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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

Parliamentary Papers, Volume 52

Great Britain. Parliament. House of Commons - Great Britain - 1866 - 858 pages
...pass through the point of contact. (Take the case of external contact.) 9. On a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Hence describe a triangle of given base, area, and vertical angle. 10. Show how...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the 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, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the 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, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the...

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 338 pages
...EB is a tangent. PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that shall contain an angle equal to a given angle. Let AB be the given straight line. Through the point B draw the straight line BD, making the angle ABD equal to the given angle ; draw...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...triangles ADE, ADC may be shewn to be equal. 44. Let A, B, be the given points. 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 line,...

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?...

Elementary Geometry, Volume 2

James Maurice Wilson - Geometry - 1868 - 150 pages
...To 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...

Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...circle. 116 PROBLEM XIII. On a (jiven line, to describe a segment of a itircle, that shall ;ontain 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...