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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. "
Elementary Geometry: Plane - Σελίδα 195
των James McMahon - 1903 - 358 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...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 angle at C the given rectilineal angle...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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 an...

Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 456 σελίδες
...that shall contain an angle equal to a given angle. Let AB be a straight line, on which it is required to describe a segment of a circle containing an angle equal to C. If C be a right angle, it is evident that the problem will be performed, by describing a semicircle...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...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 angle at C the given rectilineal angle...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 σελίδες
....AF=GB. (13.) To draw a straight line which shall touch a given circle, and make with a given line, an angle equal to a given angle. Let AB be the given line, and O the centre of the given circle. From any point A in the given line, draw AC making with it an angle...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 σελίδες
...AF= GB. (13.) To draw a straight line which shall touch a given circle, and make with a given line, an angle equal to a given angle. Let AB be the given line, and O the centre of the given circle. From any point A in the given line, draw AC making with it an angle...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...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 angle at C the given rectilineal angle;...

The Element of Geometry

John Playfair - 1836 - 148 σελίδες
...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...angle equal to a given angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 σελίδες
...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...angle equal to a given angle. Let AB be the given straight line, and C the given angle; it is required to describe on AB a segment of a circle, containing...

Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 σελίδες
...angle 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 angle...




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