 | Euclides - 1860 - 288 pages
...complement BK is equal to the remaining complement KD (Ax. 8). it ,\ PROPOSITION XUV. PROBLEM. To a given straight line to apply a parallelogram, which shall...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 to apply to... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PEOP.... | |
 | John Paxton Hall - 1860 - 186 pages
...right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —... | |
 | Royal college of surgeons of England - 1860 - 336 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 parts, the rectangle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...triangle. 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 Tertex shall be in a given angle of... | |
 | War office - 1861 - 714 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...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 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,...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 pages
...complement XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. PROP. XLIV.— PROBLEM. To a given straight line to apply a parallelogram, which shall...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 pages
...to a given rectilineal angle. (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be the given straight line, C the given triangle, and D the given angle. Sought. — It is required to apply to the straight line AB, a parallelogram equal to the triangle... | |
 | Euclides - 1863 - 72 pages
...be 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...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.... | |
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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. 
