 | Royal college of surgeons of England - 1860 - 332 σελίδες
...and the diameter bisects them. Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that shall be equal to a...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... | |
 | Civil service - 366 σελίδες
...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. —... | |
 | Euclides - 1860 - 288 σελίδες
...KD (Ax. 8). it ,\ PROPOSITION XUV. PROBLEM. 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. Given the straight line AB, the triangle C, and the rectilineal angle D. It is required to apply to... | |
 | Joseph Charles Parkinson - 1860 - 154 σελίδες
...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.... | |
 | John Paxton Hall - 1860 - 186 σελίδες
...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 figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —... | |
 | Robert Potts - 1860 - 380 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...double of the triangle EBC. (ax. 1) Therefore if a parallelogram, &c. QED PROP. XLII. — PROBLEM. To describe a parallelogram that shall be equal to...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... | |
 | Euclides - 1862 - 140 σελίδες
...PROPOSITION 42.— PROBLEM. (References— Prop. I. 10, 23, 31, 38, 41; ax. 6; def. 35.) Given.— Let ABC be the given triangle, and D the given rectilineal angle. Sought. — It is required to describe a parallelogram that shall be equal to the given triangle ABC,... | |
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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. 
