| Civil service
...Enunciate 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... | |
| Euclides - 1860
...equal to the 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... | |
| Joseph Charles Parkinson - 1860
...Enunciate and 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... | |
| John Paxton Hall - 1860
...Enunciate 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... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...KD. (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 triangle, and have** one of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the... | |
| War office - 1861 - 12 pages
...the other two sides of the triangle, but shall contain a greater angle. 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. 4. The opposite angles of any quadrilateral figure... | |
| Alexander Hadden Hutchinson - Military art and science - 1861 - 100 pages
...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 given triangle, and have** one of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle... | |
| Euclides - 1862
...XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. 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. i. 15, 29, 31, 42, 43 ;... | |
| Euclides - 1863
...found, equal to it, and having 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.... | |
| University of Oxford - Education, Higher - 1863
...the same base, and between the same parallels, are equal to one another. 6. 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. 7. If the square described upon one of the sides... | |
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