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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 29
von Euclides - 1853 - 147 Seiten
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...the trapezoid. PROP. XLII. PROBLEM. To describe a parallelogram 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...
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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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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 Seiten
...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
...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 Seiten
...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 references ..., Band 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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 Seiten
...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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Government examinations, a companion to 'Under government' and a key to the ...

Joseph Charles Parkinson - 1860
...last proposition. 5. PBOP. 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. PEOP....
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...the last proposition. 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. The quadrilateral figures whose diameters bisect each other is a parallelogram. BOOE IL PROP. VI. —...
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