L*M
发帖数: 8 | 1 Anyone who has Mathematica or maple, lease help me solve following equations:
(Yc-Y0)**2 + (Xc-X0)**2 = r**2
(Y1-Y0)**2 + (X1-X0)**2 = (r-r1)**2
(Y2-Y0)**2 + (X2-X0)**2 = (r-r2)**2
r, X0, Y0 are variables. r1, r2, X1, Y1, X2, Y2, Xc, Yc are paremeters.
TIA |
b*******n
发帖数: 5065 | 2
equations:
find the co-center?
it is too messy to post.
if given parameters, then simple form.
【在 L*M 的大作中提到】
: Anyone who has Mathematica or maple, lease help me solve following equations:
: (Yc-Y0)**2 + (Xc-X0)**2 = r**2
: (Y1-Y0)**2 + (X1-X0)**2 = (r-r1)**2
: (Y2-Y0)**2 + (X2-X0)**2 = (r-r2)**2
: r, X0, Y0 are variables. r1, r2, X1, Y1, X2, Y2, Xc, Yc are paremeters.
: TIA
|
L*M
发帖数: 8 | 3 No, i am trying to find the radius of a arc which tangent to two other arcs
and pass through a point.
Please post the solution. I need it urgently.
Thanks
【在 b*******n 的大作中提到】
:
: equations:
: find the co-center?
: it is too messy to post.
: if given parameters, then simple form.
:
|
L*M
发帖数: 8 | 4 So many viewers and no one is willing to help? Come on, guys and gals, give
me a hand.
arcs
【在 L*M 的大作中提到】
: No, i am trying to find the radius of a arc which tangent to two other arcs
: and pass through a point.
: Please post the solution. I need it urgently.
: Thanks
|
b*******n
发帖数: 5065 | 5
give
why do you need it?
I have the solution. it is unreadable lengthy.
just give your analytical reasoning is enough.
solution exists or not depending on parameters.
【在 L*M 的大作中提到】
: So many viewers and no one is willing to help? Come on, guys and gals, give
: me a hand.
:
: arcs
|
L*M
发帖数: 8 | 6 I need the solution in my work. Is there a way you can cut and paste it here?
thanks
【在 b*******n 的大作中提到】
:
: give
: why do you need it?
: I have the solution. it is unreadable lengthy.
: just give your analytical reasoning is enough.
: solution exists or not depending on parameters.
|
b*******n
发帖数: 5065 | 7
here?
[r,x0,y0]=
[[r = 1/2*(r1^2*X2-Y1^2*X2+Y1^2*Xc-X1*Yc^2-X2*X1^2+X1^2*Xc-X1*Xc^2+X2*Xc^2
+Yc^2*X2-r2^2*X1+X2^2*X1+Y2^2*X1+r2^2*Xc-X2^2*Xc-Y2^2*Xc-2*Y1*RootOf(-2*r2^2
*Xc^3*X1+2*r1^3*r2*Xc^2-2*r1^2*r2^2*Y1^2+2*X1^4*Xc*X2-2*r1^2*r2^2*Xc^2+2*r2^
2*Yc^2*Xc^2+2*r1^2*X2^2*X1^2-2*r1^2*Xc^3*X1+2*r1^3*r2*X2^2-2*r1^3*r2*Yc^2-2*
Y1^2*X1*Yc^2*X2+2*r1^3*r2*Y2^2-2*X1^3*Xc^2*X2-2*r1^2*X2*Xc^3+2*r1^2*X2^2*Xc^
2+2*r1^2*Y1^2*X2^2+4*r1^2*r2^2*Yc^2-2*r1^2*Y2^2*r2^2-2*r1*r2*Yc^4+r2^2*Xc^4+
r2^2*Yc^4+r2^2
【在 L*M 的大作中提到】
: I need the solution in my work. Is there a way you can cut and paste it here?
: thanks
|
L*M
发帖数: 8 | 8 are you kidding me????
What's the "_Z" in the solution? I do not have _Z in my equation.
Did you make a mistake, or a typo???
^2
^2
r2^
2*
Xc^
4+
2*
【在 b*******n 的大作中提到】
:
: here?
