 | Euclides - 1862 - 172 pages
...remaining- complement XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. PROP. XLIV.— PROBLEM. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. (References — Prop. i. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB he the given straight line, and C... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...the same base, and between the same parallels, are equal to one another. 6. To a given straight line apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. 7. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
 | Euclides - 1863 - 74 pages
...be found, equal to it, and having one side EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which shall be equal...triangle, and have one of its angles equal to a given angle. SOL.— P 42, P. 31, Pit. 1, Put. 2.— Dot.— P. 29, Ax. 9, Ax. 12, P. 43, Ax. 1, P. 15. E.... | |
 | Henry White - 1864 - 156 pages
...selected Mathematics as a subject of examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which... | |
 | Euclides - 1864 - 262 pages
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
 | Euclides - 1864 - 448 pages
...triangle ABC. i nc TO a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
 | Euclides - 1865 - 402 pages
...a given triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. To a given straight line to apply a parallelogram,...one of its angles equal to a given rectilineal angle . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle... | |
 | Architecture - 1865 - 276 pages
...parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse... | |
 | Edward Atkins - 1877 - 72 pages
...Therefore, if a parallelogram, <ic. QED Proposition 42. — Problem. To describe a parallelogram that shall be equal to a given triangle, and have one of its anrjles equal to a giceu rectilineal angle. Let ABC be the given triangle, and D the given rectilineal... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...the parallelograms, which are about the diameter of any parallelogram, are equal to one another. 44. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. 45. Show how to describe a parallelogram equal to a given rectilineal figure, and having an angle equal... | |
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TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
