 | Euclides - Geometry - 1841 - 378 pages
...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 triangle, be...the other two 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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...third sides will 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...the other two sides of it ; the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
 | Education - 1844 - 688 pages
...side together 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...the other 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... | |
 | Euclides - 1845 - 546 pages
...AB, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be...the other two 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...BA, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOR. — If the square described upon one of the sides of a triangle, be...the other two sides of it ; the angle contained by these two sides is a right angle. If the square described upon BC, one of the sides of the triangle... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...square of DF ; and, therefore, AC is manifestly 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... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into any two parts, the squares... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...third sides will 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...the other two sides of it ; the angle contained by these two sides is a right angle. If the square described upon BC.one of the sides of the triangle... | |
 | Euclides - 1846 - 292 pages
...sides BA, AC. Wherefore, In any right- angled triangle S,c. QED PROP. XLVIII. THEOR. If the square described upon one of the sides of a triangle be equal...the other two 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Prop. 39, if FD, GH, KE, be joined, the triangles FED, GAH, KCE, are each equal to the triangle ABC. squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 28. One side of a right-angled triangle is 543, and the other side... | |
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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. 
