| Adrien Marie Legendre - 1822 - 367 páginas
...BC*. LFGI E JJ 57 PROPOSITION XI. THEOREM. The square described on the hypotenuse of a right-angled **triangle is equivalent to the sum of the squares described on the** two sides. Let the triangle ABC be rightangled at A. Having formed squares on the three sides, let... | |
| Timothy Walker - 1829 - 129 páginas
...method just explained ; and the area of this triangle will be the area of the polygon. 108. THEOKEM. — **The square described upon the hypothenuse of a right...is equivalent to the sum of the squares described** upon the other two sides. This is the celebrated proposition, with the discovery of which Pythagoras... | |
| Timothy Walker - 1829 - 129 páginas
...of the triangle, we have the area of the polygon. 108. — The square described upon the hypothemise **of a • right triangle is equivalent to the sum of the squares described** upon tht other twn sides — . This is the celebrated proposition, with the discovery of which Pythagoras... | |
| Thomas Perronet Thompson - 1833 - 150 páginas
...PROPOSITION XLVIII. THEOREM. — If the square described on one of the sides of a triangle, be equal **to the sum of the squares described on the other two sides** of it; the angle made by those two sides is a right angle. Let ABC be a triangle, which is such that... | |
| Benjamin Peirce - 1837 - 159 páginas
...its altitude by the line joining the middle points of the sides which are not parallel. 256. Theorem. **The square described upon the hypothenuse of a right...is equivalent to the sum of the squares described** upon the other two sides. Demonstration. Let squares be constructed upon the three sides of the right... | |
| Adrien Marie Legendre - 1838 - 359 páginas
...LCBI 78 GEOMETRY, PROPOSITION XI. THEOREM. The square described on the hypothenuse of a right angled **triangle is equivalent to the sum of the squares described on the other two sides.** Let the triangle ABC be right angled at A. Having described squares on the three sides, let fall from... | |
| Charles Davies - 1840 - 252 páginas
...4=90 degrees. 10. In every right angled triangle, the square described on the hypothenuse, is equal **to the sum of the squares described on the other two sides.** Thus, if ABC be a right angled triangle, right angled at C, then will the square D described on AB... | |
| Scotland free church, gen. assembly - 1847
...makes the alternate angles equal. 2. If the square described on one of the sides of a triangle be equal **to the sum of the squares described on the other two sides,** these sides contain a right angle. 3. Divide a given line into two parts, so that the rectangle contained... | |
| James Bates Thomson - 1844 - 237 páginas
...in other words, BC^AB'-f-AC". Therefore, The square described on the hypolhcnuse of a right-angled **triangle, is equivalent to the sum of the squares described on the other two sides.** Cor. 1. Hence, by transposition, the square of one of the sides of a right-angled triangle is equivalent... | |
| Nicholas Tillinghast - 1844 - 96 páginas
...Appendix, Problem IV.) PROP. VII. THEOREM. The square described on the hypotenuse of a right-angled **triangle is equivalent to the sum of the squares described on the other two sides.** Let the triangle be KDI, right angled at I. Describe squares onKD, KI, DI ; then we have to prove that... | |
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