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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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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...that nm LB — A c, 2. that £ ABM = Z D. PROPOSITION XLV. Problem. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. BCKHM In the construction of the figure it is necessary to show, — 1. that Z FKH...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...has the angle ABM equal to the angle D. PROPOSITION 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....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...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, and having an angle equal to a gr+en rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 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...having an angle equal to E. Join DB, and describe (42. 1.) the parallelogram FH equal to the triangle ADB, and having the angle HKF equal to the angle...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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 the triangle ADB, and having the angle FKH equal...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...ABM equal to the angle D. Which was to be done. PROP. 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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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 equal to a given rectilineal angle. Let ABCD be the given rectilineal figure, and E the given rectilineal angle : it...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...will be a rectangle equivalent to the triangle C. ' PROP. 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...having the angle ABM equal to the angle DQEF PROPOSITION 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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