How Many Theorems In Geometry Which Have

Those Who Claim To Discover Everything But Produce No Proofs Of The Same May Be Confuted As Having Actually Pretended To Discover The Impossible.

There Are Things Which Seem Incredible To Most Men Who Have Not Studied Mathematics.

It Follows At Once From The Last Proposition That The Centre Of Gravity Of Any Triangle Is At The Intersection Of The Lines Drawn From Any Two Angles To The Middle Points Of The Opposite Sides Respectively.

Having Been The Discoverer Of Many Splendid Things, He Is Said To Have Asked His Friends And Relations That, After His Death, They Should Place On His Tomb A Cylinder Enclosing A Sphere, Writing On It The Proportion Of The Containing Solid To That Which Is Contained.

The Centre Of Gravity Of Any Parallelogram Lies On The Straight Line Joining The Middle Points Of Opposite Sides.