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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 ... - Side 41
av Euclides - 1853
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 sider
...within the other. It will be advisable for the student to demonstrate these Fig. 2. PROP. XLIV. PROB. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal angle. PART. ENUN. — Let AB be the gn. st. line, c the gn. A, D the gn. rectilineal Z; then it is...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...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,...have one of its angles equal to a given rectilineal angle. PROP. XLV. PROBLEM. To describe a parallelogram equal to a given rectilineal figure, and having...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 sider
...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...complement BK is equal to the remaining complement KD. Wherefore the complements, 8tc. 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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Minutes of the Committee of Council on Education, Volum 1

Great Britain. Committee on Education - 1850 - 790 sider
...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 contained...
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Papers for the Schoolmaster, Volum 2

1852 - 316 sider
...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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Papers for the schoolmaster, Volum 3

1867 - 336 sider
...opposite ones are eqnal, the trapezium has two of its opposite sides parallel. 2. To a given straight line apply a parallelogram, which shall be equal to a given...have one of its angles equal to a given rectilineal mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one...
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Annual Report of the Commissioners ...

1851 - 382 sider
...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...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 sider
...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,...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 English Journal of Education, Volum 6

1852 - 512 sider
...together with four right angles, are equal to twice us many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram...have one of its angles equal to a given rectilineal angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole...
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