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" Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ... - Page 42
by Euclid, Robert Potts - 1847 - 383 pages
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A Treatise on Mechanics: Intended as an Introduction to the Study of Natural ...

Bewick Bridge - Mathematics - 1814 - 630 pages
...pairs of forces which should always act at some given angle to each other, then upon AB(Euc. 33. 3.) describe a segment of a circle which shall contain an angle equal to the given ^ angle, and the number of pairs of forces into which the given force can be resolved will be limited to the...
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A Treatise on Mechanics: Intended as an Introduction to the Study of Natural ...

Bewick Bridge - Mathematics - 1814 - 622 pages
...pairs of forces which should always act at some given angle to each other, then upon AB (Euc. 33. 3.) describe a segment of a circle which shall contain an angle equal to the given 2 If angle, and the number of pairs of forces into which the given force can be resolved will be limited...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...equal to the three angles of the triangle. PROPOSITION XXXIII. PROBLEM. Upon a given right line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Let A в be a given right line, and ca given rectilineal angle. It is required...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...equal to the three angles of the triangle. PROPOSITION XXXIII. PROBLEM. Upon a given right line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Let A'B be a given right line, and ca given rectilineal angle. It is required...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...angle at C the given rectilineal angle ; it is required to describe upon the given straight line AB a segment of a circle, which shall contain an angle equal to the angle C. First, let the angle at C be a right angle : bisect * AB in F, and from the * 10- 1centre...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...ADC in the alternate segment ADC. ED. B « PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle ; that is, to describe a segment such that all the angles described in it...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...ingenuity, in problems of contact. PBOP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...angle at C the given rectilineal angle ; it is required to describe upon the given straight line AB, a segment of a circle, which shall contain an angle equal to the angle C. First, let the angle at C be a right angle ; • 10. 1. bisect * AB in F, and from the centre...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...ingenuity, in problems of contact. PROP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...case of less. 11. We are now prepared to solve the following problem : Upon a given straight line, to describe a segment of a circle, which shall contain an angle equal to a given angle. This problem is often of much service, to those who are handy with a pair of compasses,...
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