| Euclides - 1855 - 270 pages
...parallelogram, equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required to apply to (that is, to describe upon) the straight line AB, a parallelogram... | |
| John Playfair - Euclid's Elements - 1855 - 340 pages
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelngram,which shall be equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB he the given straight line, and C the given triangle, and... | |
| 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,...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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| William Pease - 1856 - 108 pages
...PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG. Draw AD and BD... | |
| Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...shall contain a given angle; that is to say, a segment such, that any angle inscribed in it shall be equal to a given angle. Let AB be the given straight line, and C the given angle. D Produce AB towards D. At the point B, make the angle DBU=C; draw BO perpendicular... | |
| 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,...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.... | |
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