 | George Lees - 1826 - 276 σελίδες
...triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent to the sum of the squares described upon the other two sides, the angle contained by these twq sides is a right angle. ELEMENTS OF GEOMETRY. BOOK II. DEFINITIONS.... | |
 | Timothy Walker - 1829 - 156 σελίδες
...polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle 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 is said to have been so... | |
 | James Hayward - 1829 - 218 σελίδες
...c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the squares described upon the other two sides. 173. We may demonstrate this truth from the areas immediately, without referring the lines to numbers,... | |
 | John Martin Frederick Wright - 1831 - 282 σελίδες
...cycloid. TRINITY COLLEGE, MAY 1828. 1 . IP the square described upon one of the sides of a triangle is equal to the sum of the squares described upon the other two ; the angle contained by these two is a right angle. 2. In a given circle to inscribe a triangle equiangular... | |
 | Euclid - 1833 - 216 σελίδες
...71. PROP. XLVIII. THEOR. Fig. 72. If the square described upon one side (AC] of a triangle (ABC) be equal to the sum of the squares described upon the other two sides (AB andBC), the angle (ABC) opposite to that side is a right angle. 1 i ) SchoL From the point B draw... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...parallel. 256. Theorem. The square described upon the hypothenuse of a right triangle 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 triangle ABC (fig. 130),... | |
 | Great Britain. Council on Education - 1845 - 696 σελίδες
...but shall contain a greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into... | |
 | 1847 - 508 σελίδες
...same parts, are between the same parallels. 3. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a light angle. SECTION Il. — 1. To divide a straight... | |
 | Benjamin Peirce - 1847 - 204 σελίδες
...parallel. ' 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Proof. Let squares be constructed upon the three sides of the right triangle ABC (fig. 130), right-angled... | |
 | Great Britain. Committee on Education - 1850 - 942 σελίδες
...many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. In every triangle the square of... | |
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The square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 
