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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. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 144
by Francis Joseph Grund - 1834 - 190 pages
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...segment of the circle, (ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...is an angle in the remote 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...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...rent / DBE -J rem - ^BCD, in the I ( III • /_ J f-fl-J — \ 1, T\/~T* PROP. LXI. PROB. 33. SEU. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /.; it is required...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...= 2 rt. /. s, in the ' ~\ altern. seg. DCB. Wherefore if a str. line, &c. PROP. LXL PROB. 33. 3Eu. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /_ ; it is required...
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An Introduction to Geometry and the Science of Form: Prepared from the Most ...

Anna Cabot Lowell - Geometry - 1846 - 216 pages
...accuracy of the first observation will be tested. 233. Upon a given straight line to describe a segment which shall contain a given angle ; that is, a segment such that the angle having its vertex in the arc, and its sides standing upon the extremities of the segment, shall...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1846 - 332 pages
...angle DBE is equal to the 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...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...DCB in the alternate segment 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...
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A Treatise on Military Surveying: Including Sketching in the Field, Plan ...

Basil Jackson - Military reconnaissance - 1847 - 412 pages
...depend, however, upon a single geometrical problem, namely, that by which we are enabled upon a given line to describe a segment of a circle, which shall contain a given angle. That this is necessary the following observations will show : — Two objects can only be seen under the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...shall be equal to the angles which are in the alternate segments of the circle. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...angles of a triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From the point C, where...
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