 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.  Pure mathematics - Page 128by Edward Atkins - 1874Full view - About this book
 | Joseph Charles Parkinson - 1860 - 154 pages
...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 each other is a parallelogram. BOOK II. 7. PEOP.... | |
 | Civil service - 366 pages
...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 each other is a parallelogram. BOOE IL PROP. VI. —... | |
 | 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 number in the other as 4 to 3, how many men were there in each regiment originally ? Euclid. 1, Describe a parallelogram that shall be equal to a...of its angles equal to a given rectilineal angle. VOLUNT.ABY PORTION. 1. If three straight lines meet all in one point and a straight line stand at right... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...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 about a given triangle. 2. Solve the following equation... | |
 | Euclides - 1862 - 172 pages
...alio'ABCD Is double of the triangle EBC. (ax. 1) Therefore if a parallelogram, &c. QED PROP. XLII. — PROBLEM. To describe a parallelogram that shall be...of its angles equal to a given rectilineal angle. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be the given triangle, and... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 6. Describe a parallelogram that shall be equal to a...of its angles equal to a given rectilineal angle. 7. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle... | |
 | Euclides - 1863 - 74 pages
...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 - 262 pages
...double of the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and hate one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the... | |
 | Henry White - 1864 - 156 pages
...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... | |
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