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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. "
Pure mathematics - Page 128
by Edward Atkins - 1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...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 that fhall be equal to the given triangle...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...ha,ve one of its angles equal to a given rectilineal angle. Let AB be the given ftraight line, and C the given triangle, and D the given rectilineal angle. It is required to apply to the ftraight line AB a parallelogram equal to the triangle C, and having an angle equal to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...XLII. PRO B. r I "'O defcribe a parallelogram that fhall be equal to ,*, a given triangle, and have one of its angles equal to a given rectilineal angle....and D the given rectilineal angle. It is required to deferibe a parallelogram that fhall be equal to the given triangle ABC, and have one of its angles...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...triangle. Which was to be demonftrated. PROP. XLII. To make a parallelogram equal to a given triangle, in a given rectilineal angle. Let ABC be the given triangle...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 First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...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 defer be a parallelogram that fhall be equal to the given triangle ABC, and have one of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...parallelogram that fliall be equal to a given triangle, and have one of its angles equal to a given redtilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to defcribe a parallelogram that fliall be equal to the given triangle ABC, and have one of its angles...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...have one of its angles equal to a given rectilineal angle. Let AB be the given flraight line, and C the given triangle, and D the given rectilineal angle. It is required to apply to the flraight line AB a parallelogram equal to the triangle C, and having an angle equal to...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...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....and D the given rectilineal angle. It is required to defcribe a parallelogram that fhall be equal to the given triangle ABC, and have one of its angles...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...i. PROP. XLII. PR OB. 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 redHlineal angle. It is required to defcribe a parallelogram that fhall be equal to the given triangle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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....triangle ABC, and have one of its angles equal to D. a 10. 1. Bisect * BC in E, join AE, and at the point E in the straight b 23. 1. line EC make b the...
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