 | Isaac Todhunter - 1860 - 318 pages
...preceding proof it should be remarked that it is shewn in Euclid, I. 47, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the sides; and it is known that the geometrical square described upon any... | |
 | Benjamin John Wallace, Albert Barnes - Presbyterian Church - 1860 - 720 pages
...reputed to have been the author of the multiplication table, and to have discovered that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Numbers led him over into astro* Butler. nomy. And here, it would... | |
 | Joseph J. Reed - History, Ancient - 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... | |
 | Andrew Jackson Moulder - Educational psychology - 1862 - 32 pages
...compelling sequence of reasons, such as that by which we are forced to the conviction that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. In the former case, Jupiter is declared to be the King of the Gods... | |
 | John Cumming - Salvation - 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... | |
 | William Thomson - Logic - 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... | |
 | William Thomson - Logic - 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... | |
 | Photography - 1880 - 1038 pages
...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... | |
 | James Stewart Eaton - Arithmetic - 1864 - 322 pages
...the other two sides are the base and perpendicular. B Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Also the square of either of the two sides which form... | |
 | Francis Bowen - 1864 - 480 pages
...could be made in pure mathematics or any other abstract science. The naked fact, that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides, was observed and known long before Pythagoras first succeeded in... | |
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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. 
