 | Euclides - 1853 - 146 pages
...complements, &c. QED PROP. XLIV. PEOBLEM. 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 Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It... | |
 | Euclides - Geometry - 1853 - 334 pages
...was to be proved. PEOP. XLIV. PEOB. 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 angle. Let AB be the given straight line, c the given triangle, and D the given angle. It is required... | |
 | 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 - 940 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... | |
 | Thomas Lund - Geometry - 1854 - 522 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... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...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,...angle. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to D. Make (42. 1.) the parallelogram... | |
 | John Playfair - Geometry - 1855 - 334 pages
...given triangle, and have one of its angles eyual to a given rectilineal angle. Let AB be the givea straight line, and C the given triangle, and D the...angle. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to D. Make (42. 1.) the parallelogram... | |
 | 1855 - 264 pages
...equal to the the base of the other. 3. 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. of the whole line is equal between the points of section. 3. To describe a square that shall be equal... | |
 | Robert Potts - 1855 - 1050 pages
...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 a point be taken within... | |
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