| Moffatt and Paige - 1879
...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...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... | |
| Edward Harri Mathews - 1879
...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... | |
| University of Oxford - 1879
...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... | |
| W J. Dickinson - 1879 - 36 sider
...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... | |
| Joseph Wollman - 1879
...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... | |
| Euclides - 1879
...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... | |
| Euclides, James Hamblin Smith - 1879 - 349 sider
...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,... | |
| Euclid, F. B. Harvey - 1880 - 119 sider
...E ; prove that ABCD is a parallelogram. PROP. XLII. PROBLEM. To describe a parallelogram that shall **be equal to a given triangle, and have one of its...and D the given rectilineal angle. It is required to** describe a parallelogram=the triangle ABC, and having one of its angles=the angle D. AFG CONSTRUCTION.... | |
| Isaac Todhunter - 1880 - 400 sider
...complementt &c. QED PROPOSITION 44. 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... | |
| Pupil teachers - 1880
...of the parallelogram. Propositions XLH-XLVHI. (inclusive). 42.To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.** Same proposition. If in the figure the triangle be equilateral, and the given angle two-thirds of a... | |
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