 | 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... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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 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=the... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Wherefore, if a parallelogram &c. QBD PROPOSITION 42. PROBLEM. To describe a parallelogram that thall 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... | |
 | 1880 - 160 pages
...Triangles on the same base and between the same parallels are equal. 7. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle. FIRST YEAE EXAMINATION IN AETS. For Students not Candidates for Honours. • . I. HOMER, OD. I.—... | |
 | 1880 - 594 pages
...double that of its exterior angles ? 3. 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. Is this a problem or theorem ? Why ? Algebra. — I. Simplify 9 (31 — a) (32: + a) - 7 (ix? + a)'... | |
 | Pupil teachers - 1880 - 1486 pages
...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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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
