 | Civil service - 366 pages
...and prove the corollaries of the last proposition. PROP. XLIV. — 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. The quadrilateral figures whose diameters bisect each other is a parallelogram.... | |
 | Euclides - 1860 - 288 pages
...remaining complement KD (Ax. 8). it ,\ PROPOSITION XUV. 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. Given the straight line AB, the triangle C, and the rectilineal angle D. It is required... | |
 | John Paxton Hall - 1860 - 186 pages
...and prove the corollaries of the last proposition. PROP. XLIV. — 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. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...prove the corollaries of the last proposition. 5. PBOP. XLIV. — 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. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram.... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...described upon the other two sides of it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a...triangle, and have one of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve... | |
 | War office - 1861 - 714 pages
...another upon one side of it, are either two right angles or are together equal to two right angles. 2. Describe a parallelogram which shall be equal to a...triangle and have one of its angles equal to a given rectilineal angle. VOLUNTARY PORTION. 1. About a given circle describe a triangle equiangular to a... | |
 | Euclides - 1862 - 140 pages
...— Therefore, 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. (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be... | |
 | Euclides - 1862 - 172 pages
...1) Therefore if a parallelogram, &c. QED PROP. 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. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be the... | |
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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. 
