 | Hugh Murray - 1832 - 392 sider
...the treatise on algebra, yet well deserving of attention. We have here the celebrated proposition, that the square on the hypotenuse of a rightangled triangle is equal to the squares on the sides containing the right angle ; and other propositions which form part of the... | |
 | 1832 - 486 sider
...the treatise on algebra, yet well deserving of attention. We have here the celebrated proposition, that the square on the hypotenuse of a right-angled triangle is equal to the squares on the sides containing the right angle ; and other propositions which form part of the... | |
 | Robert Mudie - 1836 - 542 sider
...between the sides AB and B c, and whatever thenlengths are, the square of the hypotenuse is always equal to four times the area of the triangle, together with the square of the difference of the two sides which contain the right angle. These, however, are not exactly the... | |
 | Robert Mudie - 1836 - 524 sider
...between the sides AB and B c, and whatever their lengths are, the square of the hypotenuse is always equal to four times the area of the triangle, together with the square of the difference of the two sides which contain the right angle. These, however, are not exactly the... | |
 | Euclides - 1858 - 248 sider
...base and of the same altitude as a triangle, is double of the triangle : and Prop. 47 demonstrating that the square on the hypotenuse *of a right-angled triangle, is equal to the sum of the squares on the base and perpendicular. The second book treats of the properties of RIGHT-ANGLED... | |
 | Robert Potts - 1860 - 380 sider
...Given the base of any triangle, the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of...together with the square on the difference of the sides. • l 31. In the triangle ABC, if AD be the perpendicular let fall upon the side BC; then the square... | |
 | Euclides - 1864 - 262 sider
...Given the base of any triangle, the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of...upon the side BC; then the square on AC together with the rectangle contained by BC, BD is equal to the square on AB together with the rectangle CB, CD.... | |
 | Euclides - 1864 - 448 sider
...Given the base of any triangle, the area, and the line bisecting the base, construct the triangle. IV. 30. Shew that the square on the hypotenuse of...upon the side BC; then the square on AC together with the rectangle contained by BC, BD is equal to the square on AB together with the rectangle CB, CD.... | |
 | Robert Potts - 1865 - 528 sider
...AE, by AF and BF are together less than the sum of the squares on the sides of the triangle. iv. 35. Shew that the square on the hypotenuse of a right-angled...together with the square on the difference of the sides. 36. In the triangle ABC, if AD bo the perpendicular let fall upon the side BC; then the square on AC... | |
 | Lewis Sergeant - 1873 - 182 sider
...one angle of a parallelogram is a right angle, so is each of the others. Proposition 47. — Theorem. The square on the hypotenuse of a right-angled triangle is equal to the squares on the sides. If C is the right angle in ABC, the square on AB = the squares on AC, CB.... | |
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Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 
