| Lucius Edwin Smith, Henry Griggs Weston - Baptists - 1872 - 524 pages
...evidence. Belief is a natural growth, induced by evidence. It is stated that the square described upon the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the 1 Titus iii. 5. other two sides. The young mathematician cannot, from... | |
| Robert Kalley Miller - Astronomy - 1873 - 208 pages
...must have discovered the leading principles of geometry, and would doubtless be aware that the square on the hypothenuse of a right-angled 'triangle is equal to the sum of the squares on its sides. He therefore suggested that a huge figure of the forty-seventh proposition... | |
| 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... | |
| 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... | |
| 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... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...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... | |
| Adrien Marie Legendre - Geometry - 1874 - 500 pages
...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... | |
| John Leyland (of the Grange, Hindley.) - 1874 - 492 pages
...mathematics. How Pythagoras could fall into such extravagant ecstasy on simply discovering that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides, is to me incomprehensible. have learned to honour, and perhaps taken into... | |
| Daniel W. Fish - Arithmetic - 1874 - 298 pages
...relating to right-a,igled triangles have been established by Geometry : PRINCIPLES. — 1. Tfie square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2. The square of the lose, or of the perpendicular, of a right-angled... | |
| Joseph Dame Weeks - 1874 - 312 pages
...circle is right-angled, and also the celebrated forty-seventh problem of Euclid, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. Discoveries in astronomy are also ascribed to Pythagoras. There... | |
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