 | Euclid - 1835 - 540 pages
...double the triangle EBC. 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 to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...construction will apply to the problem : to make a triangle equivalent to a given 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... | |
 | Mathematics - 1836 - 366 pages
...centre from 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...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... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...; that is to say, a segment such, that all the angles inscribed in it, shall be equal to the given angle. Let AB "be the given straight line, and C the given angle. Produce AB towards D ; at the point B, make the angle • DBE = C ; draw BO perpendicular to... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...ABCD is also double of the triangle EBC. PROPOSITION X.LII. 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, James Thomson - Geometry - 1837 - 410 pages
...equal. f Wherefore, if through any point, &c. PROP. XLIV. PROB. To a given straight line to apply ta parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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... | |
 | Euclides - 1838 - 264 pages
...remaining complement KD. Wherefore the complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite straight line to apply a parallelogram which shall...rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required to apply to the straight line... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...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 that shall be equal to the given triangle ABC, and have one of its angles... | |
 | Euclides - Geometry - 1841 - 378 pages
...triangle EliC. 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 to a given rectilineal angle. Let ABC be the given triangle, and D the given E 2 rectilineal angle. It is required to describe a parallelogram... | |
| |
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. 
