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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 Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 99
by Euclides - 1847
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QEM PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...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...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...equal.* Wherefore, if through any point, &c. PROP. XLIV. PROB. — To a given straight line to applyt a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let AB be a given straight line, C a given triangle, and D a given angle. It is requiredto apply...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...equal to the remainder, the complement KI). Wherefore, The complements <Ję, 4, EB PROP. XLIV. PROD. To a given straight line to apply a parallelogram,...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply...equal to a given triangle, and have one of its angles ejuat to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 166 pages
...p. 34 ; (c) ax. 7. 42 P. To describe a parallelogram that shall be equal to a given triangle (ABC,) and have one of its angles equal to a given rectilineal angle (D). Bisect BC in E (a) ; join AE, and at the point E, in the straight line EC, make the angle CEF...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclid - 1848 - 52 pages
...parallelograms, which are about the diameter of any parallelogram, are equal to one another. PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having an...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 388 pages
...equal bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. Prove that if the square described upon one of the sides of a triangle be equal to the squares described...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...remaining complement BK is equal to the remaining complement KD. Wherefore the complements, 8tc. QED PROP. XLIV. PROB. To a given straight line to apply...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...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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...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 contained by...
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Papers for the Schoolmaster, Volume 2

1852 - 314 pages
...terminated at the other extremity. 2. The greater side of every triangle is opposite the greater angle. 3. To a given straight line to apply a parallelogram,...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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