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multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
these are the difference in squares , a special type of binomial that you could immediately , or hopefully maybe immediately recognize . it takes the form a squared minus b squared , difference of squares , and it 's always going to be equal to a plus b times a minus b . we can factor this a squared minus 4 and we can ...
what is the proof for ( a^2-b^2 ) = ( a+b ) ( a-b ) ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain .
isnt the domain |r / ( except ) 1 ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
multiply and express as a simplified rational . state the domain .
why did sal multiply across first and factor after ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
multiply and express as a simplified rational . state the domain .
how do you multiply a rational with factoring with one variable with numbers substituted for a^2 ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
multiply and express as a simplified rational . state the domain .
how do you change the grade level ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
so the a values that would make that equal to 0 is a is equal to negative 2 . you could solve for i . you could say a plus 2 is equal to 0 , or a is equal to negative 2. a plus 1 is equal to 0 .
so my math class in doing this but the assignment says like x^+3x-10*x^+5x+6 x^+8x+15* x^+4x+4 and i honestly dont know how to solve it could you help me so i can finish the assignment ?
multiply and express as a simplified rational . state the domain . let 's multiply it , and then before we simplify it , let 's look at the domain . this is equal to , if we just multiplied the numerators , a squared minus 4 times a plus 1 , all of that over -- multiply the denominators -- a squared minus 1 times a plu...
all you 're going to be left with is an a minus 2 over a minus 1 . so the simplified rational is a minus 2 over a minus 1 with the constraint that a can not equal negative 2 , negative 1 , or 1 . you 're probably saying , sal , what 's wrong with it equaling , for example , negative 1 here ?
can a-2/a-1 not be simplified to 2 ?
as we 've talked about in other videos , by the time we get into the 15th century , timur 's persia and central asia has been fragmented . you have many of timur 's descendants with their own kingdoms , especially in central asia . in 1483 , in the central asian city of andijan , now part of eastern uzbekistan , you h...
now akbar is perhaps most famous of all of the moghul rulers . as you can see , he is able to rule over india for some time . as just mentioned , humayan essentially had to reconquer , retake the throne and his hold on power was relatively weak .
on the timeline , why is there a small gap between the time of humayun 's rule and akbar 's rule ?
as we 've talked about in other videos , by the time we get into the 15th century , timur 's persia and central asia has been fragmented . you have many of timur 's descendants with their own kingdoms , especially in central asia . in 1483 , in the central asian city of andijan , now part of eastern uzbekistan , you h...
you can see here that he is able to expand the territory of the moghul empire well into south india . at its maximum extent , the moghul empire is now rivaling the amount of territory that was controlled by the moria empire , roughly 2000 years before this time . despite being the last truly strong moghul emperor , he ...
where was the original location of the empire ?
- what we 're going to do in this video is talk about a special class of random variables known as binomial variables . and as we will see as we build up our understanding of them , not only are they interesting in their own right , but there 's a lot of very powerful probability and statistics that we can do based on ...
and what i 'm going to do is i 'm going to define a random variable x as being equal to the number of heads after after ten flips of my coin . now , what makes this a binomial variable ? well , one of the first conditions that 's often given for a binomial variable is that it 's made up of a finite number of independen...
what is the different between a bernoulli variable and a binomial variable ?
- what we 're going to do in this video is talk about a special class of random variables known as binomial variables . and as we will see as we build up our understanding of them , not only are they interesting in their own right , but there 's a lot of very powerful probability and statistics that we can do based on ...
and what do i mean by each flip or each trial being independent ? well the probability of whether i get heads or tails on each flip are independent of whether i just got heads or tails on some previous flip . so , in this case , we are made up of independent trials .
why is the probability of getting heads 0.6 and not 0.5 ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
so 7.27 plus 8.34 . and it 's always important that we line up the decimal . and i 'd like to do the decimal first . so it 's 8.34 .
i think the word 'decimal ' is latin , correct ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 .
how much did the shop charge per piece of candy ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
so 7.27 plus 8.34 . and it 's always important that we line up the decimal . and i 'd like to do the decimal first . so it 's 8.34 .
can there be a prime factorization of a decimal ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ?
