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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 and Conic Sections

Elias Loomis - 1849 - 226 sider
...will be the perpendicular required. PHOBLEM IV. At a given point in a straight line, to make an angle equal to a given angle. . Let AB be the given straight line, A the given point in it, and C the given angle ; it is required to make an angle at the point A in...
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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850
...two sides terminated at the other extremity. 2. To a given straight line to apply a ]>aral!t'logram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be bisected and produced to any point, the rectangle...
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Annual Report of the Commissioners ...

1851
...the line on which they stand, ...... 2. To a given straight line to apply a parallelo— 18 1 gram, which shall be equal to a given triangle, and have one of its angles equal to a given angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the whole...
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Papers for the Schoolmaster, Volum 2

1852
...greater side of every triangle is opposite 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 * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...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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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...Wherefore the complements, etc. (i. ED PROPOSITION 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, C the given triangle, and D the given rectilineal...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853
...double of the triangle EBC. Which was to be proved. PEOP. XLII. PEOB. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be the given triangle, and D the given angle. It is required to describe a parallelogram that shall...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PEOBLEM. 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 Let AB be the given straight line, and C the given triangle, and D the given rectilineal...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — 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 abС be the given triangle, and d the given rectilineal angle. It is required...
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Elements of geometry and mensuration

Thomas Lund - 1854 - 192 sider
...PROP. LII. Upon a given straight line* to construct a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line; and through the point A draw the straight line AC making with AB the angle BAC equal to the given angle...
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