text stringlengths 6 976k | token_count float64 677 677 | cluster_id int64 1 1 |
|---|---|---|
Only if you're familiar with enough with the notation to know what the difference g(x) = f(x+1) and g(x) = f(x)+1 is. Which is pretty much exactly what the question is asking.
The second math question I couldn't have answered because I forgot how many interior angles a polygon has. Once I looked up it's (n-2)*180 degre... | 677.169 | 1 |
blog entry, I will be talking about the basics of constructions, my favorite construction, and how to do it. Before I get started, there are some key terms that I will use to describe constructions that I will define below.
- Straightedge: a ruler with no markings, used in drawing straight lines
- Compass: a geometric ... | 677.169 | 1 |
Evaluate without using a calculator: sin(60°) The answer is √3/2, but how do work this out? Can you give me a step by step answer?
Answers
sin(60degrees) is angle of a special triangle, 30,60,90.the hypotenuse in this triangle is 2.the longest leg which is opposite of 60 degrees is √3.now its asking for sin(60):imagine... | 677.169 | 1 |
given the two conics C1 and C2 consider the pencil of conics given by their linear combination λC1 + μC2
identify the homogeneous parameters (λ,μ) which corresponds to the degenerate conic of the pencil. This can be done by imposing that det(λC1 + μC2) = 0, which turns out to be the solution to a third degree equation.... | 677.169 | 1 |
The plane of rotation is the plane containing m and n, which must be distinct otherwise the reflections are the same and no rotation takes place. As either vector can be replaced by its negative the angle between them can always be acute, or at most π/2. The rotation is through twice the angle between the vectors, up t... | 677.169 | 1 |
Question 597742: Write a system of equations and solve. The sum of the measures of the two smaller angles in a triangle is 2 degrees less than the measure of the largest angle. If the middle angle measures 40 degrees less than the largest, find the measures of the angles of the triangle.
I realize that my equations wil... | 677.169 | 1 |
In my booklet it asks me to "draw a 144.32' segment in a counter clock wise direction. then it asks to show the delta angle, the length, and the radius of the curve."
how do u draw it with the instructions its giving me? how do you find out the delta angle, the length, and the radius?
this is not the only problem im fa... | 677.169 | 1 |
Question: How to find vertices of an equilateral triangle knowing coordinates of centroid?
I want to find a triangle with the vertices A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3) knowing that the point G(1,1,1) is centroid of the triagle ABC and x1, y1, z1, x2, y2, z2, x3, y3, z3 are integer numbers, but I can not find... | 677.169 | 1 |
A good answer might be:
No. In this case, it is clear that walking in a straight line
to the final destination is shorter.
Summing Displacements =/= Summing Lengths
Summing displacements (vectors) is not the same as summing their length.
In the previous example, the sum of u and v
yields a vector that is shorter than t... | 677.169 | 1 |
Geometry equations are numerous and each equations serves a masterful purpose in the bigger picture of geometry as a whole. These deal mainly with lines and angles, but go on the further deal with other items as well. The geometric equations are explicit to finding the perimeter and the area of various shapes, the surf... | 677.169 | 1 |
First of all, I have no idea what math teachers would say about any of this. I was playing around with some stuff, and I stumbled upon it. I read a few things to confirm I was right.
There are ways of looking at it: rotating the coordinate system or rotating all the points. I think the second way is a bit more intuitiv... | 677.169 | 1 |
A-level Mathematics/MEI/C1/Co-ordinate Geometry
Co-ordinates are a way of describing position. In two dimensions, positions are given in two perpendicular directions, x and y.
Straight lines
A straight line has a fixed gradient. The gradient of a line and its y intercept are the two main pieces of information that dist... | 677.169 | 1 |
Notice how the odd powers of all share the same general shape, moving from bottom-left to top-right, and how all the even powers of share the same "bucket" shaped curve.
