Question

If $a_1,a_2,a_3,...,a_n$ are the side lengths of $A_1A_2A_3...A_n$ convex polygon,then$\frac{a^2_1+a^2_2+a^2_3+....+a^2_{n-1}}{a^2_n}$ is

score 89 · Answer 1 · 2015-08-16 11:58:35

If $a_1,a_2,a_3,...,a_n$ are the side lengths of $A_1A_2A_3...A_n$ convex polygon,then$\frac{a^2_1+a^2_2+a^2_3+....+a^2_{n-1}}{a^2_n}$ is

score 1.5k · Answer 2 · 2015-08-18 08:47:39

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List Question

If $a_1,a_2,a_3,...,a_n$ are the side lengths of $A_1A_2A_3...A_n$ convex polygon,then$\frac{a^2_1+a^2_2+a^2_3+....+a^2_{n-1}}{a^2_n}$ is

$\cos \alpha+\cos(\alpha+\beta)+\cos(\alpha+2\beta)+.....+\cos(\alpha+(n-1)\beta)=0 $

Sum of the vectors from one vertex of a regular polygon to each remaining vertex

Cartesian coordinates for vertices of a regular polygon?

Fastest method to draw constructible regular polygons

Polygons with a Unique Triangulation

Proof of Jordan Curve Theorem for Polygons

All polygons satisfy the "normal" property.

Describing the symmetries of a $2n$-gon in $\Bbb R^2$ with matrices.

What does a circle with a dot in it represent?

Relationships between Schläfli symbol and geometrical properties of regular concave (star) polygons

Theorem references

How many triangles can be formed by the vertices of a regular polygon of $n$ sides?

Overlapping area between a circle and a square

Given angles/sides, is there a necessary and sufficient condition on whether polygon exists?

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