| Cambridge univ, exam. papers - 1856 - 200 pages
...between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole... | |
| Euclides - 1858 - 248 pages
...angles equal to a given rectilineal angle. P. 44. To a given line to apply a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. DEMONSTRATION. — Ax. 1. Magnitudes which are equal to the same, are equal to each other. Ax.... | |
| Euclides - 1868 - 88 pages
...Concl. 5 D. 2. 6 Recap. XLI. XLTI. . XLII. PRoB. To describe a parallelogram that shall be equal ti> a given triangle, and have one of its angles equal to a given rectilineal angle. I\ 10. Pst, 1. P. 23. 31. Def. A. DEM. P. 38. 41. Ax. G. Ezr 1 Data. 2 Quses. 1. „ 2. CoN. 1 P. 10.... | |
| War office - 1858 - 578 pages
...consisting of 540, 510, 480, 390, 360 men respectively? 8. Define a parallelogram. 118 STAFF COLLEGE. a given triangle and have one of its angles equal to a given rectilineal angle. If two finite straight lines intersect and bisect each other, the straight lines joining their extremities... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...two sides equal to them of the other. 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 right angle. What is such a parallelogram called \ 3. Prove one case only of the following proposition,... | |
| Joseph Charles Parkinson - 1860 - 154 pages
...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. BOOK II. 7. PEOP.... | |
| John Paxton Hall - 1860 - 186 pages
...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 II. PROP. VI. —... | |
| Civil service - 366 pages
...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. BOOE IL PROP. VI. —... | |
| Royal college of surgeons of England - 1860 - 332 pages
...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... | |
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