| Euclides - 1863 - 72 pages
...one side EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which **shall be equal to a given triangle, and have one of its angles equal to a given** angle. SOL.— P 42, P. 31, Pit. 1, Put. 2.— Dot.— P. 29, Ax. 9, Ax. 12, P. 43, Ax. 1, P. 15. E.... | |
| Euclides - 1864 - 448 pages
...complements, &c. QED PROPOSITION XL1V. 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 Cthe given triangle, and D the given rectilineal angle. It is... | |
| Henry White - 1864 - 156 pages
...subject of examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which **shall be equal to a given triangle, and have one of its angles** eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which... | |
| Euclides - 1864 - 262 pages
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram **and have one of its angles equal to a given rectilineal angle.** 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
| Robert Potts - 1865 - 528 pages
...a parallelogram and a triangle, &c. QED TROPOSITION 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 tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Architecture - 1865 - 276 pages
...true of triangles. 4. Prop. 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.** Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse... | |
| Euclides - 1865 - 402 pages
...given rectilineal angle ......... I. 42. 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** . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle... | |
| Civil service - 1866 - 270 pages
...of the one to the third angle of the other. 2. 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.** 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole... | |
| 1867 - 224 pages
...be equal to the square on the other part. 9. 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.** 10. If a straight line be bisected, and produced to any point, the rectangle contained by the whole... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...EBC. Wherefore, if a parallelogram &c. QED PROPOSITION 42. 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... | |
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