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" Describe a circle which shall pass through a given point and touch a given straight line and a given circle. "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 300
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...3. A segment of a circle being given, show how to describe the circle of which it is the segment. 4. Describe a circle which shall pass through a given point and touch each of two given straight lines which are not parallel. 5. Prove that the sides about the equal angles...
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Elementary Synthetic Geometry

George Bruce Halsted - 1896 - 164 sider
...A are on a Tucker s 0, called its Taylor's O. CHAPTER II. THE BROCARD POINTS. 661. Problem. To draw a circle which shall pass through a given point and touch a given straight at a given point. Construction. The J_ to the st' at the given p't and the r't bi' of the join of the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 sider
...point such that the two tangents drawn from it may contain a given angle. 18. Describe a circle that shall pass through a given point, and touch a given straight line at a given point. [See page 183. Ex. 5. ] 19. Describe a circle of given radius, having its centre...
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 138 sider
...of an equilateral triangle is equal to three times the radius of the inscribed circle. 4. Construct a circle which shall pass through a given point and touch a given straight line at a given point. Propositions 209, 212. 2O. 1. What is the locus of the middle points of all chords...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...straight lines, and AP is to PB as DQ to QC, prove that the straight lines PQ, AD, BC meet in a point. 51. Describe a circle which shall pass through a given point and touch two given straight lines. 52. AD the bisector of the base of the triangle ABC is bisected in E, BE...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...point such that the two tangents drawn from it may contain a given angle. V 18. Describe a circle that shall pass through a given point, and touch a given straight line at a given point. [See page 197. Ex. 5.] ^ 19. Describe a circle of given radius, having its centre...
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Calendar, for the Year ...

1903
...equiangular to one another have to one another the ratio which is compounded of the ratios of their sides. 3. Describe a circle which shall pass through a given point and touch two given straight lines. 9. AB is a diameter of a circle ; AC, AD are two chords meeting the tangent...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...point such that the two tangents drawn from it may contain a given angle. 18. Describe a circle that shall pass through a given point, and touch a given straight line at a given point. [See page 197. Ex. 5.] 19. Describe a circle of given radius, having its centre on...
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Annual Calendar of McGill College and University, Montreal

McGill University - 1868
...Given of a triangle, the base, vertical angle, and bisector of vertical an°rle, construct it. 11. Describe a circle which shall pass through a given point and touch two given circles. 12. Given three lines in position and magnitude, find the locus of the common vertex...
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The Surveyor, Volumer 3-4

1890
...Describe an isosceles triangle having each of- its angles at the base double the third angle. Q. 6. — Describe a circle which shall pass through a given point and touch two given straight lines. (a) When the lines are convergent (A) When parallel dumber of marks obtainable,...
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