| John Playfair - Mathematics - 1806 - 320 pages
...PROB. 10. 1. b 31. 3. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the given straight line... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...XXXIII. PROB. UPON a given straight line to describe a segment Sec N of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the given straight line... | |
| Euclid - Geometry - 1810 - 554 pages
...complements, &c. QED PROP. XLIV. PROB. TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal...the given straight line, and C the given triangle, md O the given rectilineal angle. It is required to apply to the straight line AB a parallelogram equal... | |
| John Mason Good - 1813 - 714 pages
...another. Prop. XLIV. Prob. 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. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having an angle... | |
| Euclides - 1814 - 560 pages
...Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 'to. i. Bisect 3 BC in E, join AE, and at the point E in the 5 23. i. straight line EC make b the angle... | |
| Charles Butler - 1814 - 582 pages
...if less, less. 151. In prop. 42. we are taught how "to describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle." In prop. 44. we are to describe a parallelogram with the two former conditions, and also one more :... | |
| Euclides - 1816 - 588 pages
...1. 23. 1. |•«! 1. s. i 41. i PROP. XLII. PROB. To describe a parallelogram that shall be equal te a given triangle, and have one of its angles equal to a given rectilineal angle. Lot .ABC he the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Matthew Iley - 1820 - 512 pages
...draw from the extremity of a given straight line, a straight line making an angle with the former, equal to a given rectilineal angle. Let AB be the given straight line, and CDE the given rectilineal angle ; and let A be the extremity from which the line is to be drawn. From... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...parallelogram, &c. Q ED Proposition XLI1. 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 the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclid - 1826 - 234 pages
...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 angle. It is required to the right Tine AB to apply a parallelogram equal to the given triangle с, and having an angle equal... | |
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