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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1860 - 332 pages
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROS. To a given straight line to apply a parallelogram,...equal to a given triangle, and have one of its angles e-pial to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 pages
...Prove also that the diameters of a parallelogram bisect each other. 7. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...the other two sides of the triangle, but shall contain a greater angle. 2. To a given straight line apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. 4. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 128 pages
...upon the other two sides of it the angle contained by these two sides is a right angle. 2. Describe a parallelogram which shall be equal to a given triangle,...of its angles equal to a given rectilineal angle. VOL╬TNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve the following equation...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...remaining- complement XX>. (ax. 3.) Wherefore, the complements, &c. QE T>. PROP. XLIV.— PROBLEM. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. (References — Prop. i. 15, 29, 31, 42, 43 ; ax. 9. 12.) Let AB he the given straight line, and C...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863 - 72 pages
...be found, equal to it, and having one side EK, equal to a given line. PKOP. 44.— PROS. To a given line to apply a parallelogram which shall be equal...triangle, and have one of its angles equal to a given angle. SOL.— P 42, P. 31, Pit. 1, Put. 2.— Dot.— P. 29, Ax. 9, Ax. 12, P. 43, Ax. 1, P. 15. E....
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...the same base, and between the same parallels, are equal to one another. 6. To a given straight line apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. 7. If the square described upon one of the sides of a triangle be equal to the squares described upon...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XL1V. 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 Cthe given triangle, and D the given rectilineal angle. It is...
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Guide to the Civil service

Henry White - 1864 - 156 pages
...selected Mathematics as a subject of examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...
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