 | Robert Potts - 1865 - 528 σελίδες
...(ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...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... | |
 | Euclides - 1865 - 402 σελίδες
...K». (ax. 3.) Wherefore, the complements, &c. QED PROP. XLIV.— PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. (References — Prop. 1. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB be the given straight line, and C... | |
 | 1865 - 276 σελίδες
...another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal to a given...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... | |
 | Henry White - 1867 - 172 σελίδες
...the Colonial Office, who selected Mathematics as a subject of examination. A.— PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which...of its angles equal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment. 3. Give Euclid's... | |
 | 1867 - 224 σελίδες
...rectangle contained by the 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...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 - 1867 - 426 σελίδες
...KD. [Axiom 3. Wherefore, the complements &c. QED PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...(ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...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. It... | |
 | Euclides - 1871 - 136 σελίδες
...produced) in M, N. Shew that the triangle MBN is equal to the triangle MDC. To a given straight line to apply a parallelogram, which 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 / .... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join two given points... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its a..gles equal to a given angle. B JJ C Let ABC be the given A , and D the given L . It is required... | |
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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. 
