| 1858 - 398 pages
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — **To a given straight line to apply a parallelogram,...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.... | |
| 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... | |
| Euclides - 1868 - 88 pages
...P. 34. 4 5 P. 34. 6 D. 45. 7 Ax. 2. 8 D. 2. 9 Ax. 3. SCHoL. 10 Recap. PROP. XLIV. PHOB. To a given **line to apply a parallelogram which shall be equal to a given triangle, and** liavi of its angles equal tu a given angle. SOL. P. 42. 31. Pst. 1.2. DEM. P. 29. Ax. 9. 12. P. 43,... | |
| Euclides - 1858 - 248 pages
...ABC will equal the parallelogram FECG, and have an angle equal to D. PROB. 12. To a given line, AB, **to apply a parallelogram which shall be equal to a given triangle** C, and have one of its angles equal to a given angle D. By 42. I. make a parallelogram BEFG equal to... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...equal to the angle contained 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,... | |
| John Paxton Hall - 1860 - 186 pages
...equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. PROP. VI. —... | |
| Euclides - 1860 - 288 pages
...remaining complement BK is equal to the remaining complement KD (Ax. 8). it ,\ PROPOSITION XUV. PROBLEM. **To a given straight line to apply a parallelogram,...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
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — **To a given straight line to apply a parallelogram,...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.... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
| Civil service - 366 pages
...equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — **To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle.** The quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. —... | |
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