Curves in the form
Just like earlier, curves with an even powers of all have the same general shape, and those with odd powers of share another genera... | 677.169 | 1 |
Have you drawn the figure yet? What have you done to try to answer the problem? What are you stuck on and need help with? Do you know the properties of a cyclic quadrilateral? Do you understand how to draw the figure? We don't just do problems for you but can help you get started.
Question: What is the current challen... | 677.169 | 1 |
In an ellipse with major axis of 2a, minor axis of 2b, and foci c (on the
major axis), the relationship c squared = a squared - b squared holds
true... how do the three numbers fit into a Pythagorean relationship?
I want to have my students draw a scale model of the solar system that
shows the orbits of the planets. As... | 677.169 | 1 |
A right triangle ABC has to be constructed in the xy-plane [#permalink]
08 Sep 2010, 12:21
1
This post received KUDOS
00:00
Question Stats:
86%(01:00) correct
13%(02:51) wrong based on 3 sessionsQuestion should specify that x- and y-coordinates of A, B, and C are to be integers.
We have the rectangle with dimensions 9*... | 677.169 | 1 |
This very broad topic is one of the most ancient areas of study known to man. It may not be hugely inviting for many students, but it is not possible to avoid. Included in this vast area are points, angles, lines, triangles, parallelograms, etc. - the list is indeed long.
Euclid is the point where our study of modern d... | 677.169 | 1 |
Notsurehowtodrawitherebutonpaperyouwillseetheoriginalsimplex (whichwillbeatriangle)dividedinto4sub-triangles0,0.5,0.5)$.Theorderingisrestored with the vertices(v1,v5,v6),(v2,v4,v5),(v3,v4,v6)and(v4,v5,v6)transformation,i.e.,$(2,0,0)$refersto$1,0,0$.
I believe it might be a simple question with simple solution but I am ... | 677.169 | 1 |
Heron's formula is distinguished from other formulas for the area of a triangle, such as half the base times the height or half the modulus of a cross product of two sides, by requiring no arbitrary choice of side as base or vertex as origin.
Contents
The formula is credited to Heron (or Hero) of Alexandria, and a proo... | 677.169 | 1 |
Perpendicularity is described as two lines in the same plane
that intersect to form right (90º) anglesParallel and perpendicular lines are shown below:
PO 2. Justify which objects in a collection M04-S5C2-06. Summarize mathematical Example:
match a given geometric description. information, explain reasoning, and draw ... | 677.169 | 1 |
[Median is calculated based on the number of elements in a set, while mean is calculated based on the values of those elements. A single outlier does not have a big impact on a median because it is still only 1 element of the set. However, a single outlier does change the mean significantly because its value is very di... | 677.169 | 1 |
Pages
Monday, April 18, 2011
Perspective: X Marks the Center
Perspective is merely a trick to help create realistic-looking three dimensional space on a two dimensional surface.One, two and three point perspectives are very good tools for creating this sense of depth.However, within the basic rules of perspective there... | 677.169 | 1 |
With such a starting point in place, we still need to model the two parabolic mirrors. Given our purpose and the complexity of 3-D modeling, we choose to model the mirascope using a two-dimensional approach or rather, a cross section of the 3-D mirascope. Accordingly, we need two parabolas. While a parabola can be cons... | 677.169 | 1 |
3 Questions from Cal II Quiz
I missed the following 3 questions on my Cal II quiz this week.
Someone please show me how to work them so I can find my mistake.
Show your work for a good rating.
13) Find the rectangular coordinates of the point(s) of
intersection of the following polar curves. r=6sin? r=6cos?
15) Calcula... | 677.169 | 1 |
meridians and the parallels (which can be different).
At 51 degrees the ration lat/long should be 1/cos(51) = 1.59
(for the oblate spheroid that the Earth really is the figure
is nearer 1.585). If the figure found is different, outwith
errors, then the map is stretched N-S or E-W.
