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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 Two Books of the Elements of Euclid ... with Additional Figures ... - Pagina 67
door Euclides - 1852
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pagina’s
...complements <J«, 4, EB PROP. XLIV. PROD. 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 angle : it is...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 pagina’s
...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 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 - 1846 - 166 pagina’s
...triangle EBC (c). Therefore, if a parallelogram, &c. Recite (a) p. 37 ; (b) 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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pagina’s
...perimeter of the gn. A ABC. — QEF ' PROP. XLII. PROB. GEN. ENUN. — To describe 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 ABC be the the gn. rectilineal Z. ; then it is required to describe a D m = A...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pagina’s
...between the same parallels ; the parallelogram shall be double of the triangle. PROP. XLII. PROBLEM. To describe a parallelogram that shall be equal to...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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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 pagina’s
...Prove that parallelograms upon equal bases and between the same parallels are equal to one another. 2. Describe a parallelogram that shall be equal to a...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 pagina’s
...the complements, 8tc. 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 angle. It is required...
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Papers for the schoolmaster, Volume 3

1867 - 336 pagina’s
...trapezium has 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 - 382 pagina’s
...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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Papers for the Schoolmaster, Volume 2

1852 - 316 pagina’s
...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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