| Euclides - 1858
...a series of which, did he know the previous propositions, he might be convinced that the square of **the hypotenuse of a right-angled triangle, is equal to the sum of** the squares of the sides." — On the Studies and Difficulties of Mathematics, p. 76. SECTION V. THE... | |
| David Price - 1858 - 252 pagine
...of the base by the perpendicular, and divide the product by 2 for the area. NOTK.— The square of **the hypotenuse of a right-angled triangle, is equal to the sum of** the squares of the other two sides. EXAMPLES. 22. Find the area of a triangle whose base is 10 feet,... | |
| Horatio Nelson Robinson - 1859 - 336 pagine
...by the use of the two following principles, which are demonstrated in geometry. 1st. The square of **the hypotenuse of a right-angled triangle is equal to the sum of** the squares of the other two sides. 2d. The areas of two circles are to each other as the squares of... | |
| Chambers W. and R., ltd - 1859
...another 3 feet, then — the first circle : the second : : 2* : 3r, or as 4 : 9. II. 'ТнЕ SQUARE OP **THE HYPOTENUSE of a right-angled triangle is equal to the sum of** the squares of the base and perpendicular.' In the annexed diagram, AC is the hypotenuse, AB the base,... | |
| John M. Gregory - 1859 - 448 pagine
...the truth,of what is popularly known as the Carpenter's Theorem, to wit: The square described upon **the hypotenuse of a right-angled triangle is equal to the sum of** the squares described upon thel other two sides. Although not a demonstration, it will carry with it... | |
| Horatio Nelson Robinson - 1860 - 432 pagine
...triangle, and one on DF, -which is equal to the perpendicular of the triangle. Hence, The square of **the hypotenuse of a right-angled triangle is equal to the sum of** flie. squares of the other two sides. From this property we derive the following RULE. I. To find the... | |
| Emerson Elbridge White - 1861 - 332 pagine
...called the base and perpendicular. Perpendicular. Base. It is an established theorem that the square of **the hypotenuse of a right-angled triangle is equal to the sum of** the squares of the other two sides. The annexed figure illustrates this theorem and the following rules.... | |
| Isaac Todhunter - 1864 - 279 pagine
...preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on **the hypotenuse of a right-angled triangle is equal to the sum of** the squares described on the sides ; and it is known that the geometrical square described upon any... | |
| Isaac Todhunter - 1866 - 192 pagine
...demonstration it should be remarked that it is shewn in Euclid i. 47, that the square described on **the hypotenuse of a right-angled triangle is equal to the sum of** the squares described on the sides; and it is known that the geometrical square described on any straight... | |
| 1866
...Emmaretta Williams, who demonstrated the beautiful I'ythagor'ean 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." Miss Lizzie Trull and Mr, Allison also deserve especial... | |
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