A little trigonometry is used to find ... | 677.169 | 1 |
Jeffrey Everett's Discussions…Continue
"Looks like you may have figured out a way. My process for that is:
1. Take the core line of the doughnut (the primary circle of a torus or basically the circle at the center) and analyze it for length.
2. make a line of that length.
3. make a spiral…" wrapped around a donut. Am I... | 677.169 | 1 |
Syndicate
You are here
Calculating distance
By ockley on Tue, 03/06/2012 - 16:56
One of the formulas, that you will use all the time, is the formula that calculates the distance between two points on the screen. As far as I know it is an old invention from the old Greeks, more specific the guy called Pythagoras. He mad... | 677.169 | 1 |
37. As shown in the standard (x,y) coordinate plane below, P(6,6) lies on the circle with center (2,3) and the radius 5 coordinate units. What are the coordinates of the image of P after the circle is rotated 90 degree clockwise about the center of the circle.
I'm assuming that your sketch is drawn like in the problem.... | 677.169 | 1 |
GMAT/MBA Expert
Start with the definition of a square: four equal sides and four right angles.
statement 1 tells you that you have 2 right angles but does not tell you anything about the sides. insufficient.
STatement 2 tells you that you have 3 equal sides, but if one side is much smaller then this isn't a square - in... | 677.169 | 1 |
A student familiar with the definition of z-scores wonders why we use standard
deviations to calculate them. Illustrating two ways, Doctor Peterson explains the
concept of scaling that motivates this statistical measure.
As far as I know, a trapezoid is defined as a quadrilateral with exactly one set of parallel sides.... | 677.169 | 1 |
The length of the string is "c". "a" is the distance from the motor down vertically to where you want to be (the Y coordinate). "b" is the distance from the motor to where you want to be (the X coordinate). Doing this calculation for both of the motors gets you the distance you want each of the two string to be to land... | 677.169 | 1 |
We can remember this by imagining that the minus sign flips the direction of the edge, so if uv=−1, then edge-u must be identified antiparallel with edge-v, and if uv=1, they must be identified parallel. However, here is a picture to show why this works:
a'aa'±1a+1a+1a1× a'a'aa'±1a+1a'±11a'
On the left hand side, we sh... | 677.169 | 1 |
William Wallace's proof of the "butterfly theorem"
Problem
AB is the diameter of a Circle, CD a chord cutting it at right angles in K, EF and HG two other chords drawn anyhow through the point K, and HF, EG chords joining the extremes of EF, HG. It is required to prove that MK is equal to KL.
Demonstration
Through L dr... | 677.169 | 1 |
tail to tip. The lengths of the vector arrows are drawn to scale, and the angles
are drawn accurately (with a protractor). Then, the length of the arrow
representing the resultant vector is measured with a ruler. This length is
converted into the magnitude of the resultant vector by using the scale
factor with which th... | 677.169 | 1 |
Shapes
I built castles made out of shapes at school. I built big castles. I built little castles. I used cones. I used squares. I used circles. I used rectangles. I used semi-circles. There are attributes on shapes. Shapes roll. A triangle top is pointy. Some shapes have flat or straight sides. A few shapes have corner... | 677.169 | 1 |
Oil Line Puzzle Instructions
Congruent triangles can be used to find the shortest
distance.
Consider the case of an oil company that needs to pump
oil from the main line to two different stations, A and B.
A single pumping station can tap into the line and pump oil
to these locations (A and B). Where is the best place ... | 677.169 | 1 |
Saturday, October 1, 2011 at 12:59pm by kelvyn
Geomatry What is the value of the variable and BC if B is between A and C. AB=4x BC=5x AB=16
Tuesday, September 13, 2011 at 7:36pm by Chase
geometry Trapezoid ABCD has height 4, BC=5, and AD and BC are perpendicular. Find the area of the trapezoid.
