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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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Pagina 36
di Robert Simson - 1804
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 pagine
...D PROP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and tfavt one of its angles equal to a given rectilineal angle....and D the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If a point be taken within...
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National Society's Monthly Paper

1855
...equal to the the base of the other. 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 a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square that shall be equal...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...equal to a given triangle, and having one of its angles equal to a given rectilineal angle. Let AB С be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram equal to the given triangle ABС, and having one of its angles equal to D....
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 pagine
...between the same parallels are equal. 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 a given rectilineal angle. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...angle is greater than either of the interior opposite angles. 4. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts, and also into...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...angles equal to a given rectilineal angle. P. 44. To a given line to apply a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. DEMONSTRATION. — Ax. 1. Magnitudes which are equal to the same, are equal to each other. Ax....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pagine
...consisting of 540, 510, 480, 390, 360 men respectively? 8. Define a parallelogram. 118 STAFF COLLEGE. a given triangle and have one of its angles equal to a given rectilineal angle. If two finite straight lines intersect and bisect each other, the straight lines joining their extremities...
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Skeleton propositions &c. of Euclid, books i and ii, with ..., Volume 1

Euclides - 1868
...Concl. 5 D. 2. 6 Recap. XLI. XLTI. . XLII. PRoB. To describe a parallelogram that shall be equal ti> a given triangle, and have one of its angles equal to a given rectilineal angle. I\ 10. Pst, 1. P. 23. 31. Def. A. DEM. P. 38. 41. Ax. G. Ezr 1 Data. 2 Quses. 1. „ 2. CoN. 1 P. 10....
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