 | Joseph J. Reed - 1862 - 196 pages
...He discovered that every triangle inscribed in a semicircle is right-angled, and that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares Of the other two sides. He travelled in Asia and Egypt, whence it is supposed he derived... | |
 | Benjamin Greenleaf - 1862 - 518 pages
...— THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled 'triangle, having the right angle at A ; then the square described on the... | |
 | Adrien Marie Legendre - 1863 - 464 pages
...CBK PROPOSITKOT XL THEOREM. The square described on the hypothemcse 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 BCZ = AB2 + AC\ Construct the square BCr on the... | |
 | William Thomson - 1863 - 404 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
 | John Cumming - 1863 - 266 pages
...demonstrated, that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides. But this belief has no effect or plastic influence, it does not descend... | |
 | 1863 - 876 pages
...necessary to prove that the square described on the hypothenuse of a right angled triangle, is equivalent to the sum of the squares described on the other two sides, every time that he attempts to square a building. It is enough for him to know that this truth has... | |
 | William Thomson - 1863 - 354 pages
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
 | Benjamin Greenleaf - 1863 - 504 pages
...— THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A ; then the square described on the... | |
 | Evan Wilhelm Evans - 1862 - 116 pages
...trapezoid, etc. THEOREM XIX. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. H Let ABC be a triangle right-angled at B. It is to be proved that the square AEDC is equivalent to... | |
 | 1880 - 1038 pages
...and unmathematically simple. Euclid, who I am sure must have studied photography deeply, proved that the square described on the hypothenuse of a right-angled triangle is equal to the sum of those described on the other two sides, and on this simple but valuable fact is based the whole of... | |
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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. 