why would the problem have a number that does not really matter , like how tall vanessa was ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
we have to add those up . and really , they just gave us this . the length of nadia at birth really is a distraction , just so that we just do n't mindlessly add any numbers we see .
why do us humans live on earth ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds .
why is there decimals anyway ?
on saturday , william 's parents gave birth to twins and named them nadia and vanessa . when they were first born , nadia weighed 7.27 pounds and was 21.5 inches tall , and vanessa weighed 8.34 pounds . how much did the babies weigh in total ? so they tell us nadia weighed 7.27 and vanessa weighed 8.34 . we have to add...
we have to add those up . and really , they just gave us this . the length of nadia at birth really is a distraction , just so that we just do n't mindlessly add any numbers we see .
lala gave nana 30. how much do they all have ?
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that . ...
you ca n't miss the connotations of love here . > > no and there 's a little cupid sitting below that . he 's got his quiver on the ground , as though he does n't really need to do anything here because love is all around him already .
was cupid always depicted as a small child ?
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that . ...
> > oh , that 's right . when you look at the figures that are down below in the middle of the painting , you see the woman who holds the man 's arm of her own volition . she does n't need to be coaxed any longer .
those smaller , more intimate figures look less aristocratic ; possibly there are relationships between wealthy man and ordinary woman and wealthy woman and ordinary man ?
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that . ...
they have lovely passages where we can see the hand of the artist . this is something that is very typical of baroque art with reubens and also here in rococo art with watteau . > > this a period that we call the rococo and it is the enciene regime that is it is the last century the nobility will rule france .
is watteau starting to blur class distinctions ?
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that . ...
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that .
why do some oil paintings hold up so much better than others ( quality of paint ?
( bouncy piano music ) > > we 're in the louvre in paris and we 're looking at of the great 18th century french paintings , pilgrimage to cythera by watteau . > > here we are looking at a rococo painting and the main subjects of rococo paintings were the lifestyle of the aristocracy . > > well we certainly have that . ...
> > as you follow the couples as they head down the bank toward the boat that is either going to take them away from cythera or to cythera ... > > it should say that the art historians have been arguing this point for quite some time . > > you can see that the couples get closer and closer toward a state of intimacy . ...
where do people get the paints for these paintings ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
so who was the real life subject of 'mona lisa ' ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
we all remember doing it as school kids -- just getting a kick out of it . and i could see it 's especially funny for this painting . beth harris : taking something that 's so high art and making it silly , you know ?
if so , how sure could we be that the product of this process would capture what was there when the painting was first made ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think that might be true , actually . there were paintings that were famous , or important , but not celebrities in the way that the `` mona lisa '' is . sal khan : right .
why is the mona lisa so famous ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
yes , you 're right . this is probably the most famous painting world . beth harris : and i just read that most people spend about 15 seconds in the louvre looking at the painting , which is a funny statistic .
many famous paintings use the same eye-catching painting technique , but why this ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
sal khan : i see . if you go back 150 years , there was probably no such thing as super famous paintings . beth harris : i think that might be true , actually .
can someone give comparative idea of sizes along with other famous paintings ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
how was the mona lisa recovered from the person who stole it ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
how can curators clean a painting without damaging it ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
sal khan : i see . if you go back 150 years , there was probably no such thing as super famous paintings . beth harris : i think that might be true , actually .
how can old paintings survive for a long time ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
[ laughter ] i 'm somewhat skeptical of him . i would like to interpret his interpretations someday . but yes .
three quick things i would like to ask- 1 ) what 's the significance of headband like line on her forehead 9 ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
and so , the painting is a little bit different . the face is a little bit different , but we can assume that the colors might have not been that different . beth harris : exactly .
