WOLFRAM|DEMONSTRATIONS PROJECT

A Geometrical Theorem of Leibniz

​
2
PR
+
2
PS
+
2
PT
≈363.41
1
3
(
2
RS
+
2
ST
+
2
TR
)+3
2
PC
≈363.41
Let P be a point in the plane of the triangle RST and C be the centroid of RST. Then
2
PR
+
2
PS
+
2
PT
=
1
3
(
2
RS
+
2
ST
+
2
TR
)+3
2
PC
.