 | Education - 1852 - 512 pages
...together with four right angles, are equal to twice us many right angles as the figure has sides. 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 squares... | |
 | Euclides - 1853 - 146 pages
...BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. To a given straight line to apply a parallelogram,...triangle, and have one of its angles equal to a given rectilineal Let AB be the given straight line, and C the given triangle, and D the given rectilineal... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...Ax.) to the remaining complement KD. Wherefore the complements, etc. (i. ED PROPOSITION XLIV. PROB. To a given straight line to apply a parallelogram,...triangle, and have 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... | |
 | Euclides - Geometry - 1853 - 176 pages
...Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. LET abС be the given triangle, and d the given rectilineal angle. It is required... | |
 | Charles Davies - Geometry - 1854 - 436 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. BOOK III. 85 M Produce AB towards D. At the point B, make the angle DBE=C; draw... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...equal, л the complements, &c. QED PROPOSITION XLIV.— PJIOBLEM, To a givenßnile straight 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). Make the parallelogram В F = triangle... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...PROP. LII. Upon a given straight line* to construct a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line; and through the point A draw the straight line AC making with AB the angle BAC equal to the given angle... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 3. To a given straight line to apply a parallelogram...triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the... | |
 | 1855 - 264 pages
...which eir two sides terminated at one extremity of the ba sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram...triangle, and have one of its angles equal to a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square... | |
 | Robert Potts - 1855 - 1050 pages
...line, and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If... | |
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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. 
