 | Euclides - 1862 - 172 pagine
...equal to a given rectilineal angle. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles... | |
 | University of Oxford - 1863 - 316 pagine
...base and between the same parallels are equal to each other. 6. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 7. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
 | Euclides - 1863 - 74 pagine
...EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which shall be equal to a given 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.... | |
 | Euclides - 1864 - 262 pagine
...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... | |
 | Henry White - 1864 - 156 pagine
...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 - 448 pagine
...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... | |
 | Robert Potts - 1865 - 528 pagine
...complements, &c. QED PROPOSITION XLIV. PROBLEM. 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. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
 | Euclides - 1865 - 402 pagine
...Therefore if a parallelogram, &c. QED PROP. XLII.— PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. (References— Prop. I. 10, 23, 31, 38, 41; ax. 6; def. I. 34.) Let ABC be the given triangle, and... | |
 | 1865 - 276 pagine
...triangles. 4. Prop. 44. — Problem. 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. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse... | |
 | John Playfair - 1855 - 350 pagine
...EBC PKOP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and fow one of its angles equal to a given rectilineal angle....given triangle, and D the given rectilineal angle. I is required to describe a parallelogram that .shall be equal to the given in angle ABC, and have... | |
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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. 
