The circles of a triangle

A movable triangle and some associated circles, showing

- The perpindicular bisector of each edge (blue). Cuts each edge in two.
- The angle bisector of each angle (purple). Cuts each angle in two.
- The excircles (dashed blue). The smallest circle which contains the triangle.
- The incircle (dashed purple). The largest circle contained inside the triangle.
- The Centroid (green). Intersection of lines joining center to midpoint of opposite edges. (off by default)
- The Orthocenter (cyan). Intersection of altitudes, lines perpendicular to each edge through the vertices. (off by default)

Drag the points A, B and C about to see the how things change.

Draw:

A few points to note. The three perpindicular bisectors intersect at the center of the excircles. The three angle bisectors intersect at the center of the incircle. Each perpindicular bisectors intersects with and anglebisector at a point on the excircle. Equlatrial and isosceles triangles have other notable properties.

If you want to play with the code you can clone the fiddle page.

**Arcot Somashekar**
Sun May 26 2019

Hello Richard This is a very useful site to teach Linkages and Mechanisms at university. It would be good if: (1) We can slow down/adjust the speed of rotation. (2) Change direction of rotation (to anti-clockwise, which is positive direction). Thank you Arcot Somashekar

**Cem Kurt**
Tue Apr 13 2021

Dear Mr. Morris, Thank you for this extremely useful and easy-to-use simulation. If I may, my suggestions would be the additions of (1)direction changing of rotation and (2)angular limiting of rotation options. Kind regards, Cem Kurt.

**Dr. César Guerra Torres**
Fri Feb 24 2023

You work is been important in my teach of mechanisms in my university