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" 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. "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 160
by Miles Bland - 1819 - 377 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...rectangle contained by 2 CO and CE, ie to the given rectangle. And since AD = DB, and FD = .: AF= GB. (13.) To draw a straight line which shall touch a...where it meets the circle, draw EF parallel to DA ; EF is the line required. For being parallel to AC it is perpendicular to OD, and .-. a tangent to...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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 ; it is required to describe upon the...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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 on AB a segment of a circle, containing...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...&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 on AB a segment of a circle containing...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...and it will be the perpendicular required. PHOBLEM IV. At a given point in a straight line, to make an angle equal to a given angle. . Let AB be the given straight line, A the given point in it, and C the given angle ; it is required to make an angle at...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...PEOP. XXXIII. PEOB. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, and c the given angle. It is required on AB to describe a segment of a circle, which...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...AB. 137- PROP. XL. To draw a tangent to a given circle which shall also make with a given straight line an angle equal to a given angle. Let AB be the given straight line; take any point C in AB, and from C draw CD making with AB an angle equal to the given...
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A course of practical geometry for mechanics

William Pease - 1856 - 108 pages
...triangle. PROBLEM XXXVII. On a straight line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given straight line. 1. Make BAC equal to the given angle. 2. Make the angle ABC equal to the angle BAG....
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A Treatise on Surveying and Navigation: Uniting the Theoretical, Practical ...

Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...and (th. 4, b. 3). PROBLEM 13. On a given line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given line, and C the given angle. At the ends of the given line, make angles DAB, DBA, each equal to the given angle,...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...the circle. tie PROBLEM XIII. On a given line, to describe a segment of a circle, that shall contain an angle equal to a given angle. Let AB be the given line, and C the given angle. At the ends of the given line, form angles DAB, DBA, each equal to the given angle,...
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