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" To describe a parallelogram that 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, with numerous exercises - Page 27
by Euclides - 1853 - 147 pages
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...Therefore, if a parallelogram, &c. Q ED Proposition XLI1. Problem. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1826 - 326 pages
...EBC. Therefore, if a parallelogram, Łe. QED PROP. XLII. PROB. To deseribe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a givea reetilineal angle. Let ABC be the giyen triangle, and D the given reetilineal angle* D C It is...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...given triangle, and having an angle equal to a given rectilineal angle, Let AB be the given right line, c the given triangle, and D the given rectilineal angle. It is required to the right Tine AB to apply a parallelogram equal to the given triangle с, and having an angle equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...Conslr. * 38. 1. •41.1. t6 Ax. t Constr. PROP. XLII. PROB. To descr1be 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 a given triangle, and D the given rectilineal angle. It is required to describe a parallelogram...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...; that is to say, a segment such, that all the angles inscribed in it, shall be equal to the given angle. Let AB be the given straight line, and C the given angle. IMC, GE Produce AB towards D ; at the point B, make the angle DBE=C ; draw BO perpendicular...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall he equal to a given triangle, and have one of its angles...angle. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to D. Make \42. 1.) the parallelogram...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...done. PROPOSITION XXIII. PROBLEM. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A the given point in it, and DCE the given rectilineal angle; it is required to make an angle at the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal f angle. ' to a given rectilineal Let ABC be the given triangle, and D the given rectilineal angle....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...* parts ; wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED 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 - 1835 - 540 pages
...the triangle EBC. parallelogram," &c. 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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