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" 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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 38
by Robert Potts - 1860 - 361 pages
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...parallelogram equal to a given retilineal figure, and having an angle equal to a given rectifineal angle.* Let ABCD be the given rectilineal figure,...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...rectilineal figure, and haeing an angle equal to a gieen rectilineal angle. First let ABCD be a four-sided 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. Draw DB ; and describe* the parallelogram FH equal to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...C, having the angle ABM equal to the angle D. Which was to be done. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure,...to describe a parallelogram that shall be equal to ABCD, and have an angle equal to E. •42.1. Join DB; and describe* the parallelogram FH equal to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...parallelogram ABML will be a rectangle equivalent to the triangle C. ' PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure,...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...has the angle ABM equal to the angle D. QEF PROP. XLV. PROB. To describe a parallelogram equivalent to a given rectilineal figure, and having an angle...angle : it is required to describe a parallelogram equivalent to ABCD, and having an angle equal to E. Join D,B, and describe (42. l.)the parallelogram...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...the angle ABM equal to the angle D. Which was to be done. PROPOSITION XLV. PROB. — To describe a parallelogram equal to a given rectilineal figure,...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. Join DB, and describe* the parallelogram FH equal to...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...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 that shall be equal to the given triangle ABC, and have one of its angles equal to D. MEG Bisect BC in E, (i. 10.) and join AE;...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...l, and 1. 34, cor. 3) to the triangle C, the rest of the construction will proceed a» ln the text. to a given rectilineal figure, and having an angle equal to a given angle. Let ABCD be a given rectilineal figure, and E a given angle. It is required to describe a parallelogram...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...equal to the triangle C, and has the angle ABM equal to the angle D. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure,...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...to the triangle C, and having the angle ABM equal to the angle DQEF PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal Let ABCD be the given rectilineal figure, and E the given rectilineal angle : it is required to describe...
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