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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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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 sider
...this Appendix, in the enunciations of which th« necessary limitation is not specified. (LXXXVII.) To describe a circle which shall pass through a given point, and touch both a given circle, and a given straight line. (LXXXVII i.) In a straight line of indefinite length,...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 sider
...circle described through the points A, G, B, will touch the given circle$ since it touches FG. (43.) To describe a circle, which shall pass through a given point, and touch a given circle and a given straight line. Let ABC be the given circle, D the given point, and EF the given...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 sider
...of it. 42. To describe a circle passing through two given points, and touching a given circle. 43. To describe a circle which shall pass through a given point, and touch a given circle and a given straight line. ! I. To describe a circle which shall touch a straight line and two...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...; .-. (constr. and S. 96. 3. cor. 2.) K is the point which was to be found. PROP. LX. 69. PROBLEM. To describe a circle, which shall pass through a given point, and touch two given circles. Find a point (S. 59. 6.) such that the difference between its distance from the...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 sider
...equal to the given straight line LQEF PROP. XL 13. PROBLEM. To describe a circle, the circumJerence.of which shall pass through a given point, and touch a given straight line in another given point. Let B be a given point in the given straight line XY, and let A be any other...
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First Lessons in Plane Geometry: Together with an Application of Them to the ...

Francis Joseph Grund - 1830 - 255 sider
...52. To describe a circle, which shall pass through two given points, and touch a given circle. 53. To describe a circle, which shall pass through a given point, and touch two given circles. 54. To describe a circle, which shall touch three given circles. 55. To describe...
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Elements of geometry

Adrien Marie Legendre - 1841 - 235 sider
...parallel to OA, OB. DE is a square. Fig. 329. Q. XXXVIII. To describe a circle the circumference of which shall pass through a given point, and touch a given straight line in a given point Let AB be the given straight line, C the given point in which the circle is to touch...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...DB . DC= AW. 57. Describe a circle passing through two given points and touching a given circle. 58. Describe a circle which shall pass through a given...and touch a given straight line and a given circle. 59- Through a given point draw a circle touching two given circles. 60. With a given radius to describe...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845
...given point, have a given radius, and touch a given straight line. (Euclid, iii. 16. Cape, ii. 38.) 63. To describe a circle which shall pass through a given point, and touch a given circle in a given point. (Euclid, iii. 17. Cape, prob. 21.) 64. To describe a circle which shall touch...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...circles can be described around another circle of the same magnitude, touching it and one another ? 12. Describe a circle which shall pass through a given point, and touch a given circle in a given point, the two points not being in a tangent to the given circle. 13. Describe a...
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