 | John Mason Good - 1813 - 714 pages
...parallelograms which are about the diameter of any parallelogram, arc equal to one another. Prop. XLIV. Prob. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having an angle... | |
 | Euclides - 1814 - 560 pages
...triangle EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 'to. i. Bisect 3 BC in E, join AE, and at the point E in the 5 23. i. straight line EC make b the angle... | |
 | Charles Butler - 1814 - 582 pages
...and also one more : we are " to apply a parallelogram to a given straight line, which parallelogram shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle;" to " apply a parallelogram to a straight line," means to make it on that straight line, or so that... | |
 | Euclides - 1816 - 588 pages
...1. 23. 1. |•«! 1. s. i 41. i PROP. XLII. PROB. To describe a parallelogram that shall be equal te a given triangle, and have one of its angles equal to a given rectilineal angle. Lot .ABC he the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | John Playfair - 1819 - 354 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,...have one of its angles equal to a given rectilineal anglef Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...be d«ne. PROP. XXIII. PROB. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A the given point i« it, and DCE the given rectilineal angle ; it ift required to make an angle at... | |
 | Matthew Iley - 1820 - 512 pages
...draw from the extremity of a given straight line, a straight line making an angle with the former, equal to a given rectilineal angle. Let AB be the given straight line, and CDE the given rectilineal angle ; and let A be the extremity from which the line is to be drawn. From... | |
 | 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
...Therefore, if a parallelogram, &c. Q ED Proposition XLI1. Problem. 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. It is required to describe a parallelogram... | |
 | 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... | |
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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. 
