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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. "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Página 69
por Euclides - 1874
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 páginas
...triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let ABC be a given triangle, and D a o.iven rectilineal angle. It is required to make a parallelogram equal to...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 páginas
...triangle, &c. QED PROPOSITION XLII. PROBLEM. To make a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal, angle, Let ABC be a given triangle, and D a given rectilineal angle. It is required to make a parallelogram equal to...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 páginas
...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 C the given triangle, and D the given rectilineal angle. It is required...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 páginas
...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 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 is required...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 páginas
...wherefore ABCD is also double of the triangle 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 ...

Euclid - 1835 - 540 páginas
...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 C the given triangle, and D the given rectilineal angle. It is required...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 páginas
...rectangle. PROP. XV. PROB. To a given straight line to apply a parallelogram, which shall be equivalent to a given triangle, and have one 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 is required...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 páginas
...their common diameter is equal to twice its radius. 39. Define a parallelogram. Describe one which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 40. Describe a square about a given circle. SECTION II. QUESTIONS IN ARITHMETIC AND ALGEBRA, NOT INCLUDING...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...complement KD. 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 C the given triangle, and D the given rectilineal angle. It is required...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 páginas
...shall be double of the triangle. Proved by showing that C3m BD = 2 A ABC, which = 2 A EBC. PROPOSITION Problem. To describe a parallelogram, that shall be...equal to a given triangle, and have one of its angles to a given rectilineal XLII. Steps of the Demonstration. 1. Prove that whole A ABC = 2 A ACE, 2. that...
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