 | War office - 1861 - 714 pages
...equal bases and between the same parallels are equal to one another. 2. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight... | |
 | Euclides - 1862 - 140 pages
...Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— THEOREM. 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. (References— Prop. I. 3, 8, 11, 47; ax. 1, 2.) Sequence. — The angle BAG shall be a right angle.... | |
 | Euclides - 1862 - 172 pages
...any right-angled triangle, &c. QED PROP. XLVIII.— THEOBEM. If the square described upon one of tlie sides of a triangle, be equal to the squares described upon the other two sides of it; then the angle contained by these two sides is a right angle. (References -Prop. i. 3, 8, 11, 47; ax.... | |
 | Euclides - 1863 - 74 pages
...the earth's curvature. PKOP. 48.— THKOH. — (Converse of the 4~th.) If the squares described upon one of the sides of a triangle be equal to the squares described upon the other two sides oj it ; the angle contained by the two sides is a rt. angle. Con.— P. 11, P. 3, Pst. 1.— DEM —Ax.... | |
 | Robert Potts - 1863 - 482 pages
...gestanden, .... to .... Dies iiihl'ich jetzt in mir zuriicke kommen. TIECK. VII. 1. If a square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. If the equilateral... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...are about the diameter of any parallelogram are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 6. If a straight... | |
 | Euclides - 1864 - 448 pages
...in any right-angled triangle, &c. QE a. PROPOSITION' XLVIII. THEOREM. If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two iides of it ; the angle contained bg thrie tiro sides is a right angle. Let the square described upon... | |
 | Euclides - 1864 - 262 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 described upon the other two tides of it; the angle contained by these two sides is a right angle. Let the square described upon... | |
 | Euclides - 1865 - 402 pages
...squares described upon the sides which contain the right angle. Prop. 48. 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 con tained i,y these two sides L, a right angle. GEOMETRICAL EXERCISES ON BOOK I. The following Exercises,... | |
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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. 
