 | Hugh Murray - 1832 - 392 σελίδες
...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 σελίδες
...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 - 524 σελίδες
...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 - 542 σελίδες
...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 - 248 σελίδες
...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 σελίδες
...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 - 1865 - 528 σελίδες
...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...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 - 182 σελίδες
...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 - 342 σελίδες
...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... | |
| |
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. 
