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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. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Side 42
av John Playfair - 1806 - 311 sider
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...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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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 sider
...the base are equal. 2. Parallelograms upon the same base and between the same parallels are equal. 3. To a given straight line to apply a parallelogram,...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 - 252 sider
...exterior 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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National Society's Monthly Paper

1856 - 376 sider
...te base are equa. 2. Parallelograms upon the same base 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, ve one of its anles eual to a iven rectilineal anle. . o rag ne o appy a paraeogra have one of its...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1856 - 346 sider
...; therefore the remaining complement BK is equal to the remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelogram,, which shall be equal to a given triangie, and have one of its angles ejual to a given rectilineal angle. Let AB be the given straight...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 sider
...and 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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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858 - 694 sider
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PROP. XLIV. — To a given straight line to apply a parallelogram,...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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858 - 398 sider
...two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — To a given straight line to apply a parallelogram,...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...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 ..., Volum 1

Euclides - 1868 - 88 sider
...P. 34. 4 5 P. 34. 6 D. 45. 7 Ax. 2. 8 D. 2. 9 Ax. 3. SCHoL. 10 Recap. PROP. XLIV. PHOB. To a given line to apply a parallelogram which shall be equal to a given triangle, and liavi of its angles equal tu a given angle. SOL. P. 42. 31. Pst. 1.2. DEM. P. 29. Ax. 9. 12. P. 43,...
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