 | Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
 | Adrien Marie Legendre - Geometry - 1828 - 346 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. IMC, GE Produce AB towards D ; at the point B, make the angle DBE=C ; draw BO perpendicular... | |
 | John Playfair - Geometry - 1829 - 210 pages
...done. PROPOSITION XXIII. PROBLEM. 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 in it, and DCE the given rectilineal angle; it is required to make an angle at the... | |
 | Euclides - 1834 - 518 pages
...* parts ; wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED 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 - 1835 - 540 pages
...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... | |
 | Mathematics - 1836 - 366 pages
...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... | |
 | 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
...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... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...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. In the construction ofthefgure, it is necessary to prove that Zs BHF + HFE < 2 right Zs, and that consequently... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...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... | |
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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
