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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 42
by John Playfair - 1806 - 311 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...EBC. therefore if a parallelogram, &c. Q^ED PROP. XLII. PROB. D defcribe a parallelogram that fhall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilinesl angle. It is required to defcribe a parallelogram...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...t. b ai. t. c 31. .. •J 38. t. e + t. AF PROP. XLII. PRO B. TO deferibe a parallelogram that fhall be equal to a given triangle, and have one of its angles equal tot a given re&ilineal angle. Let ABC be the given triangle, and D the given re&ilineal angle. It is...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...complements, &c. Q^ ED PROP. XLIV. PRO B. TO a given ftraight line to apply a parallelogram, which ftiall be equal to a given triangle, and have one of its angles equal to a given reftilineal angle, Let AB be the given ftrai^ht 'me> and C the given triangle, and D the given rectilineal...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...Therefore, if a parallelogram, &c. QE D PROP. XL1I. PROS. TO dV fcribe a parallelogram that fhall br equal to a given triangle, and have one of its angles equal to a given redilineal angle. Let ABC be the given triangle, and D the given rectilineal angle It is n quired to...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...PROP. XLII. To make a parallelogram equal to a given triangle, in a given rectilineal angle. Let ABC be the given triangle ; and D the given rectilineal angle : it is required to make a parallelogram equal to the triangle ABC, in a rectilineal angle equal to D. Let BC be cut in...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...the triangle EBC. parallelogram, &.c. Q^ED PROP. XLII. PROB. TO defcribe a parallelogram that lhall be equal to a given triangle, and have one of its angles equal to a given rectilineal ancrle. Let ABC be the given triangle, and D the given reflilineal angle : It is required to deicribe...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...tp it To make a parallelogram that fhall have its oppofite fides equal to two given right lines, and one of its angles equal to a given rectilineal angle, Let AB and c be two given right lines, and D a given reftilineal angle ; it is required to make a parallelogram...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...parallelogram, &c. Q^ED PROP. XLII. PROB. b. 23. i. c, 3i. i. TO defcribe a parallelogram that fhall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to defcribe a parallelogram...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...Therefore, if a parallelogram, fcc. QED PROP. XLII. PROB. % * • TO describe a parallelogram that shall be equal to a given triangle, and have one of...its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...complement BK is equal to the remaining complement KD. Wherefore the complements, &c. QED PROP. XLIV. PROB. TO a given straight line to apply a parallelogram,...the given straight line, and C the given triangle, md O the given rectilineal angle. It is required to apply to the straight line AB a parallelogram equal...
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