 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...remaining square ofI)F. and therefore AC is less than DF. PROP. XLVIII. THEOR. IF the square described upon one of the sides of a triangle be equal to the squares described upon the other two sides, the angle contained by those two sides is a right angle. If the square described upon BC, one of the... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other tioo sides ofit; the angle contained by these two sides is a right angle. If the square described upon... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...figure unnecessarily complicated. PROPOSITION XLVIII. Theorem. If the square described on one side of a triangle be equal to the squares described upon the other two ; the angle contained by these two sides is a right angle. T> Steps of the Demonstration. 1. Prove... | |
 | Euclides - 1838 - 264 pages
...triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a trinngle, be equal to the squares described upon the other two...the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon the other sides BA, AC: the angle BAC shall be a right... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...AC. Therefore, in any right angled triangle, &c. QED PROP. XLVni. THEOR. IF the square described upon one of 'the sides of a triangle be equal to the squares...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... | |
 | Euclides - Geometry - 1841 - 378 pages
...Therefore, in any right-angled triangle, &c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares...the square described upon BC, one of the sides of the triangle ABC, he equal to the squares upon the other sides BA, AC: the angle BAC shall be a right... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...also be equal, and the triangles will be identical. PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle, be equal to the squares...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... | |
 | Euclides - 1842 - 316 pages
...described upon one of the sides of a triangle, be equivalent to the squares described upon the two other sides of it: the angle contained by these two sides is a right angle. If the square described upon в c, one of the sides of the triangle ABC, be equivalent to the squares... | |
 | Education - 1844 - 688 pages
...equal to two right angles, the two straight lines shall be parallel. 5. If the square described upon one of the sides of a triangle be equal to the squares...two sides of it, the angle contained by these two is a right angle. 6. If a straight line be divided into any two parts, the rectangle contained by the... | |
 | Euclides - 1845 - 546 pages
...Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares...the square described upon BC, one of the sides of the triangle ABC, be equal to the squares upon the other two sides AB, AC. Then the angle BAC shall... | |
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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. 
