 | George Lees - 1826 - 276 pages
...right-angled 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.... | |
 | James Hayward - Geometry - 1829 - 228 pages
...we have « 2 =: b 2 + c 2 , that is — 7Vtc 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,... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...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 - Geometry - 1837 - 216 pages
...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...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 pages
...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... | |
 | Benjamin Peirce - Geometry - 1847 - 204 pages
...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...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... | |
 | Education - 1847 - 508 pages
...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... | |
 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...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 bj these two sides is a right angle. 3. In every triangle the square of... | |
 | Great Britain. Committee on Education - 1850 - 942 pages
...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... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...proposition is also true, viz. that ' if the square described upon one of the sides of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle between these two sides is a right angle.' Let ABC be a triangle, such that square... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
