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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 32
by Euclides - 1834
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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 First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG...
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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
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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

John Playfair - Euclid's Elements - 1835 - 336 pages
...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 ...

Mathematics - 1836 - 366 pages
...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...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 Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 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. Produce AB towards D ; at the point B, make the angle • DBE = C ; draw BO perpendicular to...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...ABCD is also double of the triangle EBC. PROPOSITION X.LII. 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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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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