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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 41
por Euclides - 1853
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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....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 páginas
...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, which shall be equal to u given triangle, and have one of its angles equal to u given rectilineal angle. Let AB be the given...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 páginas
...is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. jf 0 a given straight line to apply a parallelogram, which...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....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 páginas
...* 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...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,...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 páginas
...construction will apply to the problem : to make a triangle equivalent to a given 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...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 páginas
...centre from 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,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 páginas
...therefore trie remaining complement BK is equal to the remaining complement KD. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...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....
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...equal. f Wherefore, if through any point, &c. PROP. XLIV. PROB. To a given straight line to apply ta parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be the given straight line, C the given triangle, and D the given 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
...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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