 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw... | |
 | Euclides - 1864 - 448 pages
...3.) Wherefore the 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... | |
 | Henry White - 1864 - 156 pages
...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... | |
 | Robert Potts - 1865 - 528 pages
...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 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... | |
 | Euclides - 1865 - 402 pages
...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 triangle, and have one 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... | |
 | Architecture - 1865 - 276 pages
...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 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.... | |
 | Civil service - 1866 - 270 pages
...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 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... | |
 | 1867 - 224 pages
...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 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 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... | |
 | Robert Potts - 1868 - 434 pages
...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 triangle, and 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... | |
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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. 
