 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
 | Euclides - 1826 - 226 pages
...triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal, angle, Let ABC be a given triangle, and D a given rectilineal angle. It is required to make a parallelogram equal to... | |
 | Euclid - 1826 - 234 pages
...triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let ABC be a given triangle, and D a o.iven rectilineal angle. It is required to make a parallelogram equal to... | |
 | Robert Simson - Trigonometry - 1827 - 546 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 angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
 | 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 angle. It is required... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equal to...a given triangle, and have one of its angles equal f angle. ' to a given rectilineal Let ABC be the given triangle, and D the given rectilineal angle.... | |
 | Euclid - 1835 - 540 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 angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...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 AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It is required... | |
 | Mathematics - 1836 - 366 pages
...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 AND ALGEBRA, NOT INCLUDING... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...complement KD. 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 C the given triangle, and D the given rectilineal angle. It is required... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...shall be double of the triangle. Proved by 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... | |
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