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Every triangle hides an equilateral triangle, even when the original triangle is completely irregular. Take any triangle. Divide each of its three angles into three equal parts. Now consider the intersections of the adjacent internal angle trisectors. The three intersection points always form an equilateral triangle. No condition is... show more
15,259 次观看 • 8 天前 •via X (Twitter)
9 条评论

Razvan Caraghin7 天前
A sign there's a deeper connection there to other math fields and physics 😎

Raúl Blanco8 天前
Esa no me la sabía Gracias

Darryl T8 天前
Shame there’s no geometric process to trisect an angle like there is to bisect an angle.

Annette Schaper-Herget8 天前
Would you please provide a link to the proof? Thanks

ilario della noce8 天前
And the biggest (inside) is built in an equilateral triangle, (assuming constant area ?).

sofie n ✿7 天前
triangle said ok but the trisectors were not consulted

我不会说中文 🆗7 天前
It doesn't seem that special because you start by dividing the angles in to 3 equal parts. Equality in, equality out.

mathingsense7 天前
.

TheGradient7 天前
사영기하학적 및 아핀 변환의 관점 평면 위에 놓인 임의의 비대칭 삼각형이 있을 때, 3차원 공간에서 이를 적절한 각도로 기울이거나 평행 투영(Parallel Projection)을 수행하면 항상 정삼각형으로 투영할 수 있다. 정삼각형은 안에 하나, 밖에 하나 있다.
