| Joseph Wollman - 1879 - 120 pages
...triangle RST is 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...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 - 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
...the remaining complement KD (Ax. 3). Therefore, the complements, etc. QED Proposition XLIV. Problem. **To a given straight line to apply a parallelogram,...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 - 1879 - 146 pages
...ABCD. 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... | |
| 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,... | |
| 1880 - 594 pages
...2. How many sides has a figure if the sum of its interior is double that of its exterior angles ? 3. **To a given straight line to apply a parallelogram,...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)'... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...remainder, the complement KD. [Axiom 3. Wherefore, the complementt &c. QED PROPOSITION 44. PROBLEM. **To a given straight line to apply a parallelogram,...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... | |
| Oxford univ, local exams - 1880 - 394 pages
...by the whole and that part, together with the square on the other part. 6. To a given straight line **apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle.** 7. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...the complement HKFD. Wherefore, The complements of the parallelograms, &c. QED PROP. XLIV. PROBLEM. **To a given straight line to apply a parallelogram...be equal to a given triangle, and have one of its** angle* equal to a given rectilineal angle. Let AB be the given straight line ; C the given triangle... | |
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