| 1832 - 486 pages
...followed by a treatise on geometry, inferior in excellence certainly to the treatise on algebra, yet well deserving of attention. We have here the celebrated...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... | |
| Hugh Murray - 1832 - 392 pages
...followed by a treatise on geometry, inferior in excellence certainly to the treatise on algebra, yet well deserving of attention. We have here the celebrated...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... | |
| James Mill - 1840 - 556 pages
...notation are placed in a striking light. In geometry, though inferior in excellence to the algebra, there is much deserving of attention. We have here the celebrated proposition that the square on the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the right angle,... | |
| Euclides - 1858 - 248 pages
...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 pages
...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 a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. • l... | |
| Euclides - 1864 - 448 pages
...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 a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In... | |
| Euclides - 1864 - 262 pages
...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 a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In... | |
| Robert Potts - 1865 - 528 pages
...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 triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 36. In... | |
| Robert Potts - 1868 - 434 pages
...the produced part may be equal to the difference of the squares on the other two sides. IV. 30. Shew that the square on the hypotenuse of a right-angled triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In... | |
| Lewis Sergeant - 1873 - 182 pages
...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.... | |
| |