 | Alexander Hadden Hutchinson - 1861 - 128 pages
...it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve the following equation... | |
 | War office - 1861 - 714 pages
...triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
 | Euclides - 1862 - 140 pages
...&c. QED PROPOSITION 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. (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be the given straight... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 pages
...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.... | |
 | Henry White - 1864 - 156 pages
...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... | |
 | Robert Potts - 1865 - 528 pages
...parallelogram and a triangle, &c. QED TROPOSITION 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. Let ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | Euclides - 1865 - 402 pages
...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... | |
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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
