| Fletcher Durell - Geometry - 1911 - 553 pages
...the above equality, ~AB2= ~AC2+ ~BG2+ 2 AC X CD. AX. 8. QED 351. COR. // the square on one side of a triangle equals the sum of the squares on the other two sides, the angle opposite the first side is a right angle; for it cannot be acute (Art. 349), or obtuse (Art.... | |
| Fletcher Durell - 1911 - 234 pages
...polygons are as the squares of their homologous sides, and that the square on the hypotenuse of a right triangle equals the sum of the squares on the other...divide a given line in mean and extreme ratio, To Eudnxiis (380 BC) we owe the general theory of proportion in geometry, and the treatment of incommensurable... | |
| J. L. Heilbron - History - 2000 - 344 pages
...of Pythagoras. Stated in the Chinese manner. it reads that the square of the diagonal of a rectangle equals the sum of the squares on the other two sides. The approach is characteristic: in contrast to Euclid's. it begins numerically. with the special case of... | |
| Ajit Kalra, James Stamell - Juvenile Nonfiction - 2005 - 592 pages
...The converse of Pythagoras' theorem is equally important. It states: If the square on one side of a triangle equals the sum of the squares on the other two sides, the angle between these two other sides is a right angle. We can prove this converse using congruent triangles.... | |
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