| Euclid - 1835 - 540 σελίδες
...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 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... | |
| John Playfair - 1835 - 336 σελίδες
...rectangle. PROP. XV. 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 AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
| 1836 - 366 σελίδες
...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 - 1837 - 290 σελίδες
...complement KD. 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... | |
| Euclid, James Thomson - 1837 - 410 σελίδες
...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 - 1837 - 112 σελίδες
...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... | |
| Robert Simson - 1838 - 434 σελίδες
...EBC. 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...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 - 1838 - 264 σελίδες
...&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 σελίδες
...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 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 re... | |
| Euclides - 1842 - 316 σελίδες
...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... | |
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