 | War office - 1861 - 714 σελίδες
...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...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... | |
 | Euclides - 1862 - 172 σελίδες
...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...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... | |
 | Euclides - 1862 - 140 σελίδες
...squares on AC and CD. Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 10.— THEOREM. If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double... | |
 | University of Oxford - 1863 - 316 σελίδες
...triangle are together equal to two right angles. 11. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have...of its angles equal to a given rectilineal angle. vAlgebra. 1. Collect the coefficients of CK, y, z in ax + b(c— a)y + (a— b}z— (x— y](a —... | |
 | Euclides - 1863 - 74 σελίδες
...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
...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...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
...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... | |
 | 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... | |
 | Robert Potts - 1865 - 528 σελίδες
...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...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
...to a given rectilineal angle ......... I. 42. 2. 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 . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle... | |
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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. 
