Channel: Think Twice

Category: Education

Tags: think twicemathematicsmathslineeuclidean geometrycompass straghtedgeeuclidexplainedcalculusmobiustrianglehowcoding2d geometryeducational videooptimizationconstructionprooftutorialcinema4dkleinthinkeducationalfermat pointequilateral trianglesgeometric constructionsmotion graphicsanimation4dtwicethink twice animationstorricellinon euclidean geometryprocessingpigeometrymathfermat

Description: Learn more theorems in Euclidean geometry and their applications at: brilliant.org/ThinkTwice ----------------------------------------------------------------------------------------------------------- Please consider supporting Think Twice on: ► Patreon: patreon.com/Think_twice ► Twitter: twitter.com/thinktwice2580 (@thinktwice2580) ► Instagram: instagram.com/thinktwice_ltu (@thinktwice_ltu) ----------------------------------------------------------------------------------------------------------- Summary: The Fermat point of a triangle ABC is a point P such that the sum of distances PA+PB+PC is a minimum. To find the Fermat point of a triangle ABC: 1. Construct equilateral triangles on each side of ABC 2. Connect vertices A,B and C to the opposite and outermost vertex of equilateral triangle. 3. The point at which the three lines intersect is a Fermat point of triangle ABC. In the case where one of the angles of triangle ABC is greater than 120 degrees the Fermat point will be located at the obtuse-angled vertex of ABC. ----------------------------------------------------------------------------------------------------------- Contact me: ► thinktwiceask@gmail.com ----------------------------------------------------------------------------------------------------------- Music by: ► Lee: youtube.com/watch?v=Epi2rsr04Os