CTK Insights» Simple math

Existence of the Incenter: a Second Look

admin — Wed, 01 Feb 2012 17:59:11 +0000

The three angle bisectors of a triangle meet at incenter of the triangle. Reversing the problem we may ask a relevant question: Given three concurrent lines: α, β, and γ. Is there always a triangle with the three lines as the angle bisectors. If so, construct the triangle. Solution Given three concurrent lines: α, β, [...]

Existence of the Incenter: a Second Look is a post from: CTK Insights

Medians in a Triangle Meet at the Center: a Second Look

admin — Wed, 01 Feb 2012 17:39:58 +0000

The medians of a triangle meet at a point known at the center of the triangle. Reversing the problem we may ask a relevant question: Given three concurrent lines: α, β, and γ. Is there always a triangle with the three lines as the medians. If so, construct the triangle. Solution Given three concurrent lines: [...]

Medians in a Triangle Meet at the Center: a Second Look is a post from: CTK Insights

Finding a Parallelogram in 3D

admin — Tue, 24 Jan 2012 15:47:12 +0000

Imagine a pyramid with no symmetries or regularities whatsoever. To construct a pyramid like that, pick a plane, four arbitrary points in the plane and one point outside. The lines (or rays) joining the latter to the four points in the plane serve as the edges of a slanted and likely irregular pyramid. However, the [...]

Finding a Parallelogram in 3D is a post from: CTK Insights