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

John Playfair - Circle-squaring - 1819 - 350 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...to the angle D : Which was to be done. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...ABCD be the given reetilineal figure, and E the given reetilineal angle. It is required to deseribe a parallelogram equal to ABCD, and having an angle equal to E. Join DB, and deseribe (42. 1.) the parallelogram FH equal to the triangle ADB, and having the angle 11K.F equal...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...equal to the given rectilineal 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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

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

Robert Simson - Trigonometry - 1827 - 546 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. JoinDB; and describe* the parallelogram FH equal to the triangle ADB, and having the angle FKH equal...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 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 G triangle ADB, and having the angle HKF equal to the angle...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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 a the parallelogram FH equal to the a 42. l. triangle AD B, and having the angle HKF equal to the angle...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...the angle ABM equal to D : which was to be done. PROP. XLV. PROB. To describe a parallelogram equal to a given rectilineal figure, and having an angle...It is required to describe a parallelogram equal to A BCD, and having an angle equal to E. Join DB, and describe (I. 42.) the parallelogram FH equal to...
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