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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. "
The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text, Based ... - Page 119
by Euclides - 1853
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General Report on Public Instruction in the Bengal Presidency

Education - 1843 - 570 pages
...figure be bisected by both its diagonals it is a parallelogram. 3. To describe upon a given right line a segment of a circle which shall contain an angle equal to a given rectilineal angle. The base, the vertical angle, and one of the other sides of a triangle are given...
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Report to the Trustees of the Dick Bequest for the Benefit of the ..., Volume 2

Church schools - 1844
...and likewise those which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe a segment of a circle which shall contain an angle equal to a given angle. 3. If two straight lines cut one another in a circle, the angle between them is half the sum of the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...to the locus may be put under the form, 4 xy tan il, - (a2— V*) sec2 ifi. 89. Join AB, and upon it describe a segment of a circle which shall contain an angle equal to the given angle. If the circle cut the given line, there will be two points ; if it only touch the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 to descr. on AB, a seg....
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 130 pages
...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 to descr. on AB, a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...to the locus may be put under the form, 4a;y tan <t> = (ai— 62) sec2 <p. 89. Join AB, and upon it describe a segment of a circle which shall contain an angle equal to the given angle. If the circle cut the given line, there will be two points ; if it only touch the...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...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 a segment which shall contain...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...the other, the part intercepted between the two circumferences may be equal to a given line. 23. Upon a given straight line to describe a segment of a circle, which shall be similar to a given segment of another circle. 24. To divide a given circular arch into two parts,...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 2. To describe a square which shall be equal to a given rectilineal figure. SECTION...
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