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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:22:18
😄
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jan Niku
03/06/2022 01:22:20
:happy:
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:30:02
https://cdn.discordapp.c…9722/unknown.png
unknown.png
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:30:03
T_T
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:30:04
im stuck again
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c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:30:31
hmm okay
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:30:41
so lets start with x=0
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:30:51
x=0 gives -y^2+5z^2+25=0
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:30:55
do you recognize this?
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c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:31:01
yeah
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:31:06
y^2 = 5z^2 + 25
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:31:23
what kind of shape is it
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:31:35
what sort of curve
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help-10
c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:31:39
https://cdn.discordapp.c…5918/unknown.png
unknown.png
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:31:42
no
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c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:31:45
no?
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:09
well
0
1
331,558,346,333,224,960
jan Niku
2119
jan Niku
false
1,056
help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:11
its a hyperbola
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:15
is the answer i was hoping for
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:19
have you done conics?
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help-10
c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:32:22
hyperbola?
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c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:32:23
no
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c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:27
ah
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:32:29
you dont need them
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:33
but theyll make your life easier!
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help-10
c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:32:40
T_T
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:32:40
https://cdn.discordapp.c…_03-672x1024.png
Conic-Sections_Part_02_V_03-672x1024.png
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:32:43
you dont need any numbers
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:32:47
just these shapes
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help-10
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jan Niku
03/06/2022 01:33:01
you get these common forms like
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help-10
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jan Niku
03/06/2022 01:33:07
x^2 + y^2 = 1
0
1
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:33:12
why is this a hyperbola?
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:12
x^2 - y^2 = 1
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1
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:33:20
oh
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:23
so first, well isolate the constant and make it positive
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help-10
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Kuri
03/06/2022 01:33:26
do i have to memorize those?
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:35
what you should remember is like
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:33:39
x^2+y^2=1
0
1
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:44
this is a round shape
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help-10
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181,493,658,212,630,530
Kuri
03/06/2022 01:33:48
5z^2-y^2= c
1
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:49
around the origin
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:53
x^2 - y^2 = 1
0
1
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:33:59
this is a hyperbola, it avoids the origin
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help-10
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Kuri
03/06/2022 01:34:04
ohh...
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:34:14
it avoids the axis which has the - before it
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:34:14
but i have to memorize every shape?
1
0
331,558,346,333,224,960
jan Niku
2119
jan Niku
false
1,056
help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:34:20
i would memorize these two
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:34:22
in this general way
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:34:24
but you dont have to
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:34:29
they just come up often
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:34:41
especially hyperbola, and it has an untuitive shape
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Kuri
03/06/2022 01:34:41
T_T
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:34:47
its not immediately evident like
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jan Niku
03/06/2022 01:34:53
-y^2 + 5z^2 + 25 = 0
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jan Niku
03/06/2022 01:34:59
its not immediately clear to me what this looks like
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Kuri
03/06/2022 01:35:07
yeah
1
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Kuri
03/06/2022 01:35:07
same
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help-10
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jan Niku
03/06/2022 01:35:12
so you memorize a form
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help-10
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Kuri
03/06/2022 01:35:13
i would try to move y to the otherside
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c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:35:19
and solve for y
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help-10
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jan Niku
03/06/2022 01:35:22
there is no good way to make this explicit
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jan Niku
03/06/2022 01:35:36
as in like
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jan Niku
03/06/2022 01:35:38
y= something
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c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:35:41
or z=something
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:35:48
its just a curve that involves variables
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:36:01
like it makes more sense to write a circle as x^2 + y^2 = 1
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:36:10
than $y = \pm \sqrt {1 - x^2}$
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help-10
c26880605aaa4a73b845222ecbcd8906
510,789,298,321,096,700
TeXit
03/06/2022 01:36:13
**jan Niku (Shuri for Honorable)**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
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181,493,658,212,630,530
Kuri
03/06/2022 01:36:30
yeah ig
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:36:33
so all you need to memorize
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:36:37
two things squared
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help-10
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jan Niku
03/06/2022 01:36:40
minus between them
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:36:44
equals a positive constant
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:36:48
ok
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:36:53
it is a hyperbola
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:36:54
$y^2 -5z^2 = 25$
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Kuri
03/06/2022 01:36:55
okok
1
0
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:36:56
this was it right
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c26880605aaa4a73b845222ecbcd8906
510,789,298,321,096,700
TeXit
03/06/2022 01:36:57
**jan Niku (Shuri for Honorable)**
https://cdn.discordapp.c…346333224964.png
331558346333224964.png
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help-10
c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:37:09
uh 5z^2 -y^2 = -25
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:37:15
its a hyperbola, and it avoids the axis attached to the negative
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jan Niku
03/06/2022 01:37:22
they have to equal a positive constant
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Kuri
03/06/2022 01:37:25
oh
1
0
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help-10
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jan Niku
03/06/2022 01:37:26
well really really they have to equal one
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Kuri
03/06/2022 01:37:28
oh righ
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jan Niku
03/06/2022 01:37:30
but i wouldnt worry about that immediately
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Kuri
03/06/2022 01:37:31
i see what you did
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:37:31
yeah
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:37:33
just make sure its positive
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help-10
c26880605aaa4a73b845222ecbcd8906
181,493,658,212,630,530
Kuri
03/06/2022 01:37:36
okok
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:37:46
okay, so this hyperbola avoids which axis?
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c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:38:00
x?
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:38:04
no
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help-10
c26880605aaa4a73b845222ecbcd8906
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jan Niku
03/06/2022 01:38:09
it avoids the axis attached to the negative
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help-10
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Kuri
03/06/2022 01:38:16
:E_think:
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Kuri
03/06/2022 01:38:24
ok i see
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Kuri
4332
Kuri
false
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Kuri
03/06/2022 01:38:37
so let me try to draw it
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c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:39:28
https://cdn.discordapp.c…9452/unknown.png
unknown.png
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help-10
c26880605aaa4a73b845222ecbcd8906
331,558,346,333,224,960
jan Niku
03/06/2022 01:39:42
yea, something like that
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help-10
c26880605aaa4a73b845222ecbcd8906
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Kuri
03/06/2022 01:39:59
okok let me try the xy plane and zx plane with that chart you gave
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