 | Thomas Morell - 1827 - 614 strani
...important discoveries. His name is rendered immortal among geometricians, by his well-known discovery, " that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides;" a discovery which is said to have occasioned such an... | |
 | Hugh Murray - 1832 - 392 strani
...deserving of attention. We have here the celebrated proposition, that the square on the hypotenuse of a rightangled triangle is equal to the squares on...other propositions which form part of the system of modem geometry. There is one proposition remarkable, namely, that which discovers the area of a triangle... | |
 | John Forbes Royle - 1837 - 230 strani
...treatises on geometry are pronounced to be inferior in excellence to those on algebra ; but they contain the celebrated proposition, that the square on the...squares on the sides containing the right angle ; and others which form part of the system of modern geometry. Among these, that which discovers the area... | |
 | Hugh Murray, John Crawfurd, Peter Gordon - 1843 - 472 strani
...mensuration. The celebrated proposition, that the square on the side opposite to the right angle of a right-angled triangle, is equal to the squares on the sides containing that angle, was familiar to them ten centuries before it was known to the Greeks. Yet this important... | |
 | Homersham Cox - 1852 - 156 strani
...appears from the following passage in Dr. Button.s Mathematical Dictionary. In reference to the theorem that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides, it is remarked, that " Plutarch even doubts whether such a sacrifice... | |
 | James Mill - 1858 - 516 strani
...combinations, permutations, sums of progression, indeterminate problems, and mensuration of burfaces and solids. The rules are found to be exact, and nearly...equal to the squares on the sides containing the right anule, and other propositions, which form part of the system of modern geometry. There is one proposition... | |
 | 1858 - 878 strani
...demonstration. Take an illustration. Euclid came to the conclusion in his own mind — no matter how — that the square on the hypothenuse of a right-angled triangle is equal to the squares on the two sides. To convince others of this truth, he pursues an argument from the beginning, step by step... | |
 | Arundell Blount Whatton - 1859 - 246 strani
...ecstacy. When Pythagoras had fairly demonstrated the great geometrical truth, that the square described on the hypothenuse of a right-angled triangle is equal to the squares constructed upon the other two sides, such was his exultation that he forthwith sacrificed a hundred... | |
 | Benjamin John Wallace, Albert Barnes - 1860 - 720 strani
...xocrtw; ; and he is 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,... | |
 | REV. CHARLES BULLOCK - 1866 - 724 strani
...geometry, written as early as the year 1150 AD, contains the celebrated proposition that the square of the hypothenuse of a right-angled triangle is equal to the squares on the sides containing the triangle. As a striking example üf tl-. absurd superstitious which may possess a strictly mathematical... | |
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In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle. 
