| Euclides - Euclid's Elements - 1837 - 112 pages
...showing that C3m BD = 2 A ABC, which = 2 A EBC. PROPOSITION Problem. To describe a parallelogram, that **shall be equal to a given triangle, and have one of its angles** to a given rectilineal XLII. Steps of the Demonstration. 1. Prove that whole A ABC = 2 A ACE, 2. that... | |
| Euclides - 1838 - 264 pages
...remaining complement KD. Wherefore the complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite **straight line to apply a parallelogram which shall...rectilineal angle. Let AB be the given straight line,** C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line... | |
| Robert Simson - Geometry - 1838 - 434 pages
...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 that shall be equal to the given triangle ABC, and have one of its angles... | |
| Euclides - Geometry - 1841 - 378 pages
...triangle EliC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROB. 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 E 2 rectilineal angle. It is required to describe a parallelogram... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. **To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles** e-jual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Euclides - 1842 - 316 pages
...equivalent to the remaining complement KD (3. Ax.). Wherefore the complements, &c. QED PROP. XLIV. PROB. **To a given straight line to apply a parallelogram, which shall be** equivalent to a given triangle, and have one of its angles equal to a given rectilineal angle. Let... | |
| John Playfair - Euclid's Elements - 1844 - 338 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. **To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles** ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...equal.* Wherefore, if through any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt **a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given** angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply... | |
| Euclides - 1845 - 546 pages
...a parallelogram and a triangle, &c. QED PROPOSITION 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 the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclid - Geometry - 1845 - 218 pages
...parts ; wherefore ABCD is also B '.'. PROPOSITION XLII. PROB. — 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... | |
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