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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 40
av Euclid, James Thomson - 1837 - 390 sider
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...3.) Wherefore the complements, &c. QED PROPOSITION 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. Let AB be the given straight line, and C the given triangle, and D the given rectilineal...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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...
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Guide to the army - competitive examinations

Alexander Hadden Hutchinson - 1861 - 100 sider
...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, and have one of its angles equal to a given rectilineal angle. VOLÎTNTAEY Ровтгозг. 1. Describe a circle about a given triangle. 2. Solve...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...one side of it, are either two right angles or are together equal to two right angles. 2. Describe a parallelogram which shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle. VOLUNTARY PORTION. 1. About a given circle describe a triangle equiangular to a...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...Therefore, the complements, &c. QED PROPOSITION 44.— 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. (References— Prop. I. 15, 29, 31, 42, 43; ax. 1, 9, 12.) Given. — Let AB be...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...1) Therefore if a parallelogram, &c. QED 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. (References — Prop. i. 10, 23, 31, 38, 41; ax. 6; def. i. 34.) Let ABC be the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 490 sider
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that ahull contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle; draw...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1862 - 490 sider
...PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw...
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Responsions

University of Oxford - 1863
...angles of every triangle are together equal to two right angles. 11. 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 angle. vAlgebra. 1. Collect the coefficients of CK, y, z in ax + b(c— a)y + (a— b}z—...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...radius and of the semi-circumference. PROP. 42. — PROB. To describe a parallelogram that shall lie equal to a given triangle, and have one of its angles equal to a given rectilineal angle. SOL.— P. 10,Pst. 1, P. 23, P. 31, Def. A.— DEM.-P. 38, P. 41, As. 6. Given the...
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