 | Euclid - Geometry - 1845 - 218 pages
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 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... | |
 | 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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | Euclides - 1846 - 292 pages
...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 to the squares...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 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... | |
 | 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... | |
 | Euclides - 1847 - 128 pages
...the squares upon A and B. — QEF PROP. XLVIII. THEOR. GEN. ENUN. — 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. PART. ENUN. — Let the square upon BC, one of the sides of the A ABC = the square upon the other two... | |
 | Education - 1847 - 508 pages
...between the same parallels. 3. If the square described upon one side 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 is a light angle. SECTION Il. — 1. To divide a straight line, so that the rectangle contained by the whole... | |
 | J. Goodall, W. Hammond - 1848 - 390 pages
...have one of its angles equal to a given rectilineal angle. 3. Prove that 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. Section 3. 1. Prove that if a straight line be divided into any two parts, the rectangle contained... | |
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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. 
