 | Elias Loomis - 1877 - 458 páginas
...most celebrated schools of antiquity. He is said to have discovered that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares on the two legs. He discovered that the circle has a greater area than any other plane figure... | |
 | Thomas Hunter - 1878 - 142 páginas
...the other two ; for the three figures are to each other as the squares of their homologous sides. But the square of the hypothenuse is equal to the sum of the squares of the other two sides. Hence the similar figure described on the hypothenuse is equal to the... | |
 | Samuel Pedley - 1879 - 402 páginas
...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line... | |
 | Charles Edwin Röbert - 1880 - 186 páginas
...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact that "the square of the hypothenuse is equal to the sum of the squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and... | |
 | 1885 - 696 páginas
...propositions, which are apparently quite unrelated to it. Thus the famous property of a right-angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, may be readily deduced from certain general properties of triangles... | |
 | Francis Campin - 1881 - 308 páginas
...members through which they pass in coming on to it. From a property of the right-angled triangle, viz. that the square of the hypothenuse is equal to the sum of the squares of the sides enclosing the right angle, an expression is found which will give the thrust at... | |
 | Alexis Claude Clairaut - 1881 - 184 páginas
...hypothenuse of the right-angled triangle, we readily discover that famous property of right-angled triangles that the square of the hypothenuse is equal to the sum of the squares on the two other sides. 19. If, then, of two squares, HDLK and AB c D, we desired to make one... | |
 | Francis Campin - 1881 - 340 páginas
...members through which they pass in coining on to it. From a property of the right-angled triangle, viz. that the square of the hypothenuse is equal to the sum of the squares of the sides enclosing the right angle, an expression is found which will give the thrust at... | |
 | Charles Scott Venable - 1881 - 380 páginas
...the other two : for the three figures are proportional to the squares of their homologous sides ; but the square of the hypothenuse is equal to the sum of the squares of the other two sides ; therefore, etc. * PROPOSITION XXX. THEOREM. The segments of two chords,... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
