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" Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle. "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Page 396
by Robert Mudie - 1836 - 496 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIH. PROB. 10. 1. b 31. 3. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...circle, shall be equal to angles which are in the alternate segments of the circle. Prop. XXX11I. Prob. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angleProp. XXXIv' Prub. Tocut off a segment from a...
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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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 348 pages
...the alternate segment of the circle. Wherefore, if a straiget line, &c. Q,. ED" PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the alternate segment of the circle. Wherefore, if a straight line, &c. QED B PROP. XXXIII. PROB. ' UPON a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle* Let AB be the given straight line, and the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1058 pages
...the alternate segment of the circle. Wherefore, if a straight line, Ясс. a ED Proposition XXXIII. Problem. Upon a given straight line to describe a segment of a circle ооьFIVMKMs oK KI7CLID. т>\ *iimeal nngle ; it is required to ciesi'ribe upon the given straight...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle BAD* equal to...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle BAD" equal to...
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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 the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - Geometry - 1828 - 180 pages
...therefore equal to the given angle G; that is, the segment AfiB, will contain the angle required. \f § 52. PROBLEM. Upon a given straight line to describe a segment of a circle that shall contain a given angle at the circumference. APPLIC. Let AB, be the given straight line and...
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