| Benjamin Peirce - Geometry - 1847 - 204 pages
...sides which are not 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... | |
| 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... | |
| Almon Ticknor - Measurement - 1849 - 156 pages
...therefore AC, BD, are bisected at the point 0. Fig. 25. 26. 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. (Pig. B) Fig. A. Let the triangle ABC be right-angled at A. Having described... | |
| Charles Davies - Logic - 1850 - 398 pages
...class will be common to every individual of the class. For example : " the square on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides," is a proposition equally true of every right-angled triangle: and "every 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... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...algebraical formula, (a+b)x(ab)=o?-b*. PROPOSITION XI. THEOEEM. The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the two other sides. Let BCA be a right-angled triangle, right-angled at A : then will the square... | |
| Charles Davies - Geometry - 1854 - 436 pages
...expressed by the algebraical formula, 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 BCA be a right•angled triangle, right•angled at A : then will the square... | |
| 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... | |
| Thomas Fisher - Mathematics - 1854 - 156 pages
...proposition of the first book of Euclid, viz : that the square described upon the hypothenuse is equal to the sum of the squares described upon the other two sides ja demonstration «>f the highest importance, from the very numerous- applications it finds in every... | |
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