 | Euclides - 1816 - 588 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,...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 - Circle-squaring - 1819 - 350 pages
...equal to the remaining complement KD. Wherefore, the complements, &c.. Q, E. I). A 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 - 1819 - 354 pages
...triangle EBC. Therefore, if a parallelogram, &c. Q, ED PROP. XLII. PROB. To describe a parallelogram that shall be equal 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. 48 KLESfENTSIt... | |
 | Euclid - 1822 - 222 pages
...be demonstrated that EK is a square. PROP. XLIV. PROB. Fig. 64. See 2f. To a given right line ( OS) to apply a parallelogram, which shall be equal to a given triangle and have an angle equal to a given one ( V). Let the given triangle be GHO, one of whose sides GO and the given... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...equal to the remaining complement KD. Wherefore the complements, &c. QED 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 С the given triangle, and D the given rectilineal... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...triangle EBC. Therefore, if a parallelogram, £e. QED PROP. XLII. PROB. To deseribe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a givea reetilineal angle. Let ABC be the giyen triangle, and D the given reetilineal angle* D C It is... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...BK, is equal f 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... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall he 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 - Geometry - 1829 - 210 pages
...rectilineal angle ; that is, to describe a segment such that all the angles described in it shall be equal to a given angle. Let AB be the given straight line, and C the given rectilineal angle; it is required to describe on AB a segment of a circle containing... | |
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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. 
