 | Euclides - 1855 - 270 pages
...the trapezoid. PROP. XLII. PROBLEM. To describe a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let AB ะก be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...the base are equal. 2. Parallelograms upon the same base and between the same parallels are equal. 3. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Section II. โ 1. If a straight line be divided into any two parts, the square of the whole line shall... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...exterior angle is greater than either of the interior opposite angles. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also into... | |
 | 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 - 346 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... | |
 | 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. โ 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.... | |
 | 1858 - 398 pages
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. โ 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,... | |
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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. 
