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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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The Practical Teacher, Volume 3

Education - 1884 - 708 pages
...triangles upon the same base and on the same side of it are between the same parallels. Prop. 39, Bk. I. 3. To a given straight line to apply a parallelogram,...have one of its angles equal to a given rectilineal ancle. Prop. 44, Bk. I. Algebra. MALES. Answer two questions. I. When a = 3, = 7, find the value...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 pages
...the triangle TWV equals triangle SWV which has abase three times as great as the base WY. QEF 2. (a) To a given straight line to apply a parallelogram...given triangle and have one of its angles equal to that of the given triangle. (a) See Euclid I., proposition 44. (b) Let KLO be an equilateral triangle....
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...equal to one another and the diameter divides it into two equal parts. (9) 9 . Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10) 10. In a right-angled triangle, show that the...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...the ||m about a diagonal of any ||m equal in every respect ? On a given straight line to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required...
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Cambridge University Examination Papers

University of Cambridge - 1884 - 624 pages
...opposite sides and angles of parallelograms are equal to one another. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...Candidate will please state in writing the Geometry which he offers.] 1. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. <s, ,&r: '#. half ^hft line bisected ac/i of the square on the fine r.- i<> -.7- of *Jv* half awl...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...equal B c parts ; wherefore ABCD is also double of EBC. XLII. — 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. Bisect BC in E, join AE, and at the...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1884 - 154 pages
...perpendicular let fall upon it from the opposite angle, and the acute angle. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. In any right-angled triangle, the square described on the side subtending the right angle is equal...
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Examinations Papers

1884 - 610 pages
...are equal. 2. The opposite sides and the opposite angles of a parallelogram are equal. 3. Describe a parallelogram which shall be equal to a given triangle and have an angle equal to an angle of an equilateral triangle. 4. AB CD is a straight line. Prove that the...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...than the angle PCB, then will the angle PAC be greater than the angle PAB. 4. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 5. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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