: [r,x0,y0]=
:
: [[r = 1/2*(r1^2*X2-Y1^2*X2+Y1^2*Xc-X1*Yc^2-X2*X1^2+X1^2*Xc-X1*Xc^2+X2*Xc^2
: +Yc^2*X2-r2^2*X1+X2^2*X1+Y2^2*X1+r2^2*Xc-X2^2*Xc-Y2^2*Xc-2*Y1*RootOf(-2*r2^2
: *Xc^3*X1+2*r1^3*r2*Xc^2-2*r1^2*r2^2*Y1^2+2*X1^4*Xc*X2-2*r1^2*r2^2*Xc^2+2*r2^
: 2*Yc^2*Xc^2+2*r1^2*X2^2*X1^2-2*r1^2*Xc^3*X1+2*r1^3*r2*X2^2-2*r1^3*r2*Yc^2-2*
: Y1^2*X1*Yc^2*X2+2*r1^3*r2*Y2^2-2*X1^3*Xc^2*X2-2*r1^2*X2*Xc^3+2*r1^2*X2^2*Xc^
: 2+2*r1^2*Y1^2*X2^2+4*r1^2*r2^2*Yc^2-2*r1^2*Y2^2*r2^2-2*r1*r2*Yc^4+r2^2*Xc^4+
|
b*******n
发帖数: 5065 | 9
arcs
your equations are not the solution to your problem then.
think it again.
don't just beg for solution.
【在 L*M 的大作中提到】
: No, i am trying to find the radius of a arc which tangent to two other arcs
: and pass through a point.
: Please post the solution. I need it urgently.
: Thanks
|
x********g
发帖数: 595 | 10 Seriously,
r -> (r2^2 - X2^2 + Xc^2 - Y2^2 + Yc^2 + (Y2*(4*r1^2*r2^2*Y1 - 4*r1*r2^3*Y1
- 4*r2^2*X1^2*Y1 + 4*r2^2*X1*X2*Y1 - 4*r1^2*X2^2*Y1 + 4*r1*r2*X2^2*Y1 +
4*X1^2*X2^2*Y1 - 4*X1*X2^3*Y1 + 4*r2^2*X1*Xc*Y1 + 8*r1^2*X2*Xc*Y1 -
8*r1*r2*X2*Xc*Y1 - 4*r2^2*X2*Xc*Y1 - 8*X1^2*X2*Xc*Y1 + 4*X1*X2^2*Xc*Y1 + 4*
X2^3*Xc*Y1 -
4*r1^2*Xc^2*Y1 + 4*r1*r2*Xc^2*Y1 + 4*X1^2*Xc^2*Y1 + 4*X1*X2*Xc^2*Y1
- 8*X2^2*Xc^2*Y1 - 4*X1*Xc^3*Y1 + 4*X2*Xc^3*Y1 - 4*r2^2*Y1^3 + 4*X2^2*Y1^3 -
8*X2*Xc*Y1^3 + |
B********e
发帖数: 10014 | 11 第257行第4项的系数应该是5，不是4
Y1
-
Y1
-
r2
Y2
【在 x********g 的大作中提到】
: Seriously,
: r -> (r2^2 - X2^2 + Xc^2 - Y2^2 + Yc^2 + (Y2*(4*r1^2*r2^2*Y1 - 4*r1*r2^3*Y1
: - 4*r2^2*X1^2*Y1 + 4*r2^2*X1*X2*Y1 - 4*r1^2*X2^2*Y1 + 4*r1*r2*X2^2*Y1 +
: 4*X1^2*X2^2*Y1 - 4*X1*X2^3*Y1 + 4*r2^2*X1*Xc*Y1 + 8*r1^2*X2*Xc*Y1 -
: 8*r1*r2*X2*Xc*Y1 - 4*r2^2*X2*Xc*Y1 - 8*X1^2*X2*Xc*Y1 + 4*X1*X2^2*Xc*Y1 + 4*
: X2^3*Xc*Y1 -
: 4*r1^2*Xc^2*Y1 + 4*r1*r2*Xc^2*Y1 + 4*X1^2*Xc^2*Y1 + 4*X1*X2*Xc^2*Y1
: - 8*X2^2*Xc^2*Y1 - 4*X1*Xc^3*Y1 + 4*X2*Xc^3*Y1 - 4*r2^2*Y1^3 + 4*X2^2*Y1^3 -
: 8*X2*Xc*Y1^3 +
|
x********g
发帖数: 595 | 12 人尽量要诚实。
【在 B********e 的大作中提到】
: 第257行第4项的系数应该是5，不是4
:
: Y1
: -
: Y1
: -
: r2
: Y2
|
B********e
发帖数: 10014 | 13 嗯，记下了
【在 x********g 的大作中提到】
: 人尽量要诚实。
|
