 | David Masson - 1873 - 754 pages
...it have been impossible in consistency even with that belief ? It may be jure divino that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides, that he is a blockhead who believes otherwise, and that a permanent apparatus... | |
 | William Alexander Myers - Circle-squaring - 1873 - 238 pages
...called the hypothenuse ; thus the line EB is the hypothenuse of the triangle EDB. 3rd. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of both the other sides. 4th. The square of a number is the product of that number multiplied... | |
 | Education - 1873 - 662 pages
...area that the width is of the length, and extract the square root of the results. 36. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides ; for, if we draw a square just as long as the bypothenuse, and... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...(A. 2), hence, (AB + BC) (AB -BC) = AB* - BC* i f which was to be proved. c PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right-angled triangle, is equal to the sum of the squares described on the other two sides. , Let ABC be a triangle, right-angled at A : then will... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...similar to a given triangle and having its perimeter equal to a given straight line. 31. The semicircle described on the hypothenuse of a right-angled triangle is equal to the sum of the semicircles described upon the sides. 32. If a straight line be divided into any two parts, and... | |
 | Isaac W. Smith - Railroads - 1884 - 448 pages
...(f) Case 4. For the solution in this case, it is necessary to prove that the square of the length of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the lengths of the base and perpendicular. This is generally deduced from the proposition... | |
 | Industrial arts - 1885 - 598 pages
...example, let it be required to demonstrate, with the aid of Euclid I. 47, that the area of any rectangle described on the hypothenuse of a right-angled triangle is equal to the sum of two similar rectangles described on its sides. (See Fig. i .) bat three independent or arbitrary ones... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...Assuming the principle demonstrated in the last proposition, deduce from it the truth that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides. LX. THEOREM. — If from the middle of the ba.se of a right-angled... | |
 | New York (State) School for the deaf, White Plains - 1885 - 942 pages
...the distance from the ground to the window. Now, it has been proved by geometry that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Of course, if the hypothenuse and one of the sides are known, the... | |
 | 1885 - 696 pages
...every triangle is equal to two right angles. Demonstrate. 9. Demonstrate that the square described upon the hypothenuse of a right-angled triangle, is equal to the sum of the squares described upon the other two sides. 10. Demonstrate that an inscribed angle is measured... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
