| Euclides - 1864
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. PROBLEM. **To a given straight line to apply a parallelogram,...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.... | |
| Henry White - 1864
...selected Mathematics as a 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 - 1865
...a given triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. **To a given straight line to apply a parallelogram,...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... | |
| 1865
...parallels are equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. **To a given straight line to apply a parallelogram,...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... | |
| Civil service - 1866
...each, and also the third angle 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...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...remainder, the complement KD. [Axiom 3. Wherefore, the complements &c. QED PROPOSITION 44. PROBLEM. **To a given straight line to apply a parallelogram,...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... | |
| 1867
...whole and one of the parts may 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...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... | |
| Robert Potts - 1868 - 410 sider
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal** angle. Let AB be th« given straight line, and Cthe given triangle, and D the given rectilineal angle.... | |
| Robert Johnston (F.R.G.S.) - 1869 - 178 sider
...to 3 times the sain of the digits ; find the number. 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 equal to a** rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment.... | |
| Euclides - 1871
...BC, CD (one of them being produced) in M, N. Shew that the triangle MBN is equal to the triangle MDC. **To a given straight line to apply a parallelogram,...shall be equal to a given triangle, and have one of** it* angle* equal to a given angle. HA Let AB be the given st. line, C the given A, D the given / .... | |
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