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" UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. "
First book of mathematics - Page 48
by Hugo Reid - 1872 - 124 pages
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...this proposition is a particular case either of III. 21, or of III. 22, Cor. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, LC the given...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1885 - 322 pages
...BAC = L ADC + L ACD, I. 32 = the given angle ; and BA + AC = BA + AD = BD. 6. On BC, the given base, describe a segment of a circle containing an angle equal to a right angle increased by half the given vertical angle ; with B as centre, and the difference of the...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...draw a straight line from a given point in a given straight line, which shall make an angle with it equal to a given angle. Let AB be the given straight line, A the given point in it, and DCE the given angle. It is required to draw from A a straight line which...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...perpendicular, let fall on it from the opposite angle, and the acute angle. 8. On a given straight line describe a segment of a circle, containing an angle equal to a given rectilineal angle. 9. Inscribe an equilateral and equiangular pentagon in a given circle. 10. Enunciate...
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885 - 652 pages
...through the angular points of which a circle can be described is a rectangle. 7. On a given straight line describe a segment of a circle, containing an angle equal to a given rectilineal angle. 8. Find a mean proportional between two given straight lines. Prove that the sum...
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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1304 pages
...shall pass through the point of contact. 7. Define the segment of a circle. On a given straight line describe a segment of a circle containing an angle equal to a given rectilineal angle. 8. In a given circle, inscribe a triangle equiangular to a given triangle. If the...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...straight lines 37 \ To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On a given straight line to describe a segment of a circle which shall contain a given angle 40 31. To draw a line touching two given circles ..... 41 Properties...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...straight lines 37 29. To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On a given straight line to describe a segment of a circle which shall contain a given angle 40 31. To draw a line touching two given circles ..... 41 Properties...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...CD at F are together double the angle AEB. (25.) 29. Show how to describe on a given straight line a segment of a circle containing an angle equal to a given angle which is less than a right angle. From a given point outside a given circle draw a straight line to...
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Calendar of Dalhousie College and University

Dalhousie University - 1886 - 216 pages
...centre : and the greater chord is nearer the centre than the less. 3. On a given straight line construct a segment of a circle, containing an angle equal to a given angle. 4. Shew how the solution you arrived in question (1) can be applied to prove either the 35th or the...
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