 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which thall be equal to a given triangle, and have one of its angles to a given angle. A. £ Let AB be the given st. line, C the given A, D the given L . It is required... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...diameter divides it into two equal parts. (9). 9. Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10). 10. In a right-angled triangle, show that the... | |
 | Edward Atkins - 1877 - 72 pages
...itc. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which slaill be equal to a given triangle, and have one of its angles tqual to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D... | |
 | Moffatt and Paige - 1879 - 474 pages
...parallelogram and a triangle, etc. QED Proposition XLII. 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... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...section shall bisect the vertical angle. 8. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
 | Joseph Wollman - 1879 - 120 pages
...times as great as the base MN. QEF 2. 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. To one of the sides of an equilateral triangle apply an equal parallelogram having one of its angles... | |
 | Edward Harri Mathews - 1879 - 94 pages
...also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 6. In any right-angled triangle, the square which is described on the side subtending the right angle... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...parallelogram, are equal to one another. 44. 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. 45. Show how to describe a parallelogram equal to a given rectilineal figure, and having an angle equal... | |
 | Euclides - 1879 - 146 pages
...shall be between the same parallels. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be the given A and D the given £_ . It is required to describe a / — 7 = the given... | |
 | James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall le equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be the given A , and D the given L . It is required to describe a EH equal to A ABC,... | |
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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. 
