 | Euclides - 1842 - 316 pages
...equal to one another ; and consequently the triangles are equal in every respect. PROP. XL VIII. THEOR. IF the square 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... | |
 | Education - 1844 - 688 pages
...angles on the same 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...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
...upon the sides AB, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION XLVIII. THEOREM. 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... | |
 | Euclid - Geometry - 1845 - 218 pages
...upon the sides BA, AC. Therefore, in any right-angled triangle, &c. QED PROPOSITION 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...the remaining 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...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...angle contained by these two sides is a right angle. 61. If a straight line be divided into any two parts, the squares of the whole line, and of one of... | |
 | Euclides - 1846 - 292 pages
...squares upon the 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...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, John Playfair - Euclid's Elements - 1846 - 334 pages
...other ; their 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...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...of a triangle bisect one of the other sides, it will also bisect the remaining side. EXERCISES. 113 squares described upon the other two sides of it;...angle contained by these two sides is a right angle. 28. One side of a right-angled triangle is 543, and the other side 367; find the hypothenuse by means... | |
 | 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 ;...angle contained by these two sides is a right angle. 28. One side of a right-angled triangle is 543, and the other side 367 ; find the hypothenuse by means... | |
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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. 
