| Hugh Murray - 1832 - 392 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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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