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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. "
Elements of geometry and mensuration - Page 126
by Thomas Lund - 1854 - 192 pages
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Parliamentary Papers, Volume 7

Great Britain. Parliament. House of Commons - Bills, Legislative - 1859 - 140 pages
...the flow being in every case uniform. Geometry and Trigonometry. 1. On a given straight line describe a segment of a circle, which shall contain an angle equal to a given angle.— (Euclid, Book III., Prop. 33.) 2. Apply the above problem to the geometrical construction (when possible)...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...side together equal to two right angles. VOLUNTARY PORTION. 1. Upon a given straight line describe the segment of a circle which shall contain an angle equal to a right angle and a half. If (2a) be the length of the given line, find the radius of the circle. 3....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...Wherefore, if a straight line, &c. QED PROPOSITION 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. Let AB be the given straight line, and the angle C the given rectilineal angle....
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...be tangent to 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...
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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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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...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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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...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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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

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

Euclides - 1865 - 402 pages
...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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