| Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...equal to one another, and the 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
...Therefore, if a parallelogram, <ic. QED Proposition 42. — Problem. To describe a parallelogram that **shall be equal to a given triangle, and have one of its** anrjles equal to a giceu rectilineal angle. Let ABC be the given triangle, and D the given rectilineal... | |
| Joseph Wollman - 1879 - 120 pages
...equal to the triangle LMN, and the base ST is three times as great as the base MN. QEF 2. To a given **straight line to apply a parallelogram which shall...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... | |
| W J. Dickinson - Geometry - 1879 - 44 pages
...parallelograms, which are about the diameter of any parallelogram, are equal to one another. 44. To a given **straight line to apply a parallelogram, which shall...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... | |
| University of Oxford - Greek language - 1879 - 412 pages
...from the vertex to the point of section shall bisect the vertical angle. 8. To a given straight line **apply a parallelogram, which shall be equal to a given...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... | |
| Edward Harri Mathews - 1879 - 94 pages
...towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe **a parallelogram which shall be equal to a given triangle,...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... | |
| Moffatt and Paige - 1879 - 474 pages
...remaining complement KD (Ax. 3). Therefore, the complements, etc. 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** sides equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle,... | |
| Euclides, 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,... | |
| Euclides - 1879 - 146 pages
...Therefore, the i — 7 KFLM has been described as required. QEF Cor. From this it is manifest how to a given **straight line to apply a parallelogram which shall be equal to a given** rectilineal figure, and shall have an angle equal to a given rectilineal angle; namely by applying... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...Proposition 24. Problem.— Upon a given straight line to describe a segment of a circle, containing an angle **equal to a given rectilineal angle. Let AB be the given straight line,** and the angle at C the given rectilineal angle; it is required to describe upon AB a segment of a circle... | |
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