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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 First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 40
av Euclid, James Thomson - 1837 - 390 sider
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 316 sider
...to the given straight line BC. PROP. XIV. PROB. To describe a parallelogram that shall be equivalent 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 ia required...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 sider
...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...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...PROP. XXV. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the given straight...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...equal to the remaining 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...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 sider
...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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Wherefore the complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite 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, C the given triangle, and D the given rectilineal...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1853
...greater side of every triangle is opposite to the greater angle. 3. 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. Sec/ion 2. 1. If a straight line be divided into any two parts, the square of the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 sider
...complement KD. Wherefore 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 sider
...complement BK is equal to the remaining complement KD. 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 e-jual to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...if a parallelogram, &c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equivalent to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB c be the given triangle, and D the given rectilineal angle : it is required...
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