 | Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...that similar triangles have their homologous sides proportional, and that in a right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the two other sides, are the basis of the application of algebra to geometry. But there... | |
 | American literature - 1827 - 654 pages
...but they are now no longer necessary in calculation. If to this we add the Pythagorean proposition, that the square of the hypothenuse is equal to the sum of the squares of the two sides, we have the basis upon which Mr. Hassler has built a complete system of the... | |
 | 1829 - 538 pages
...given to find the third, a more direct solution is obtained by the property of a nght angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides. The substance of what has been previously said upon the resolution... | |
 | Industrial arts - 1838 - 520 pages
...AE is the other leg, and AB, is the third side, or hypothenuse. Then, as in right angle triangles, the square of the hypothenuse is equal to the sum of the squares of the other two sides, in the right angle triangle AEB, B E2+AW = A B2: but as BE, and AE... | |
 | 1829 - 536 pages
...find the third, a more direct solution is obtained by the property of a right angled triangle, thnt the square of the hypothenuse is equal to the sum of the squares of the other two sides. The substance of what has been previously said upon the resolution... | |
 | Unitarianism - 1830 - 414 pages
...hecatomb to the gods,, was very different from the strong thinking, which led to the geometrical truth that ' the square of the hypothenuse is equal to the sum of the squares of the two sides ' — and though the ardor of discovery animated the breast of the philosopher... | |
 | Jeremiah Day - Measurement - 1831 - 394 pages
...given, the third side may be found, without the aid of the trigonometrical tables, by the proposition, that the square of the hypothenuse is equal to the sum of the squares of the two perpendicular sides. (Euc. 47. I.) If the legs be given, extracting the square root... | |
 | Francis Lieber, Edward Wigglesworth - Encyclopedias and dictionaries - 1832 - 656 pages
...three angles of a triangle are together equal to two right angles ; and in aright-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the two sides. This lust is still called the Pythagorean theorem (also magiater nuithtseos),... | |
 | Ralph Wardlaw - Christian ethics - 1834 - 480 pages
...triangles, and so constituted what it is.— But in saying this, I have stated my own error as well as his. The property, that the square of the hypothenuse is equal to the squares of the other two sides, is not the property which constitutes the rectangular triangle what... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
