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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 Copious ... - Seite 93
von Sir John Leslie - 1817 - 432 Seiten
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 Seiten
...the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing an angle equal to a given angle. PROP. XXXIV. PROB. To cut off from a given circle a segment which shall contain a given...
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Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 Seiten
...to Z. ADB or the angle in the alternate segment. PROP. XXXIII. PROB. Upon a given straight line (AB) to describe a segment of a circle containing an angle equal to a given angle (v). If the given angle be a right angle, bisect the given line, and with its middle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...angle BCD in the alternate segment of the circle. J> 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...of the circle. Wherefore, if a straight line, &c. QED 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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...segment ACB. If, therefore, a straight line, &c.* PROP. XXXIII. PROR. — 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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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 168 Seiten
...8, 1; (d) cor. 31, 3; (c) ax. 3, 1; (/)p. 22, 3; (?) p. 13, 133 P. Upon a given straight line (AB), to describe a segment of a circle, containing an angle equal to a given rectilineal angle (C). In every case, whether the given angle C be right, or oblique, bisect...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 Seiten
...angle BCD in the alternate segment of the circle. 82 PROP. XXXIII. PROS. 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, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...of the circle. Wherefore, If a straight line %c. QED 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 C the given rectilineal angle : it...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...of the circle. Wherefore, if a straight line, &c. QED 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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AS be the given straight line, and the angle C the given rectilineal...
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