Description:
Geometry Research. (Moderated)
|
|
|
A conjecture on convex symmetric curve. How to prove it?
|
| |
Suppose Q is a central symmetric convex planar curve. We define f(Q) to be max{Area(P)/Area(Q) | "P is a parallelogram inside Q."} And we want to find f_min= min{f(Q)}. It's trivial that f_min > 1/2. And with some exploration I can prove f_min> 4/(4+pi)=0.56 . On the other hand, for any ellipse Q, f(Q)=2/pai. so f_min <=2/pai=0.6366 .... more »
|
|
|
TO DIVIDE AN ANGLE IN ANY NUMBER OF EQUAL PARTS
|
| |
TO :AVNI PLLANA FROM : Shyamal Kumar Das Sir, May I request you to go through my letters post on oct 8, 14, 19 , 2010 on the subject addressed to Mr. Peter scales along with my write-up. I shall be grateful if you kindly give your remarks, opinion etc. on : 1) My new theorem (proposed) 2) Certain constraints and its possible solutions... more »
|
|
|
3D triangle's (U, V) to (X, Y, Z)
|
| |
Hello Could you please help me with the following? Basically, I need to find the coordinates in space (X, Y, Z) of any POINT belonging to a 3D triangle, given that POINTS's two dimensional (U, V) coords. The UV pair is always between (0, 0) and (1, 1), however the answer should not rely on this assumption.... more »
|
|
|
Big circles on S^3
|
| |
*Let S^k be the unit sphere (of dimension k) in \R^{k+1}. *We say that a sphere is big it its radius is 1. Each 4-subset of the points {x_1,x_2,x_3,x_4,x_5} on S^3 determines a sphere of dimension 2 given by the intersection of S^3 with the hyperplane spanned by the four points. There are five such spheres,... more »
|
|
|
Method to find radius of incircle in right angled triangle
|
| |
Hi All, I had found a method to find radius of incircle in right angled triangle and its relevant formulae. I had also written some thesis on it when I was in 2nd year of Engineering. I'm currently working as a software engineer and would like to continue this as my hobby. Could one of you please help me in proceeding further. I wanted to know if I can meet any of the math scientists.... more »
|
|
|
