| Charles Butler - 1814 - 582 sider
...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 sider
...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 sider
...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 - 1819 - 350 sider
...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 sider
...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 sider
...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 - 1825 - 1046 sider
...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 - 1826 - 326 sider
...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... | |
| Euclid - 1826 - 234 sider
...given triangle, and having an angle equal to a given rectilineal angle, Let AB be the given right line, c the given triangle, and D the given rectilineal angle. It is required to the right Tine AB to apply a parallelogram equal to the given triangle с, and having an angle equal... | |
| Robert Simson - 1827 - 546 sider
...1. t Conslr. * 38. 1. •41.1. t6 Ax. t Constr. PROP. XLII. PROB. To descr1be 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 a given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| |