Sunday, February 13, 201... | 677.169 | 1 |
Math sorry i dont see a picture. But, I'll explain what should be seen. Make a right triangle. From the angle <B, where B is 90 degrees, draw an altitude down to CA. Call that point D. We see that ABC and BCD are similar triangles. BC/CD=AC/BC, so BC^2=AC*CD. Likewise, ...
Monday, November 19, 2012 at 11:26am by mathta... | 677.169 | 1 |
parabola
pa·rab·o·la
a plane curve formed by the intersection of a right circular cone with a plane parallel to a generator of the cone; the set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane. Equation: y2 = 2 px or x2 = 2 py.
Gk. parabole "parabol... | 677.169 | 1 |
Two-dimensional space
From Wikipedia, the free encyclopedia
Bi-dimensional space is a geometric model of the planar projection of the physical universe in which we live. The two dimensions are commonly called length and width. Both directions lie in the same plane.
In physics and mathematics, a sequence of nnumbers can... | 677.169 | 1 |
Special Features Of Isosceles Triangles
posted on: 18 Apr, 2012 | updated on: 18 May, 2012
Triangles are the polygons with three sides. We say that the triangle is the closed figure with three sides. Now we need to know that the Triangles are classified as per the measure of their lengths of their sides. We say that th... | 677.169 | 1 |
The perimeter of any triangle is simply the sum of the lengths of the three sides; so, if p is the perimeter and the three sides are a, b, and c, then
p = a + b + c
Then, by the Pythagorean theorem, if c is the hypoteneuse (the side opposite the right angle), then
a^2 + b^2 = c^2
So, just plug in the squares of the two... | 677.169 | 1 |
The Knewton Blog
Nate is a content developer at Knewton, and he loves thinking up ways to help students with their GMAT prep.
–
Geometry is an important part of any GMAT test-taker's conceptual toolkit. On Data Sufficiency geometry questions, it's especially key to have an intuitive feel for what is and is not solvable... | 677.169 | 1 |
In geometry, there are names for all polygons up to ten sides. Pass ten, and there are accepted names for the even sided polygons. Currently there are two proposed names for an 11 sided polygon, undecagon, and hendecagon For more information...
Polygons are named by number of Internal angles in Greek prefix. Greek pref... | 677.169 | 1 |
In the picture, some common angles, measured in radians, are given. Measurements in the counterclockwise direction are positive angles and measurements in the clockwise direction are negative angles.
Let a line through the origin, making an angle of θ with the positive half of the x-axis, intersect the unit circle. The... | 677.169 | 1 |
14.0 Students prove the Pythagorean theorem. This theorem can be proved initially by using similar triangles formed by the altitude on the hypotenuse of a right triangle. Once the concept of area is introduced (Standard 8.0), students can prove the Pythagorean theorem in at least two more ways by using the familiar pic... | 677.169 | 1 |
Nine point circle
In geometry, the nine point circle is a circle that can be constructed for any given triangle. It is named so because it passes through nine significant points, with six of them lying on the triangle itself:
... the circle which passes through the feet of the altitudes of a triangle is tangent to all ... | 677.169 | 1 |
C
Cause-Effect Diagram
A popular diagram used to analyze the causes of problems which provides an overview of all the possible causes. One starts at the right and lists the problem, and then extends a straight line to the left. From the line, one draws tangential lines and lists causes of the problems at the end of tho... | 677.169 | 1 |
sin (s + t) = sin s
cos t + cos s sin t
sin (s – t) = sin s
cos t – cos s sin t
cos (s – t) = cos s
cos t + sin s sin t
cos (s + t) = cos s
cos t – sin s sin t
you can find the sine and cosine for 3° (from 30° and 27°)
and then fill in the tables for sine and cosine for angles from 0°
though 90° in increments of 3°.
