 | 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... | |
 | James Bates Thomson - Arithmetic - 1860 - 440 pages
...16. 43681. 47089. 22. 23. 3.172181. 10342656. 29. 30. 207*?. 34967 A371 578. The square described on the hypothenu.se of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre, B. IV. 11, Euc. I. 47.) The Irii/h... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...this proposition is known as the Pythagorean: the square described upon the hypothenuse is equivalent to the sum of the squares described on the other two sides. As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
 | John Cumming - 1861 - 540 pages
...first book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal to the sum of the squares described on the other two sides — I remember I could prove that step by step ; but I have been so much out of the way of mathematics... | |
 | Charles Davies - Arithmetic - 1861 - 496 pages
...angles to each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal to the sum of the squares described on the other two sides. Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 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 hypothenuse... | |
 | 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... | |
 | Benjamin Greenleaf - Geometry - 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... | |
 | 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... | |
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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. 
