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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 ... - Page 302
by Euclid, Isaac Todhunter - 1867 - 400 pages
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - Geometry, Modern - 1890 - 252 pages
...circles with a radius of 1 inch, to touch the circle first described in that point. 157. PROBLEM 55. — To describe a circle which shall pass through a given point and touch a given circle in a given point. Join the given point A, Fig. 118, through which the circle is to pass, with...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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 - Geometry - 1896 - 208 pages
...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 - Geometry - 1892 - 460 pages
...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 - Geometry - 1894 - 150 pages
...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, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...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.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...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 - 188 pages
...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, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...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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The Surveyor, Volumes 3-4

Surveying - 1890 - 426 pages
...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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