 | William Whitehead Rupert - Geometry - 1900 - 148 pages
...c + d. Whence a + b + cjrd= 2 right angles. .-. B + A + C=2 right angles. CHAPTER II. THEOREM. 10. The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Pythagoras, who was born at Samos about 569 BC, was the first man... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...diagonals of parallelograms about a diagonal of a parallelogram are parallel. 6. The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the sides containing the right angle. Show how to find a square which is equal... | |
 | Burke Aaron Hinsdale - Attention - 1900 - 284 pages
...together. The particular lesson on this occasion was the Pythagorean theorem : the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, and it proceeded somewhat as follows: Teacher. What have... | |
 | Voltaire, Tobias Smollett - 1901 - 370 pages
...examines the relation between a cone and a sphere is not of the sect of Archimedes; and he who perceived that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is not in consequence a Pythagorean. When we say that the blood... | |
 | Ellwood Leitheiser Kemp - Education - 1901 - 402 pages
...laws of things. He accord- Pythagorean ingly laid great stress on mathematics. He Doctrine. discovered that the square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. He gave scientific form to geometry. The aim of his instruction... | |
 | Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...side ATI the Base, and the side EG the Perpendicular. 678. It is an established principle of Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and the perpendicular. 679. The diagram at the right illustrates the preceding... | |
 | Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...angle, as AB. The truth of the following principles has been established by geometry : PRINCIPLE I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the base and the perpendicular. PRINCIPLE II. The square of either side of a rightangled... | |
 | Walter William Rouse Ball - Mathematics - 1901 - 580 pages
...cases (namely when the ratio of the sides is 3 : 4 : 5 or 1:1: N/2) the area of the square described on the hypotenuse of a right.angled triangle is equal to the sum of the areas of the squares described on the sides. It is barely possible that a few geometrical theorems... | |
 | Herbert George Wells - Satire - 1901 - 382 pages
...equal sides be produced the angles on the other side of the base are equal also, or that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. By demonstrating our knowledge of these things we should demonstrate... | |
 | Thomas Smith (D.D.) - Euclid's Elements - 1902 - 244 pages
...angles of every triangle are, in their sum, equal to two right angles. (4) That the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on its two sides. These truths, which he demonstrated in his I. 5, 15, 32, 47,... | |
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Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. 