Ag... | 677.169 | 1 |
Question 331516) )}}}
<pre><font size = 4 color = "indigo"><b>
Locate point E so that triangle EAB is congruent to triangle DAC))
)}}}
Draw ED))
)}}}
Extend BC to F so that CF = CD. Draw DF)),
green(line(2*cos(80*pi/180),0,1,0),line(.6736481777,.5652579374,1,0),
locate(1,0,F))
)}}}
I won't go through every step. I'll j... | 677.169 | 1 |
(This is a cognitive tuter program done via the internet. It will not let us go any further until we complete this blank. When we ask for a hint we get this: Please write a formula using the variable A and B to express the distances the pigeons flew to return home. In a right triangle, if the lengths of two legs are A ... | 677.169 | 1 |
Question 351960: (1)Quadrilateral PQRS is a rectangle with diagonals PR and QS.If angle 1=18, find the measures of angle 2,angle 3 and angle 4
So I think angle 4 is also =18 but I have no idea what the other angles are or how I would find out???
Please help me with this... Click here to see answer by jrfrunner(365)
Que... | 677.169 | 1 |
The shaded triangle has one right angle (its a "right triangle") and two other angles, ∠x and
∠?. Complete the triangle to a rectangle. In the upper corner, we see two angles, ∠x and ∠y,
that add to 90◦ . But if we cut along the diagonal, we can rotate and slide the unshaded part to
exactly match the shaded part. That ... | 677.169 | 1 |
Pages
Friday, May 27, 2011
(This is a continuation of the previous post, talking about a previous GeoGebra project we did in Precalc.) Here are some samples of circles and associated waves that students did from scratch in GeoGebra: Part 1, where kids had to create a slowly counterclockwise rotating point along the uni... | 677.169 | 1 |
You can put this solution on YOUR website! The locus of points in a plane that are equidistant from points A and B in the plane is a line that is the perpendicular bisector to line that connects the two points.
So the solution is which means that you need 2 cubic feet of soil containing 45% sand.
Probability-and-statis... | 677.169 | 1 |
Spherical coordinates are given by ρ, ϴ, and Φ
ρ is the distance from the origin
ϴ is the angle from the positive x-axis to the positive y-axis
Φ is the angle between the positive z-axis towards the negative z-axis
NOTE: by convention, we put the following bounds on ρ:
ρ≥ 0
0 ≤ Φ
≤
∏
(15.8) Conversions between rectangu... | 677.169 | 1 |
optimization: square inscribed in a square
optimization: square inscribed in a square
1. The problem statement, all variables and given/known data
Each edge of a square has length L. Prove that among all squares inscribed in the given square, the one of minimum area has edges of length [tex]\frac{1}{2}L\sqrt{2}[/tex]
2... | 677.169 | 1 |
RNM27
RNM27
Visitor Messages
Hey Al, Do I just choose the degree and just do the work. Or does the job dimensions draw a right triangle for you. And you solve it plugging in your measurements? Which part of the job represents which side of the triangle. For example, Is the line of Kicks the hypotneuse? Is the spacing i... | 677.169 | 1 |
A reference mark (of the plan or space) is the data of a base and a point of reference, in general noted O . We will suppose here that the base used for the vectors is the same one as that used for the reference mark. If the coordinates of the point has are ( xA, yA, zA) and those of the point B are ( xB, yB, zB), then... | 677.169 | 1 |
I am a Java Developer.
Main menu
Post navigation
Four Points Determine A Square (Java)
Consider a list of four points on a plane; the points have integral coordinates, and their order is irrelevant. The four points determine a square if the distances between them are all equal, and the lengths of the two diagonals are ... | 677.169 | 1 |
Question 12604: I have had very little geometry and don't even know where to begin with this problem.
If one-half of the complement of an angle plus three-fourths of the supplement of the angle equals 110 degrees, find the measure of the angle.
I appreciate the help tons!!!
capesch Click here to see answer by Adolphous... | 677.169 | 1 |
A plane which passes through the cube's center produces a cross section
in form of a square (the leftmost cube in the illustration). A plane which
passes through the three corners of the cube only produces a cross section
in form of a regular triangle (the rightmost cube in the illustration).
