 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford, Henry Vethake - 1832
...The three angles of a triangle ore 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 last is still called the Pythagorean theorem (also magister matheteos),... | |
| |
... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
