 | John Playfair - Euclid's Elements - 1832 - 358 pages
...complement BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to u given triangle, and have one of its angles equal to u given rectilineal angle. Let AB be the given... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. jf 0 a given straight line to apply a parallelogram, which...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 - 1834 - 518 pages
...* parts ; wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED 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... | |
 | Euclid - 1835 - 540 pages
...BK is equal to the remaining complement KD. Wherefore, " the complements," &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...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 - Euclid's Elements - 1835 - 336 pages
...construction will apply to the problem : to make a triangle equivalent to a given 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... | |
 | Mathematics - 1836 - 366 pages
...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 - Geometry - 1836 - 148 pages
...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 - 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,...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 - 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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...PROP. XXXIII. 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 C the given angle; it is required to describe on AB a segment of a circle, containing an angle... | |
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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. 
