Items tagged with geometry

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Is there any idea using Maple  to compute the leg lengths  in Stewart-Gough platform ( see the following figure)

I would like to make a code using cross-product and the unit Normal N 

·       P is of length 13 and displaced in the Y direction by 10 degrees from the vertical (Z axis)

·       N is displaced in the X direction by 18 degrees from the vertical (Z axis)

·       LB is position [7 5] from the bottom plate centre in the XY plane

·       LT is in position [3.5 4.2] from the top-plate centre in the AB plane

Many thanks for any help



Respected members!

I downloaded this file because I've to study the geodesics over the cone, the sphere and the cylinder (and in general on a Riemannian manifold). But when I modify the equation, putting one of that I'm interested to, the file doesn't work (for example, it doesn't recognize the "assign" command). Could you help me, please?\GeodesicsSurface.pdf



I have to plot 10 squares each one inscribed into each other. After the first one, which is a square with a side of 10m, each following square has got each edges wich are distant from the previous edges (side of the previous square)/4 metres, on the


sides of the previous square

How can i draw it?


Dear all,

I have the following question, this code:

eq1 := ExteriorDerivative(w1);  
eq2 := ExteriorDerivative(w1) &wedge ExteriorDerivative(w2);
eq1 &wedge eq2;

Gives the error:
Error, (in DifferentialGeometry:-Tools:-DGzero)  given degree, 3, exceeds that of frame dimension, 2

Unfortunately, I am not so familiar with differential geometry but as far as I know dw1 \wedge  (dw1 \wedge  dw2) = 0 should be correct.

Thank you for your help

I want to calculate the ratio of the length of day and night for every latitude on earth ?
but i confused on using Maple in a wise way for finding the formula !
this is my demonstration :



the grat circle that divides the earth's surface into two dark and bright sides

[sin(t)*cos(tilt), cos(t), sin(t)*sin(tilt)]

[sin(t)*cos(tilt), cos(t), sin(t)*sin(tilt)]


circle of revolving of a point on earth in 24 hours

[sin(t)*cos(Latitude), cos(t)*cos(Latitude), sin(Latitude)]

[sin(t)*cos(Latitude), cos(t)*cos(Latitude), sin(Latitude)]


Visualization of dark and bright side the of earth


Explore(plots[display](plots[spacecurve]({[sin(t)*cos(tilt), cos(t), sin(t)*sin(tilt), color = red], [sin(t)*cos(Latitude), cos(t)*cos(Latitude), sin(Latitude), color = blue]}, t = 0 .. 2*Pi, scaling = constrained, thickness = 4, labels = [x, y, Latitudez], labeldirections = [horizontal, horizontal, vertical], axes = frame), plottools[rotate](plottools[hemisphere]([0, 0, 0], 1, capped = false, color = green, grid = [10, 10], style = surface), 0, tilt, 0), plottools[rotate](plottools[hemisphere]([0, 0, 0], 1, capped = false, color = black, grid = [10, 10], style = surface), 0, Pi+tilt, 0)), parameters = [tilt = 0 .. Pi, Latitude = -(1/2)*Pi .. (1/2)*Pi], initialvalues = [tilt = (1/2)*Pi+.409, Latitude = 1.16])





Hello :)

When points of triangle, A, B, C (R^2) are given, how to find area of triangle; equation and radius of circle which passes traingle(A,B,C) and height(AH).

or where can i find information about how to do this?

thank you so much:)


This might not be a maple question. But I know maple has very smart and many plotting tools as well as this comunity is full of very skillfull people. So I concluded that I might get an answer here.

Lets say I got some sphere that is cut off by any abirutary plane, how would I go about plotting this?

For the purpose of this example the sphere is centred at the origin with radius of 4 and are cut of by the plane z=2-y.


Hi, I was wondering, as stated in the title, if it is possible to plot/draw a triangle knowing only the sides and angles, and not the coordinates for each point making up its corners. If not, what would be the easiest way, to calculate the coordinates using the sides and angles (assuming I know the value for each side and corner) and then plot/draw it?

I'm rather green when it comes to using Maple, so if you could explain it in a simple way that would be appreciated. 

how to Prove that the circumference of a circle of radius r is 2πr
on maple ?????

n := 5:
z1 := exp(2*3.14*I*k1/n)*cosh(z)^(2/n);
z2 := exp(2*3.14*I*k2/n)*sinh(z)^(2/n);
xx := Re(z1);
yy := Re(z2);
uu := cos(alpha)*Im(z1) + sin(alpha)*Im(z2);

i find that the 3d graph has many intersection points to itself

how to find these intersection points of calabi yau ?



Pick any point P and let Q = (1, 1, 1). [Your choice for P can be anything other than the origin or

Find an equation for the line l1 that passes through P and the origin. Plot the line segment formed by P and the origin in Maple 

How would I plot this?

I try to define an ellipse using the geometry package


ellipse(e1,['foci'=[[0,1],[4,1]], 'MajorAxis' = 8],[x,y]);


I get the message:  Error, (in geometry:-ellipse) wrong type of arguments

but the documentation tells me that I can define an ellipse this way...


Please help me solve this question using maple (need the steps in solving).

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