### Theory NO. 4 : Determinant and similar triangles

06Feb09

Matrixes seem to have a lot of wonderful properties, for example they may help checking if given triangles represented each by three complex numbers (verticles) are simillar.

So, two triangles represented by complex numbers and are similar if, and only if:

Proof coming soon.

Filed under: Science, Theory | 2 Comments

Tags: complex, det, determinant, math, numbers, similar, triangles

It’s a test message

the proof is easy i guess.

Similarity of triangles arises from same scale transformation and/or a location transformation on the vertices. And in the matrix, [w1 w2 w3] is dependent on [z1 z2 z3] and [1 1 1] iff this happens. Hence proved !! … isn’t it ?