 If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle.  Reports on Elementary schools - Page 810by Her MAjesty' Inspectors of schools - 1850Full view - About this book
 | Dublin city, univ - 1885 - 476 pages
...calculate the length of the perpendicular from the rigut angle on the hypotenuse. 1. If the square of one side of a triangle be equal to the sum of the squares of the remaining sides, the angle opposite to that side is a rifiht angle ? 2. Prove the proposition... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...the sum of M and N. For the square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides (ยง 338). 348- COROLLARY. By an extension of the above method a square may be constructed equivalent... | |
 | Law - 1890 - 958 pages
...line, and on the same side of tbe line, are between the same parallels. 2. Prove that if the square on one side of a triangle be equal to the sum of the squares on tbe remaining sidep, tbe angle opposite to that side is a right angle. 3. Find a line whose square... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1891 - 160 pages
...square on the hypotenuse is equal to the sum of the squares on the other two sides. 48. If the square on one side of a triangle be equal to the sum of the squares on the other two sides, the angle contained by these two sides shall be a right angle. Enunciations... | |
 | 1891 - 718 pages
...are drawn parallels to the sides, they cut off a pair of equal parallelograms. 3. If the square on one side of a triangle be equal to the sum of the squares on the other sides the angle contained by the latter is a right angle. 4. If a straight line is divided... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...with the identical equality of triangles ? Briefly enunciate them. 20 3. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. 15 4. Quote... | |
 | Euclid - Geometry - 1892 - 460 pages
...Equal squares stand ulion equal straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle. B Let... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...together equal to the larger of the two parallelograms about the diagonal. (12.) 11. If the square on one side of a triangle be equal to the sum of the squares on the other two sides, show that the angle contained by these two sides is a right angle. Show how... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...rectangle. PROPOSITION X. 341. Theorem. The square described upon the hypotenuse of a right triangle is equal to the sum of the squares described upon the other two sides. Let ABC represent a right triangle, whose hypotenuse is AC, AE the square upon the hypotenuse, and... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the quadrilaterals GFED, GCAD, BCIIL, LKAB are equal to one another. PROPOSITION 48. If the square an one side of a triangle be equal to the sum of the squares on the other sides, the angle contained by these two sides is a right angle. Let the square on BC,... | |
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