The objective is to find t... | 677.169 | 1 |
This will always result in the correct angle. In our example, we have numerator = 0.8138 and denominator = 0.040009, with the denominator being positive. Then we compute arctan(0.8138/0.040009) = arctan(20.340) = 87.19°. Since the denominator was positive, there is nothing further to do, and 87.19° is the final result.... | 677.169 | 1 |
The above techniques + your favorite computer algebra system make it easy to check that neither 1 degree nor 2 degrees are constructable angles. If Tn(x) denotes the Chebyshev polynomial of degree n (that is, cos(nx)=Tn(cos(x))), then cos(1) is a root of T60(x)-1/2, which has no irreducible factors of degree a power of... | 677.169 | 1 |
Geometry Review by Leonard Blackburn, Parkland College
General Information
This web site is to serve as a brief and general review of basic facts of high school
geometry. The lessons are intended to be read by someone who has completed some such geometry
course and needs a refresher. It is not intended to be comprehens... | 677.169 | 1 |
This post is about alternate coordinate systems, in addition to the familiar Cartesian system, where each axis is at right angles to every other axis. The terminology I use is xMy where x is the number of axes and y the number of dimensions being measured. Cartesian coordinates are 1M1, 2M2, and 3M3 in 1, 2, or 3 dimen... | 677.169 | 1 |
7th grade geometry I need help desperately with geometry. the geometry is Area: Parallelograms, Triangles, and Trapezoids. It's really hard for me. Only if you get the concept. Anyway, Pleaswe help me!!!!!!!!!!
Monday, January 28, 2008 at 6:52pm by Janelle-Marie
precalc Suppose that z1=6-8i. Find: A. The Trig Form of t... | 677.169 | 1 |
IT says "if we delete one of the n+1 vertices of an n-simplex $[v_0, ...,v_n]$ then the remaining n vertices span an (n-1)-simplex, called a face ..."
So, is this the same "span" in linear algebra. Suppose we take a 1-simplex, or also known as a triangle, remove one of its vertices, we have two vertices and it spans th... | 677.169 | 1 |
Area
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The term surface area refers to the total area of the exposed surface of a 3-dimensional solid, such as the sum of the areas of the exposed sides of a polyhedron.
Right Triangles
A r... | 677.169 | 1 |
y1 = R1 - COS (A) * R1
y2 = R2 - COS (A) * R2
Now, to find angle (A), we must construct two right triangles. For one triangle, draw a line from the center of R2 horizontally to the vertical line that intersects the center of R1. The length of this line, which is the height of our triangle, is W. Draw another line from ... | 677.169 | 1 |
Side
From Thinkmath
The word "side" becomes ambiguous when we are talking about three-dimensional figures. For example, casual (but not mathematical) speech might describe a cube as having six "sides," yet when people are asked how many "sides" a room (shaped exactly like the cube) has, they tend to answer four (not co... | 677.169 | 1 |
CE 353 Lab Week 6: Spiral Curves
Objectives
The objectives of this lab are to learn the theory of spiral curves for horizontal alignment, obtain hands-on experience with procedures for establishing these curves in the field and to assess quality of measurements by doing field checks. Groups will be assigned to develop ... | 677.169 | 1 |
Computing the height of the building.
Solve the following application problem.
