 | Euclid - 1826 - 234 pages
...applicable in every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained by these two remaining... | |
 | Euclides - 1826 - 226 pages
...applicable in every branch of the mathematics. PROPOSITION XLVIII. THEOREM. If the square which is described upon one of the sides of a triangle be equal to the squares which are described on the other two sides, then shall the angle which is contained .:.:. • ty these... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...BA, AC. Therefore, in any right angled triangle, &.<:-f PROP. XLVIII. THEOR. If the square deseribed upon one of the sides of a triangle, be equal to the squares deseribed upon the other two sides of it ; the angle eontained by these two sides is a right angle.... | |
 | George Lees - 1826 - 276 pages
...is equivalent to the two squares AG and BI. Therefore, in any right-angled triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent to the sum of the squares described upon the other two sides, the angle contained by these... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...squares upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...+ ad inf. 1. The three interior angles of every triangle are together equaj to two right angles. 8. If the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it ; the angle contained by these two sides... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...squares upon the sides BA, AC. Therefore, in any right angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | John Martin Frederick Wright - Astronomy - 1833 - 332 pages
...described upon one of the sides of a triangle he equal to the sum of the squares described upon the otjier two sides of it ; the angle contained by these two sides is a right angle. . • / 9. One circumference of a circle cannot out another in more than two points. 10. The angles... | |
 | Euclides - 1834 - 518 pages
...BA, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. EUCLID'S ELEMENTS. Iwo sides of it, the angle contained by these two sides is a right angle. Let the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon... | |
 | Euclid - 1835 - 540 pages
...squares upon the sides BA, AC. Therefore, " in any right angled triangle," &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. f*. l. g 41. 1. h 6. Ax. If the square described upon BC, one of the sides of the Book I. triangle... | |
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If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it; the angle contained by these two sides is a right angle. 
