| 1832
...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... | |
| Hugh Murray - India - 1832 - 394 pages
...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... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...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 - Mathematics - 1836 - 524 pages
...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
...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 - Geometry, Plane - 1860 - 361 pages
...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,...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... | |
| Euclides - 1864 - 448 pages
...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,...together with the square on the difference of the** sides. 31. In the triangle ABC, if AD be the perpendicular let fall upon the side BC; then the square... | |
| Euclides - 1864 - 262 pages
...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,...together with the square on the difference of the** sides. 31. In the triangle ABC, if AD be the perpendicular let fall upon the side BC; then the square... | |
| Robert Potts - 1868 - 410 pages
...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,...together with the square on the difference of the** sides. 31. In the triangle ABC, if AD be the perpendicular let fall upon the side BC; then the square... | |
| Lewis Sergeant - 1873
...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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