In the figure below, equilateral
triangles ABC1, BCA1, and ACB1
are constructed externally on the sides of a triangle ABC. Prove
that the centers A2, B2, and C2,
of those equilateral triangles form an equilateral triangle,
called the outer Napoleon triangle.
246. Napoleon's Theorem I.
External Equilateral triangles. Outer
Apollonius for iPad: Napoleon's Theorem
I drew the geometric construction above using Apollonius for iPad.
Apollonius is an interactive geometry app (IGS, or Dynamic Geometry
Environment, DGE). It allows you to create geometric constructions, such as those that can be made using a ruler and a compass, and subsequently move parts of your constructions to explore the relationship between the geometric objects on the screen.
Apollonius is inspired by software such as GeoGebra, The Geometer's Sketchpad and Cabri,
but its interface is especially designed for touch screen.
Download on the App Store:
Apollonius for iPad - Adolfo Rodriguez.
iPad Apps |
| Apollonius |
Napoleon | Problems
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