| John Playfair - 1835 - 316 sider
...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... | |
| 1836 - 335 sider
...centre from 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... | |
| John Playfair - 1836 - 114 sider
...PROP. XXV. PROB. Upon a given straight line to describe a segment of a circle, containing an angle **equal to a given 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... | |
| Andrew Bell - 1837 - 240 sider
...equal to the remaining 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... | |
| Euclides - 1837 - 88 sider
...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
...Wherefore the 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... | |
| Great Britain. Committee on Education - 1853
...greater side of every triangle is opposite to the greater angle. 3. 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. Sec/ion 2. 1. If a straight line be divided into any two parts, the square of the... | |
| Euclides - 1841 - 351 sider
...complement KD. Wherefore the 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... | |
| John Playfair - 1842 - 317 sider
...complement BK is equal to the 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... | |
| Euclides - 1842
...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... | |
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