 | W F. Richards - 1856 - 198 σελίδες
...and between the same parallels are equal. 3. 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. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall... | |
 | 1858 - 398 σελίδες
...of the last proposition. 5. PUOP. 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 figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP.... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...of the last proposition. 5. 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. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP.... | |
 | War office - 1858 - 578 σελίδες
...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... | |
 | Euclides - 1868 - 88 σελίδες
...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.... | |
 | Euclides - 1858 - 248 σελίδες
...given line BC. (31. I.) In practice, the parallel ruler, or the triangular square, is used. PROB. 11. To describe a parallelogram that shall be equal to a given triangle ABC, and have one of its angles equal to a given rectilineal angle D. By 10. I. bisect BC in E ; by... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...by the 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,... | |
 | 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... | |
 | 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.... | |
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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. 
