 | James Mill - 1840 - 556 頁
...notation are placed in a striking light. In geometry, though inferior in excellence to the algebra, there is much deserving of attention. We have here the celebrated proposition that the square on the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the right angle,... | |
 | Euclides - 1858 - 248 頁
...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 頁
...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 - 448 頁
...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 - 262 頁
...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 頁
...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 頁
...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... | |
 | Lewis Sergeant - 1873 - 182 頁
...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. CONSTRUCTION. — Draw the... | |
 | Euclides - 1874 - 342 頁
...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 triangle is equal to four times the area of the triangle together with the square on the difference of the sides. 28. In... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 頁
...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 is equal to four times the area of the triangle, together with the square on the difference of the two sides. 19.... | |
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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. 
