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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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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...rhomboids any how combined. PROP. VIII. PROB. With a given straight line to construct a rhomboid equivalent to a given rectilineal figure, and having an angle equal to a given angle. Let it be required to construct, with the straight line L, a rhomboid, containing a given space,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...C, and has Jhe 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,...angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. , G ' Join DB, and describe (42. I.) the parallelogram...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...has the angle ABM equal to the angle D : Which was to be clone. v ' PROP. XLV,- PROB. To describe a parallelogram equal to a given rectilineal figure,...ABCD be the given rectilineal figure, and E the given rcctilir neal angle. It is required to describe a parallelogram equal to ABCl1 ^^. and ha/ving an angle...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...the angle ABM, equal to the angle D : Which was to be done. Proposition. XLV. Problem. 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. ELEMENTS OF EUCLID. to the straight line GH apply (44....
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...and having the angle FKM equal to the given angle EQEF Deduction. To a given right line to apply a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle.. PROPOSITION XLVI. PROBLEM.* Upon a given right line to describe a square. Let AB be the given right...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...and having the angle FKM equal to the given angle EQEF Deduction. To a given right line to apply a parallelogram equal to a given rectilineal figure,...having an angle equal to a given rectilineal angle. PROPOSITION XLVI. PROBLEM.* • 1i. i. point A the right line AC, at right angles to лв, " and b...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...Which was to be done. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal Jigure, and having an angle equal to a given rectilineal angle....angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E. JoinDB; and describe* the parallelogram FH equal to...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...C, and has 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,...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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...have one of its angles equal f angle. ' to a given rectilineal 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. Bisect (10. 1. )BCinE,join AE, and at the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...C, and has 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,...having an angle equal to a given rectilineal angle. Let A BCD be the given rectilineal figure, and E the given rectilineal angle. It is required to describe...
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