 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...therefore trie remaining complement BK is equal to the remaining complement KD. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...equal. f 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 - 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...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 pages
...The complements of the parallelograms which are about the diagonal of a parallelogram, are equal. AH PROP. XLIV. PROB. To a given straight line to apply a parallelogram equal to a given triangle, and having an angle equal to a given rectilinear angle. EH PROP. XLV. PROB.... | |
 | Euclides - Geometry - 1841 - 378 pages
...complement BK is equal* to * 3 Ax. the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply...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
...is equal or 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
...equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply...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 - Geometry - 1845 - 218 pages
...complement BK is equal J to the remaining complement KD. Wherefore the complements, &c. QED PROPOSITION XLIV. PROB. — To a given straight line to apply...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. 
