 | 1856 - 376 pages
...te base are equa. 2. Parallelograms upon the same base 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, ve one of its anles eual to a iven rectilineal anle. . o rag ne o appy a paraeogra have one of its... | |
 | John Playfair - Euclid's Elements - 1856 - 344 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram,, which shall be equal to a given triangie, and have one of its angles ejual to a given rectilineal angle. Let AB be the given straight... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...and 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... | |
 | 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.... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PROP. 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. 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,... | |
 | 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.... | |
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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... 
