 | Robert Potts - 1860 - 380 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... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...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 parts, the rectangle... | |
 | War office - 1861 - 714 σελίδες
...triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram...of its angles equal to a given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
 | Alexander Hadden Hutchinson - 1861 - 128 σελίδες
...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,...of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve the following equation... | |
 | Euclides - 1862 - 172 σελίδες
...(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...of its angles equal to a given rectilineal angle. (References — Prop. i. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB he the given straight line, and C... | |
 | University of Oxford - 1863 - 316 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... | |
 | Euclides - 1863 - 74 σελίδες
...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. 9, Ax. 12, P. 43, Ax. 1, P. 15. E.... | |
 | Euclides - 1864 - 448 σελίδες
...(ax. 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...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. It is... | |
 | Henry White - 1864 - 156 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...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 - 1864 - 262 σελίδες
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of... | |
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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. 
