 | Euclid, James Thomson - 1837 - 410 Seiten
...Wherefore, if 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 Seiten
...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 Seiten
...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...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 - 1840 - 82 Seiten
...squares of half the line, and of the part intermediate between the points of section. PROP. X. THEOR. If a straight line be bisected, and produced to any point, the squares of the whole produced line, and of the produced part, are together double of the squares of... | |
 | Euclides - 1841 - 378 Seiten
...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...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... | |
 | Euclides - 1842 - 316 Seiten
...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 - 1842 - 332 Seiten
...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... | |
 | John Playfair - 1844 - 338 Seiten
...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 ejual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and... | |
 | Euclid - 1845 - 218 Seiten
...complements, &c. QED PROPOSITION XLIV. PROB. — To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have...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... | |
 | Euclides - 1845 - 546 Seiten
...complements, &c. QEM PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have...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... | |
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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. 
