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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 39
by John Playfair - 1835 - 316 pages
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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 first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...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 pages
...another. PROP. XLIV. PROBLEM. 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. 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 - 390 pages
...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
...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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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...angle; that is to say, a segment such, that all the angles inscribed in it, shall be equal to the given angle. Let AB be the given straight line, and C the given angle. 1L, \ E OProduce AB towards D; at the point B, make the angle DBE=C; draw BO perpendicular to...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...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, Volume 3

1867 - 336 pages
...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 pages
...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 pages
...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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