 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...EBC. Therefore, if a parallelogram, etc. QED PROPOSITION XLIL PROB. 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 ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | 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 to describe a parallelogram... | |
 | Euclides - Geometry - 1853 - 334 pages
...and having one of its angles ABN equal to the given angle D. Which was to be done. PEOP. XLV. PEOB. To a given straight line to apply a parallelogram which shall be equal to a given polygon, and have an angle equal to a given angle. I. Let the polygon have four sides. Let AB be the... | |
 | Euclid - Geometry - 1853 - 176 pages
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle... | |
 | Popular educator - 1854 - 922 pages
...of its angla equal to a given rectilineal angle. In fig. 44, let A n be the given straight line, с the given triangle, and D the given rectilineal angle. It is required to apply to (that is, to describe upon) the straight line А в, а parallelogram equal to the triangle c, and... | |
 | 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
...given ttraight line to draw another straight line making nith the former an angle equal to a given angle. Let AB be the given straight line, and C the given point Through C draw CD parallel to AB. From C draw CE making with CD the angle DCE equal to the given... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...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 BO perpendicular... | |
 | 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...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 that shall be equal... | |
 | 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...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 whole line is equal... | |
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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. 
