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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 40
av Euclid, James Thomson - 1837 - 390 sider
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 sider
...shall contain a given angle; that is to say, a segment such, that any angle inscribed in it shall be equal to a given angle. Let AB be the given straight line, and C the given angle. BOOK III. 85 M Produce AB towards D. At the point B, make the angle DBE=C; draw...
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National Society's Monthly Paper

1855
...extremity of the ba sides 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...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855
...line, 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...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...parallelogram, equal to a given triangle, 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...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...remaining complement KD. PROP. XLIV. PROB. To a given straight line to apply a parallelngram,which shall be equal to a given triangle, and have one of its angles ejual to a given rectilineal angle. Let AB he the given straight line, and C the given triangle, and...
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 sider
...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, 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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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,...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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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A course of practical geometry for mechanics

William Pease - 1856
...PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG. Draw AD and BD...
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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - 1857 - 448 sider
...shall contain a given angle; that is to say, a segment such, that any angle inscribed in it shall be equal to a given angle. Let AB be the given straight line, and C the given angle. D Produce AB towards D. At the point B, make the angle DBU=C; draw BO perpendicular...
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