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" To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 99
by Euclides - 1847
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...of the parallelograms which are about the diameter of any parallelogram, arc equal to one another. Prop. XLIV. Prob. To a given straight line to apply...of its angles equal to a given rectilineal angle. Prnp. XLV. Prob. To describe a parallelogram equal to a given rectilineal figure, and having an angle...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 558 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, 8cc. QED >ROP. XLIV. PROB. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - 1814 - 568 pages
...and also one more : we are " to apply a parallelogram to a given straight line, which parallelogram shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle;" to " apply a parallelogram to a straight line," means to make it on that straight line, or so that...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...complement BK is equal to the remaining complement KD. Wherefore, the complements, &c.. Q, E. I). A PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply...have one of its angles equal to a given rectilineal anglef Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle....
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...be demonstrated that EK is a square. PROP. XLIV. PROB. Fig. 64. See 2f. To a given right line ( OS) to apply a parallelogram, which shall be equal to a given triangle and have an angle equal to a given one ( V). Let the given triangle be GHO, one of whose sides GO and the given...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...equal to the remaining complement KD. Wherefore the complements, &c. QED Proposition XLIV. Problem. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and С the given triangle, and D the given rectilineal angle. It...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...remaining eomplement BK is equal to the remaining eomplement KD. Wherefore, the eomplements, &e. QE 1). PROP. XLIV. PROB. To a given straight line to apply a parallelogram, whieh Shall be equal to a given triangle, and have one of its angles equal to a given reetilineal angle....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...remaining complement BK, is equal f to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...
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