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" On 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 Elements of Plane and Solid Geometry: With Chapters on Mensuration and ... - Page 81
by Isaac Sharpless - 1879 - 266 pages
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...alternate segment of the circle. (l. 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 thali contain an angle equal to a given rectilineal angle. Let AB be the given straight line,...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...D, and the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at the...
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Calendar of the McGill University, Montreal

McGill University - 1865 - 332 pages
...equal to two right angles, the quadrilateral may be inscribed in a circle. 4. On a given right line describe a segment of a circle containing an angle equal to a given one. o. Given the base, vertical angle, and area of a triangle, construct it. 5. Inscribe a regular...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...alternate segment of the circle, (i. ax. 8.) Wherefore, if a straight line, &c. QED PROPOSITION XXXin. 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,...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...segment of a circle being given, to describe the circle of which it is the segment ...... III. 25. 5. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle . m. 33. C. From a given circle to...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...alternate segment of the circle. Wherefore, if a straight line &c. QED PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle,...rectilineal angle. Let AB be the given straight line, and C the given rectilineal angle : it is required to describe, on the given straight line AB, a segment...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...alternate segment of the circle. Wherefore, if a straight line &c. QED PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle,...rectilineal angle. Let AB be the given straight line, and C the given rectilineal angle : it is required to describe, on the given straight line A It, a segment...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 336 pages
...half the line bisected, and of the square of the line made np of the half and the part produced. 6. Upon a given straight line to describe a segment of...containing an angle equal to a given rectilineal angle. 7. To inscribe a circle if! a given square, and to describe a circle about a given square. 8. Ratios...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1868 - 426 pages
...other, the base of that which has the greater angle shall be greater than the base of the other. 11. On a given straight line to describe a segment of a circle containing an angle equal to a given obtuse rectilineal angle. When is one plane perpendicular to another? From the same point in a given...
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Elementary Geometry, Volume 2

James Maurice Wilson - Geometry - 1868 - 150 pages
...cut from any circle a segment which shall be capable of a given angle . . . . . . -25 PROBLEM 4. On a given straight line to describe a segment of a circle containing an angle equal to a given anijle . . 26 PROBLEM 5. To draw a common tangent to two given circles . 27 PROBLEM 6. To find the...
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