 | Euclid - 1826 - 234 pages
...complement KC. Therefore the complements, &c. QED PROPOSITION XLIV. PROBLEM.* To a given right line to apply a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal angle, Let AB be the given right line, c the given triangle, and D the given rectilineal... | |
 | Euclides - 1826 - 226 pages
...ะบั. Therefore the complements, Sic. QED PROPOSITION XLIV. PROBLEM.* To a given right line to apply a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal angle. c the given triangle, and D the given i Let AB be the given right line, rectilineal... | |
 | Euclides - 1833 - 304 pages
...half the parallelogram ; /. the parallelogram is = to the whole triangle. PROP. 42, PROB. To construct a parallelogram, equal to a given triangle, and having an angle equal to a given one. Through the vertex of the triangle draw a right line par. to the base ; bisect the base ; and... | |
 | Euclides - 1840 - 82 pages
...the same parallels, the parallelogram is double of the triangle. DF PROP. XLII. PROB. To construct a parallelogram equal to a given triangle, and having an angle equal to a given rectilinear angle. PROP. XLIII. THEOR. The complements of the parallelograms which are about the diagonal... | |
 | Euclides - 1846 - 272 pages
...similarily demonstrated, that EK is a square. PROPOSITION XLIV. PROBLEM. To a given right line (OS) to apply a parallelogram, equal to a given triangle, and having an angle equal to a given angle (V.) First, let the given triangle be GHO, one of whose sidesGO, forms a continuation HB co of the... | |
 | Euclides - 1852 - 48 pages
...the perpendicular breadth of the triangle, and half the product will be the area. PBOP. XLII. PBOB. To describe a parallelogram equal to a given triangle, and having an angle equal to a given one. Let BAC be the given triangle, and D the given angle. It is required to describe a parallelogram... | |
 | 1857 - 400 pages
...a-, Quest. 3. Divide x* โ Si i/1 by x โ 3 y. Euclid. Quest. 1. To a given straight line to apply a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal angle. Quest. 2. Equal triangles upon the same base and upon the same side of it, are between... | |
 | War office - 1858 - 578 pages
...length, from a given point without it. What is the necessity of the condition marked in italics I 2. Describe a parallelogram equal to a given triangle, and having an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1. Describe a circle about a given triangle; if the sides of... | |
 | Eucleides - 1860 - 396 pages
...given rectilineal angle. Upon a given finite straight line to construct a parallelogram equal in area to a given triangle, and having an angle equal to a given rectilineal angle. To construct a parallelogram equal in area to a given rectilineal figure, and having... | |
 | Dublin city, academic inst - 1862 - 32 pages
...propositions which are involved in the solution of the problem. 2. To a given finite right line apply a parallelogram equal to a given triangle, and having an angle equal to a given one. 3. Parallelograms on the same base and between the same parallels are equal. 4. Suclid says the... | |
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To describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. 
