 | Civil service - 366 pages
...likewise the two interior angles upon the same side together equal to two right angles. PKOP. XL VIII. — If the square described upon one of the sides of a...angle contained by these two sides is a right angle. Any line drawn through the bisection of the diagonal of a parallelogram to meet the sides is bisected... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...upon the sides AB, AC. Therefore, in any right-angled triangle, &o. CI.ED PROPOSITION XLVHI. THEOREM. If the square described upon one of the sides of a...equal to the squares described upon the other two tide3 of it ; the angle contained by these two tides is a right angle. Let the square described upon... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...V? ' 3-V7. 9. Extract the square root of (1) 154- 157056, (2) 13 to four decimal places. Euclid. 1. If the square described upon one of the sides of a...angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...the coefficient of ** in the expansion of ( I + 3# + 4z*) 9. If the square described upon one side of a triangle be equal to the squares described upon...the other two sides of it, the angle contained by those sides is a right angle. Given two straight lines, construct the rhombus of which they are the... | |
 | 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
...BA, AC. Conclusion. — Therefore, in any right-angled triangle, &c. QED PROPOSITION 48.— THEOREM. If the square described upon one of the sides of a...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 level of 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.... | |
 | 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... | |
 | 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... | |
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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. 