2 ) there 's lot that 's been said about her smile and also her brow-ridge both signify different emotions , can any artist explain the significance of her face ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
is there any real connection to the code or any such secret which the painting is hiding ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
what is the meaning of l.h.o.o.q written under the image of mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before .
so in the video they said the `` mono lisa '' was stolen , right ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
what inspires leonardo to do paintings ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
those things that look like jars are actually the bottom of columns cut off on either side of the painting . sal khan : so leonardo da vinci actually painted the columns , and it was cropped ? beth harris : that 's right .
why did leonardo da vinci paint the mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
who stole the mona lisa in 1911 ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
although , her reputation has grown over the years , who 's to say that we wo n't care so much about her again . sal khan : there might be a post-celebrity world at some point . [ laughter ]
what happens when someone flags a post ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
on duchamp 's mustachioed mona lisa mean ( ) ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
sir , i do n't understand why the 'mona lisa ' have mystery ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
did the 'mona lisa ' have anything to do with the relationships leonardo had in his own life ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
where is the background for the painting from ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
so he obscures the hard outlines around the forms , which tend to flatten them . one of the things that 's fun to talk about with the mona lisa , too , is all the things that people have said about her over the years . you might not be aware of the fact that sigmund freud actually had a particular interpretation of the...
i think in school one of my teachers said that mona lisa was a hidden picture of leonardo himself ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
is her name really mona lisa or is that what the painting is called ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
but yes . beth harris : freud said that the `` mona lisa 's '' smile combined the two ways that we tend to look at women in our culture . in one way , she 's very mothering and nurturing .
why is mona lisa 's smile mysterious ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
why does it seem that mona lisa is staring at you from any angle ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
how old is the mona lisa painting ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
sal khan : right . beth harris : and so , leonardo 's really the first artist in italy to do those things . to make an oil painting , which is a relatively new medium in italy .
was the mona lisa really a self portrayed of leonardo himself ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
is it true that the `` mona lisa '' was one of his artist 's assistants ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
i wonder what kind of paint they used to paint the mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
how many paintings did leonardo do before he died ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
people were interested in her , and people were writing about her and they said some interesting things . but she was n't as famous as she is now . and also , do n't forget that the technology to reproduce her existed only , really , in the 20th century in terms of mass color reproductions .
do n't paintings get damaged by camera flashes when we click pictures ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
tons of people click pics of the mona lisa every single day , how does the painting survive it all ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
[ laughter ] beth harris : i think the moustache is interesting , because there is something not entirely feminine about her . something a little bit masculine . sal khan : do you think it 's that ?
does the protective glass block the harmful rays of camera flashes , or something ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
how long did it take leonardo to paint the mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
how many years did it take for leonardo to get the lips correct ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
did leonardo davinci use any math in the making/painting of mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
so why does leonardo 's mona look yellowish ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
how did leoardo come up with a painting ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
and so her currency has certainly increased , i think , in the last 100 years or so . sal khan : i see . if you go back 150 years , there was probably no such thing as super famous paintings .
did anyone see smoke and a ballon at 1.35 ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
so why was the painting named mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
why do the eyes in the painting seem to follow you sometimes ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : yeah , i agree . and you can then understand the louvre 's decision not to clean her . sal khan : i mean , the cleaned one , she looks better .
so is the correct pronunciation of `` louvre '' loov , or loover , or loovre ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
who stole the mona lisa from the museum and how did they do it ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right .
regarding the background , can we identify the location ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
do you believe the artist tried to let out a secret through the painting ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
is 'mona lisa ' her true name ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
yes , you 're right . this is probably the most famous painting world . beth harris : and i just read that most people spend about 15 seconds in the louvre looking at the painting , which is a funny statistic .
what was the background of the famous mona lisa painting ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
and leonardo painted this in florence . and that 's because of humanism . one way that we define humanism is taking an interest in human beings , and the things of this world , and human achievement , and individuality .
why had n't humanism become popular sooner ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
in what ways does leonardo use a new formula with the portrait ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think that might be true , actually . there were paintings that were famous , or important , but not celebrities in the way that the `` mona lisa '' is . sal khan : right .
why is the mona lisa painting so important ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : portraits really took off during the renaissance beginning in the 1400s in italy . and leonardo painted this in florence . and that 's because of humanism .
why did leonardo choose a volcanic background ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood . tempera tends to look more flat than oil paint , where you can really get a sense of modeling and light and dark .
why did leonardo paint the mona lisa on wood ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
is the woman in the 'mona lisa ' smiling ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
what is the background of the 'mona lisa ' ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
who is the 'mona lisa ' a picture of ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think that might be true , actually . there were paintings that were famous , or important , but not celebrities in the way that the `` mona lisa '' is . sal khan : right .
