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" To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD,... "
The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 36
by Euclid, James Thomson - 1845 - 352 pages
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...equal to the angle D. Which was to be done. PROP. XLV. — PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...equal to the angle D. Which was to be done. PROPOSITION XLV. PROB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...angle ABM =± D. Which was to be done. PROPOSITION. XLY.— PBOBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given angle (E). First, let the figure be a four-sided one, AB CD. Draw DB, and describe the » Pr. 42. parallelogram...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...there are 12, and in the second 2x6, or 12 also. PEOP. 45. — PEOB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. SOLUTION. — Pst. 1. A line may be drawn to join any two points. P. 42. To describe...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...straight line of unlimited length, from a given point without it. 2. Describe a paralellogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1. Draw a straight line to touch two given circles. 2. A ditch...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. VOLUNTARY PORTION. 1. Inscribe a circle in a given equilateral and equiangular pentagon....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe a parallelogram...equal to ABCD, and having an angle equal to E. Join D13, and describe (42. 1.) the parallelogram FH equal to the triangle ADB, and having the angle HKF...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 pages
...equal to a given rectilineal angle. Given the rectilineal figure ABCD, and the rectilineal angle E. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. (Const.) Join DB, and describe (I. 42) the parallelogram FH equal to the triangle ABD, and having the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...angle ABM _ual to the given angle DQEF PROPOSITION XLV. PROBLEM. To describe ft parallelogram equal to a. given rectilineal figure, and having an angle equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle. It...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. VOLUNTARY POETION. 1. Inscribe a circle in a given equilateral and equiangular pentagon....
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