 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 a hecatomb when he made out its proof ?  The Popular Science Monthly - Página 2361876Vista completa - Acerca de este libro
 | John Dougall - 1810 - 554 páginas
...follows, that the square ACDE, is equ; 1 to the sum or the two squares AFGB and BHIC : or, in other words, that the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the two sides containing the right angle. To illustrate this proposition... | |
 | 1816 - 600 páginas
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body... | |
 | John Gummere - 1814 - 398 páginas
...legs ; the square root of the sum will be the hypotheuuse.* Or by logarithms thus, * DEMONSTRATION. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides (47.1). Therefore the truth of the first part of each of the rules,... | |
 | Thomas Thomson - 1816 - 514 páginas
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides; so that we have only to form a rightangled triangle of a proper... | |
 | 1816 - 644 páginas
...of their destiny in that which is to come. Had all this been at stake in verifying the proposition, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, we somewhat question whether Pythagoras, or any body... | |
 | Thomas Thomson - 1816 - 518 páginas
...accomplished is a manifest corollary from the 47th proposition of Euclid's first book, which teaches us that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides ; so that we have only to form a rightangled triangle of a... | |
 | William Jerdan, William Ring Workman, Frederick Arnold, John Morley, Charles Wycliffe Goodwin - 1818 - 862 páginas
...nature of sines (here called signs by an error of the press) and tangents ; he demonstrated the problem that the square of the hypothenuse of a right-angled...triangle is equal to the squares of the other two sides, thus, " Having drawn a figure with a pair of compasses on paper, he cut out the three squares, folded... | |
 | 1828 - 524 páginas
...feet, and the space travelled over two, then, by the forty-seventh proposition first book of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 10 X 10 = 100, and and 2 x 2=4 4- 100= A/I 04= 10 feet^y; or 10 multiplied... | |
 | 1828 - 522 páginas
...feet, and the space travelled over two, then, by the forty-seventh proposition first hook of Euclid, the square of the hypothenuse of a right-angled triangle is equal to the squares of both the other sides : Hence 1O x 10 = lOo, and and 2 x 2 = 4+ 100=^/104=10 feet -J&; or 10 multiplied... | |
 | Thomas Dick - 1829 - 308 páginas
...almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right angles" — and, " that the sides... | |
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