 | 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... | |
 | 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, is equal to four times the area of the triangle together with the square on the difference of the sides. • l 31. In the triangle... | |
 | Euclides - 1860 - 142 σελίδες
...AD • AE ; and hence AE is the line required. Three times the sum of the squares on the sides of a triangle, is equal to four times the sum of the squares on the three lines drawn from the angles to the middle of the opposite sides. Let ABC be a triangle, and AD,... | |
 | 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, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | 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, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | 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, is equal to four times the area of the triangle together with the square on the difference of the sides. 36. In the triangle ABC,... | |
 | 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, is equal to four times the area of the triangle together with the square on the difference of the sides. 31. In the triangle ABC,... | |
 | 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.... | |
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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. 
