 | Isaac Watts - 1807 - 320 ページ
...ploughman that the three angles of a triangle are equal to two right angles, or that the square of a hypothenuse of a right angled triangle is equal to the sum of the, squares of the two sides ; the ploughman, who has but confused ideas of these things, may firmly... | |
 | Euclides - 1826 - 226 ページ
...discoveries; among the most eminent of these, at least in Geometry, which he made, may be mentioned, that the square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides (see note to the 47th proposition of the 1st book); he is also said... | |
 | Euclid - 1826 - 234 ページ
...discoveries ; among the most eminent of these, at least in Geometry, which he made, may be mentioned, that the square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides (see note to the 47th proposition of the 1st book) ; he is also... | |
 | Thomas Dick - 1833 - 576 ページ
...physical science. That " a whole is greater than any of its parts,'' — that " the square described <>n the hypothenuse of a right angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple... | |
 | Thomas Dick - 1836 - 488 ページ
...extraction of the Square Root; but no figure or explanation is given, excepting the following foot note. " The square of the hypothenuse of a right angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under. 44 Miles. 49 Miles. EDINBURGH.... | |
 | A. Turnbull - 1836 - 368 ページ
...angled triangle. A right angled triangle, is a triangle which has one of its angles a right angle. The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of the other two sides. Therefore to find the hypothenuse, square the other two sides,... | |
 | Sir Daniel Keyte Sandford - 1836 - 496 ページ
...very extensive, is evident from the ecstasy into which Pythagoras was thrown, when he discovered that the square of the hypothenuse of a right angled triangle is equal to the square of the two sides. For ignorance of this very elementary, but important proposition, necessarily... | |
 | Francis Jenks, James Walker, Francis William Pitt Greenwood, William Ware - 1839 - 420 ページ
...can belief be compelled or extorted ? Suppose an ignorant man to be assured by a geometrician 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 does not comprehend the meaning of the proposition. Should he... | |
 | Roswell Park - 1841 - 722 ページ
...right angles ; and Pythagoras, besides noticing the five regular solids, discovered that the square on the hypothenuse of a right angled triangle is equal to the sum of those on the two sides. Hippocrates of Chios, by the quadrature of his famous hmulae, was the first... | |
 | Roswell Park - 1847 - 632 ページ
...by half its altitude ; this latter being measured on a line perpendicular to the base. The square on the hypothenuse, of a right angled triangle, is equal to the sum of the squares on the other two sides. The measure of a square, is the square of one of its sides ; and... | |
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The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides. 