why is the 'mona lisa ' so famous ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
who was the creator of this painting of mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
those things that look like jars are actually the bottom of columns cut off on either side of the painting . sal khan : so leonardo da vinci actually painted the columns , and it was cropped ? beth harris : that 's right .
would that mean leonardo da vinci is the best painter in the world ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i like your analogy to vulcan territory , as a star trek fan myself . that landscape is otherworldly and very mysterious . but it 's interesting , is n't it , how the bottom part of the landscape at her neck and below looks like an inhabited landscape with a winding road and a bridge , but the landscape t...
why is the landscape `` at the back of mona lisa '' is mysterious ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
how can we find the original painting of the mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
why does n't the mona lisa have eyebrows ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
do they know who copied the mona lisa in the painting found in madrid ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
those things that look like jars are actually the bottom of columns cut off on either side of the painting . sal khan : so leonardo da vinci actually painted the columns , and it was cropped ? beth harris : that 's right .
is it true that da vinci meant the mona lisa to be a conjunction of masculinity & feminity i.e , was she painted as a transgender ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think that might be true , actually . there were paintings that were famous , or important , but not celebrities in the way that the `` mona lisa '' is . sal khan : right .
it was said that other portraits were far more famous than the mona lisa , my question is what makes a specific portrait more valuable over another ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : taking something that 's so high art and making it silly , you know ? sal khan : exactly . beth harris : recently , the prado in madrid , found what turns out to be , after some scientific testing , a copy of the `` mona lisa , '' which in and of itself is not that unusual , but it turns out that their co...
so , who exactly is mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
why was the mona lisa stolen ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : taking something that 's so high art and making it silly , you know ? sal khan : exactly . beth harris : recently , the prado in madrid , found what turns out to be , after some scientific testing , a copy of the `` mona lisa , '' which in and of itself is not that unusual , but it turns out that their co...
by the way , mr. khan , since the leonardo 's mona lisa was not exactly particularly prized in the era , who and what was the thief mentioned in your video going after ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : they used fresco and tempera painting . tempera for panel painting . so this is oil on wood , whereas before , artists would paint tempera on wood .
how is this painting always confused people on the smile ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think that might be true , actually . there were paintings that were famous , or important , but not celebrities in the way that the `` mona lisa '' is . sal khan : right .
what is the mona lisa famous for ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
that 's where the creepiness comes from , because the `` mona lisa '' we see looks jaundiced -- it 's yellow . and so , the painting is a little bit different . the face is a little bit different , but we can assume that the colors might have not been that different . beth harris : exactly .
how is it different from other paintings in the medieval era ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
does the mona lisa have eyebrows ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disappeared for a couple of years and became notorious . at that point in the 19th century , the `` mona lisa '' was not the most popular painting at the louvre . paintings by other artists , like titian and raphael , were much...
do you believe that leonardo had a certain reason for painting the mona lisa , if so , then why ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
and in the other way , she seems very seductive . sal khan : i think that says more about freud than about leonardo . beth harris : you could be right .
do you think leonardo had a reasoning for using the specific volcanic or other worldly background the mona lisa ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
beth harris : your favorite . he took a reproduction of the `` mona lisa '' and drew a mustache on her . sal khan : i could imagine him doing that .
where do you believe the specific place was that the mona lisa was created ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
although , her reputation has grown over the years , who 's to say that we wo n't care so much about her again . sal khan : there might be a post-celebrity world at some point . [ laughter ]
what are some examples of other `` celebrity '' works of art around the world ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
i mean , we started with this presumption that it 's -- and it 's true -- that it 's probably the most famous painting in the world , but i guess , i 've never quite gotten why . i mean , is this just a case of marketing ? beth harris : i think it happened in 1911 , when the painting was stolen from the louvre and disa...
what is the 'golden mean ' ?
beth harris : we thought we would start by looking at what is perhaps the most famous painting in the world , and whether we can actually even really still see . sal khan : right . because i have seen this before . and i 've even visited it at the louvre -- i know i 'm pronouncing it wrong . yes , you 're right . this...
but yes . beth harris : freud said that the `` mona lisa 's '' smile combined the two ways that we tend to look at women in our culture . in one way , she 's very mothering and nurturing .
is the smile of the mona lisa the most mysterious thing in the painting ?