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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 two books of the Elements of Euclid, with additional figures ... - Página 67
por Euclides - 1852
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## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 páginas
...and having one of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required to apply to (that is, to describe upon) the straight line AB, a parallelogram equal to the triangle C,...
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## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 334 páginas
...the same parallels BC, AE ; the parallelogram ABCD is double of the triangle EBC. 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. Let ABC be the given triangle, and D the...
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## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 páginas
...can be described on the same base and between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to...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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## Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 páginas
...and 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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## Report of Her Majesty's Civil Service Commissioners: Together with ..., Volumen3

1858 - 398 páginas
...of the last proposition. 5. PUOP. XLIV. — 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. 6. The quadrilateral figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP....
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## Parliamentary Papers, Volumen25

Great Britain. Parliament. House of Commons - 1858 - 694 páginas
...of the last proposition. 5. PROP. XLIV. — 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. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP....
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## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 páginas
...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 ..., Volumen1

Euclides - 1868 - 88 páginas
...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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## Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 páginas
...given line BC. (31. I.) In practice, the parallel ruler, or the triangular square, is used. PROB. 11. 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. By 10. I. bisect BC in E ; by...
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## Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 páginas
...by the two sides equal to them of the other. 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 right angle. What is such a parallelogram called \ 3. Prove one case only of the following proposition,...
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