 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.  Pure mathematics - Page 128by Edward Atkins - 1874Full view - About this book
 | Euclid - Geometry - 1810 - 554 pages
...ABCD is also double of the triangle KBC. Therefore, if a parallelogram, 8ec. QED PROP. XLII. PROB. AF TO describe a parallelogram that shall be equal to...angle. Let ABC be the given triangle, and D the given rcctiliueal angle. It is required to describe a parallelogram that shall be equal to the given triangle"... | |
 | John Mason Good - 1813 - 714 pages
...arc equal to one another. Prop. XLIV. Prob. 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. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having an angle... | |
 | Charles Butler - Mathematics - 1814 - 528 pages
...greater than EOF, then is BC greater than EF; and if less, less. 151. In prop. 42. we are taught how " to describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle." In prop. 44. we are to describe a parallelogram with the two former conditions, and also one more :... | |
 | Euclides - 1814 - 560 pages
...wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. To describe a parallelogram that shall be equal to...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
...the complements, &c. QED PROP. XLIV. PROB. 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 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
...ABCD is also double of the truin- -" gle EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. To describe a parallelogram that shall be equal to a given triangle, and hafe one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...complements, &c. QED Proposition XLIV. Problem. 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. Let AB be the given straight line, and С the given triangle, and D the given rectilineal angle. It is... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...also double of the 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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