| Ferdinand Rudolph Hassler - Astronomy - 1826 - 640 pages
...three sides; to find the Surface of the triangle. By the theorem of geometry, so often employed : that **the square of the hypothenuse is equal to the sum of the** squares of the two sides, and expressing the parts by trigonometry, as in section 56, we find : BD... | |
| American literature - 1827 - 654 pages
...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... | |
| Industrial arts - 1838 - 520 pages
...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 are equal, their squares are equal also, therefore 2 EB- = A B2,... | |
| 1829 - 538 pages
...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... | |
| Theology - 1830 - 418 pages
...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... | |
| Charles Davies - Surveying - 1830 - 390 pages
...by either of the three last cases : or, if two of the sides be given, by means of the property, that **the square of the hypothenuse is equal to the sum of the** squares of the other two sides ; or the parts may be found by Art. 46. Example 1.— In the right-angled... | |
| Jeremiah Day - Measurement - 1831 - 394 pages
...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),... | |
| William Smyth - Plane trigonometry - 1834 - 94 pages
...third. This case, however, may be solved by means of the known property of a right angled triangle, viz. **the square of the hypothenuse is equal to the sum of the** squares of the two sides. It may moreover be resolved with facility by means of the two propositions... | |
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