 | W J. Dickinson - Geometry - 1879 - 44 pages
...half of the parallelogram. Propositions XLIL-XLVHL (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... | |
 | Edward Harri Mathews - 1879 - 94 pages
...are 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 - Greek language - 1879 - 412 pages
...ratio, triplicate ratio. Explain the terms — alternando, ex aequali. 8. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole line and... | |
 | Euclides - 1879 - 146 pages
...they 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,... | |
 | Moffatt and Paige - 1879 - 474 pages
...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,... | |
 | Pupil teachers - 1880 - 1516 pages
...hall 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... | |
 | 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.—... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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... | |
 | 1880 - 594 pages
...is 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)'... | |
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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. 
