 | 1832 - 486 σελίδες
...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 - 1832 - 392 σελίδες
...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 - 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... | |
 | 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... | |
 | Euclides - 1858 - 248 σελίδες
...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
...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 σελίδες
...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 σελίδες
...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 - 1865 - 528 σελίδες
...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,...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...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... | |
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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. 
