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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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## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 514 pages
...EB is a tangent. PROBLEM XVI. 315. On a given straight litte 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 В draw the straight line BD, making the angle ABD equal to the given angle; draw%BE...
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## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 628 pages
...a tangent. PROBLEM XVI. 315. On a given straight line to construct a segment of a circle that ahull 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...
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## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 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...
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## The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 pages
...&c. QED PEOP. XXXIII. (PnOELEM.)— Upon a given straight line(\B) to describe rectilineal angle (C). a segment of a circle, which shall contain an angle equal to a given Bisect AB inF (I.10), and from the centre F, at the distance FB, de ;cribe the semicircle AH B. Because...
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## The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 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,...
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## Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...with a radius of 1^ inches, and then describe an equilateral and equiangular pentagon about it. 7. Describe a segment of a circle which shall contain an angle equal to one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide...
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## Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...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, and the...
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## The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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 cut off a segment which shall contain an angle...
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## Papers Read at the Royal Institute of British Architects

Architecture - 1865 - 276 pages
...to the angles which are in the alternate segments of the circle. Shew from this how to describe the segment of a circle which shall contain an angle equal to a given rectilineal angle. Book IV. Proposition 10. Problem. To describe an isosceles triangle having each...
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## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...Join TO, VO and prove TOY a straight line. 68. 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...
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