A.A man at ground level measures the angle of elevation to the top of a building to be 530. If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round t... | 677.169 | 1 |
Problem at the Art Gallery
In my role as a security consultant, it looked like one of my tougher assignments. The Crystal Art Gallery was being readied for its grand opening, and I had to figure out how many guards were needed to make sure that every wall of paintings was under scrutiny. I was also ordered to keep cost... | 677.169 | 1 |
So, this is equal to a measure of angle one and this is obviously angle two. You see immediately that there have to be supplementary right because when you add them together you get a 180 degrees, alright. Together they go all the way around and they kind of form a line. So, you know that if this angle and this angle a... | 677.169 | 1 |
Examples
Encyclopedia article of circle at compiled from comprehensive and current sources. Circles are simple closed curves which divide the plane into an interior and an exterior. — "Circle encyclopedia topics | ",
A circle is defined as the set (or locus) of points in a plane with an equal distance from a fixed poin... | 677.169 | 1 |
About AppShopper
Triangle Utility
iOS iPhone
Triangle Utility allows to solve 3 different technical engineering problems using a triangle calculation. Using the bottom tab bar the user can switch at any moment from one problem to another maintaining the data used in any of the 3 different calculations. The available ca... | 677.169 | 1 |
Analysis
this page is still under development
A linear measure, as on the 'ruler' illustrated to the left, is generally made by calibrating a strip of "dimensionally stable" material, such as seasoned wood, or a plastic like Perspex (a.k.a. Lucite, or Plexiglas).
Dividers, such as the pair illustrated on the right, mig... | 677.169 | 1 |
the path, of 214.4 from the starting node, or about (214.4-70.7)/158.1
= 90.88% of the distance from (350,50) to (400,100). That is, the
midpoint will be at about (389.8,89.8).
We may retrieve similar results (with far less conceptual
work) by invoking the getTotalLength and getPointAtLength
as
in the following.
getTot... | 677.169 | 1 |
coplanar mean all the points lie on a plane or a flat 2-dimensional surface the points can be spread out but have to lie in the plane collinear means are the point lie in one straight lineif points are all collinear then they're also coplanar
Simple.Coplaner: Like the teacher said, Co = together, planer = plane. They a... | 677.169 | 1 |
By putting the point at some distance between these we can get any rotation between 0 and 180 degrees. We can get negative angles by moving in the opposite direction along the line.
Therefore we can do any rotation, translation combination in one rotation.
Doing the rotation-translation in one operation like this can m... | 677.169 | 1 |
smithy wrote:Zaba - thank you, I was right! I think your educated husband was too - there is a distinction between the arrows directing attention to the items, and the one showing the direction of rotation.
Meaning the rotational arrow has a tail on it because it has no "starting point" like the others?
How unique are ... | 677.169 | 1 |
Another way to see what is happening is to consider P(5, 1.1).
This is nearly the 4D simplex but with its 5 vertices clipped off.
The exposed small face at each clipping is a tetrahedron.
We have a truncated 4 simplex.
As x moves from 0 to 1, the truncation of P(5, 1+x) increases until the exposed faces meet at points ... | 677.169 | 1 |
The method for Bending a Cornice round the internal part of a Circular body on the Spring, p. Plate 146
Page Plate 146
Plate 146.
The method for bending a cornice round the internal part of a circular body
on a spring.
The method for bending a cornice round a circular body external as the cornices
a on the spring draw ... | 677.169 | 1 |
St 1. We are told that one of the angles is 90 but we don't know which. We know for sure that the side that equals 5 cannot be hypothenuse. Thus, the side 13 can be either the second leg of the right triangle or the hypothenuse. INSF
St2 Gives us an area (30) but we can not derive anything from that
If you combine 2 St... | 677.169 | 1 |
two sides are parallel and the other two sidesare not parallel. By orienting a trapezoid sothat its parallel sides are horizontal, we maycall the parallel sides bases.
Observe that thebases (See fig. 17-15.)
Figure 17-15.-Typical trapezoids.
The area of a trapezoid may be found
byseparating it into two triangles and a ... | 677.169 | 1 |
Cylindrical coordinate
Cylindrical coordinate system
The cylindrical coordinate system is a three-dimensional coordinate system which essentially extends circular polar coordinates by adding a third coordinate (usually denoted z) which measures the height of a point above the plane.
