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" To describe a parallelogram that 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 Errors, by which Theon, Or Others, Have ... - Seite 45
von Robert Simson - 1775 - 520 Seiten
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 Seiten
...demonstrate these Fig. 2. 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. PART. ENUN. — Let AB be the gn. st. line, c the gn. A, D the gn. rectilineal Z; then it is required...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 388 Seiten
...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 definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...parallelogram shall be double of the triangle. PROP. 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. PROP. XLIII. THEOREM. The complements of the parallelograms, which are about the diameter of any parallelogram,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...BBC. Therefore if a 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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Minutes of the Committee of Council on Education, Band 1

Great Britain. Committee on Education - 1850
...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 by...
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Papers for the schoolmaster, Band 3

1867 - 336 Seiten
...two of its opposite sides parallel. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and 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
...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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Papers for the Schoolmaster, Band 2

1852 - 314 Seiten
...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 - 148 Seiten
...EEC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. 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 English Journal of Education, Band 6

1852 - 508 Seiten
...right angles as the figure has sides. 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. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line,...
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