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" UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. "
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... - Pàgina 93
per Sir John Leslie - 1820 - 465 pàgines
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 pàgines
...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 angle at C the given rectilineal...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 522 pàgines
...angle equal to a given angle. Let AB be a straight line, on which it is required to describe a segment containing an angle equal to C. If C be a right angle,...if the angle C be either acute or obtuse : Draw AD making an angle BAD equal to C (I.4.), erect AE perpendicular to AD (I. 38.), draw EF to bisect AB...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 pàgines
...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 given circle which shall contain...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pàgines
...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 angle at C the given rectilineal...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pàgines
...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 angle at C the given rectilineal...
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The Element of Geometry

John Playfair - 1836 - 148 pàgines
...rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXV. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ;...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pàgines
...BCD in the alternate segment of the circle. PROPOSITION XXXIU/ PROBLEM. - 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 angle at C the given rectilineal...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 pàgines
...DBE = ZS BAD + BCD, 7- that Z DBE = Z BCD. PROPOSITION XXXIII. Problem. Upon a given straight line to describe a segment of a circle containing an angle equal to a given -^ * K rectilineal angle. The proof of case 1st, in which Z c is a right Z , is merely the...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pàgines
...remote segment ACB. If, therefore, a straight line, &c.f PROP. XXXIII. PROB. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle; it is required to describe...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 pàgines
...the circle. Wherefore, if a straight 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 angle at C the given rectilineal...
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