The notation for this coordinate sys... | 677.169 | 1 |
3. Mirascope Construction Using Geogebra
3.1 Define Two Parabolas Algebraically
In order to align the two parabolic mirrors accurately, we use algebraic functions to model the two face-to-face parabolas. We start with two constant variables, \(a\) and \(c\), where \(a\) controls the orientation and curvature of the par... | 677.169 | 1 |
By putting the point at some distance between these we can get any rotation between 0 and 180 degrees. We can get negative angles by moving in the opposite direction along the line.
Therefore we can do any rotation, translation combination in one rotation.
Doing the rotation-translation in one operation like this can m... | 677.169 | 1 |
Construction from perspective triangles
Two perspective triangles, and their center and axis of perspectivity
Two triangles ABC and abc are said to be in perspective centrally if the lines Aa, Bb, and Cc meet in a common point (the so-called center of perspectivity). They are in perspective axially if the crossing poin... | 677.169 | 1 |
Now that you know how to work a
coordinate grid you can now go on to the longitude and latitude.
The first thing that you want to
learn is that longitude goes from the tip of the north pole to the very bottom of the
south pole. Latitude is something different. Latitude is parallel or in other words the
lines never touc... | 677.169 | 1 |
Step-by-step Procedure for Calculating Directions
The following is the step-by-step procedure for calculating azimuth of line BC for the figure shown in Steps 1 through 4.
Step 1
Plan and prepare. Determine a known azimuth. In this case, it is shown to be 45 and the direction that the calculation will proceed (clockwis... | 677.169 | 1 |
The Story of Ninety Three Degrees - whats in a name
In geometry and trigonometry, a right angle is an angle of 90 degrees. Throughout history carpenters and masons have known a quick way to confirm if an angle is a true "right angle."
It is based on the most widely known Pythagorean triple (3, 4, 5) and so called the "... | 677.169 | 1 |
Calculate Angles how to articles and videos including How to Calculate Interior Angles, How To Calculate an Angle From Two Sides, How to Find the Sum of the Number of Sides of a Polygon and much more!. — "Calculate Angles - How To Information | ",
Images
the house that Alex built is a sprawling complex over under and i... | 677.169 | 1 |
1.) if sin x= (12/13), cos y=(3/5) and x and y are acute angles, the value of cos(x-y) is
a.(21/65) b.(63-65) c. -(14/65) d. -(33/65)
2.) if the tangent of an angle is negative and its secant is positive, in which quadrant does the angle terminate
1,2,3 or 4 i thought it was the second quadrant but i dont understand th... | 677.169 | 1 |
Proposition 12
To draw a straight line perpendicular to a given infinite straight line from a given point not on it.
Let AB be the given infinite straight line, and C the given point which is not on it.
It is required to draw a straight line perpendicular to the given infinite straight line AB from the given point C wh... | 677.169 | 1 |
We are now wondering when builders are building houses how do they measure the angle on the house that they are building. Do they have to carry a huge protractor to measure the house? When we were building the houses we had trouble keeping them straight and stable. I think that builders must have an easier way because ... | 677.169 | 1 |
If it is a right triangle, one of the angles has to measure . One other angle is given as . The sum of the measures of the three angles of any triangle is .
John
My calculator said it, I believe it, that settles it
Linear-equations/334213: A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the ... | 677.169 | 1 |
2-May-2000, 10:21
"preruse" ?
Pete Andrews
2-May-2000, 10:50
The word "geometry" also has another meaning when applied to lenses. It can be used to describe how well a lens renders straight lines straight, or whether the reproduction scale changes from the centre of the field to the edge. For instance; a lens exhibitin... | 677.169 | 1 |
Question 482014
5pi/3 does correspond to a main angle. And you can do it with only the unit circle.
First locate 5pi/3 on the unit circle. The x-coordinate of that point (you determine this using the special right triangle) is the cosine of that angle, and the y-coordinate is the sine of that angle. Since tangent of an... | 677.169 | 1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.