 | 1832 - 486 pages
...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... | |
 | Hugh Murray - India - 1832 - 392 pages
...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... | |
 | Charles Anthon - Greek literature - 1853 - 608 pages
...certain, however, that he believed in the transmigration of souls.1 He is also said to have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides." Discoveries... | |
 | Charles Anthon - Greek literature - 1853 - 610 pages
...certain, however, that he believed in the transmigration of souls.1 He is also said to have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries... | |
 | Euclides - 1858 - 248 pages
...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 - Geometry, Plane - 1860 - 380 pages
...base of 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... | |
 | Euclides - 1864 - 262 pages
...base of 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... | |
 | Euclides - 1864 - 448 pages
...base of 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... | |
 | Robert Potts - 1865 - 528 pages
...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 triangle, is equal to four times the area of the triangle together with the square on the difference of the sides. 36. In... | |
 | Robert Potts - 1868 - 434 pages
...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 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... | |
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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. 
