| Euclid - 1835 - 540 pages
...double the triangle EBC. 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 rectilineal angle. It is required to describe a parallelogram... | |
| John Playfair - Euclid's Elements - 1835 - 316 pages
...to the given straight line BC. PROP. XIV. PROB. To describe a parallelogram that shall be equivalent **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 ia required to describe a parallelogram... | |
| Mathematics - 1836 - 366 pages
...their common diameter is equal to twice its radius. 39. Define a parallelogram. Describe one which **shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** 40. Describe a square about a given circle. SECTION II. QUESTIONS IN ARITHMETIC AND ALGEBRA, NOT INCLUDING... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...ABCD is also double of the triangle EBC. PROPOSITION X.LII. 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 - 1837 - 410 pages
...through any point, &c. PROP. XLIV. PROB. To a given straight line to apply ta parallelogram, which **shall be equal to a given triangle, and have one of its angles equal to a given** angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
| 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
...complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite 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, C the given triangle, and D the given rectilineal angle. It is required... | |
| Euclides - 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... | |
| Euclides - 1842 - 320 pages
...if a parallelogram, &c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equivalent **to a given triangle, and have one of its angles equal to a given rectilineal angle.** Let AB c be the given triangle, and D the given rectilineal angle : it is required to describe a parallelogram... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...remaining complement KD. 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** e-jual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
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