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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 Six Books of the Elements of Euclid: And Propositions I-XXI of ... - Seite 63
von Euclid, John Casey - 1885 - 312 Seiten
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 Seiten
...242. PROBLEM i6.x TO defcribe a Parallelogram 1£'20' that ßall be equal to a given Triangle ABC, and have one of its Angles equal to a given Angle D. \ » zz6. CONSTRUCTION. Bifect a BC in E, (and join AE) and at the Point E, in the Line EC, make the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...complement KD. Wherefore, the complements, &c. QED ' ' ' PROP, XLIV. PRQB, 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. Let AB be the given straight line, and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. 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. Let AB be the given straight line, and...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1813 - 714 Seiten
...diameter of any parallelogram, arc equal to one another. Prop. XLIV. Prob. 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. Prnp. XLV. Prob. To describe a parallelogram...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 Seiten
...remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. 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. Let AB be the given straight line, and...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 Seiten
...remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. 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 anglef Let AB be the given straight line, and...
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The First Six Books with Notes

Euclid - 1822 - 222 Seiten
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...complement KD. Wherefore the complements, &c. QED Proposition XLIV. Problem. 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. Let AB be the given straight line, and...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. 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. Let AB be the given straight line, and...
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 542 Seiten
...whole parallelogram ; for each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) to apply a parallelogram...have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG equal to the given triangle C, and having the angle B equal...
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