| Ferdinand Rudolph Hassler - 1826 - 192 páginas
...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... | |
| Silvestre François Lacroix - 1826 - 165 páginas
...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... | |
| 1827
...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
...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... | |
| 1838
...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
...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... | |
| 1830
...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... | |
| Charles Davies - 1830 - 300 páginas
...found 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 - 1831 - 370 páginas
...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... | |
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