| Hugh Murray - 1832
...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
...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 - 496 pagina’s
...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... | |
| Robert Mudie - 1836 - 496 pagina’s
...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... | |
| Euclides - 1858
...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 - 361 pagina’s
...the square on AC ia double of the squares on AD and DE. 28. Produce one side of a scalene triangle, **so that the rectangle under it and the produced part...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... | |
| Robert Potts - 1868 - 410 pagina’s
...under it and 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...upon the side BC; then the square on AC together with** therectangle contained by BC, BD is equal to the square on AB together with the rectangle CB, CD. 32.... | |
| 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.... | |
| Euclides - 1874
...middle points, is equal to the sum of the squares on the other two sides and on the diagonals. 27. Prove **that the square on the hypotenuse of a right-angled...together with the square on the difference of the sides.** 28. In any triangle, if a line be drawn from the vertex bisecting the base, the sum of the squares... | |
| Euclides - 1874
...rectangle contained by either of the equal sides, and the projection of the base upon that side. 18. **The square on the hypotenuse of a right-angled triangle...together with the square on the difference of the** two sides. 19. Produce a given straight line, so that the square on the whole line thus produced shall... | |
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