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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The first six books of the Elements of Euclid, with numerous exercises - Page 27
by Euclides - 1853 - 147 pages
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

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...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

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...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

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...
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The popular educator, Volumes 5-6; Volume 8

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...
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Elements of geometry and mensuration

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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

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...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

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...
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National Society's Monthly Paper

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...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

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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