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" Describe a circle which shall pass through a given point and touch a given straight line and a given circle. "
Geometrical Analysis: Or the Construction and Solution of Various ... - Σελίδα 101
των Benjamin Hallowell - 1872 - 279 σελίδες
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 454 σελίδες
...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,...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 442 σελίδες
...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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 444 σελίδες
...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...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 486 σελίδες
...; .-. (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...

First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - 1830 - 274 σελίδες
...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...

A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 σελίδες
...make with a given straight line an angle equal to a given angle. (Euclid, iii. 16. Cape, ii. 38.) 61. To describe a circle which shall pass through a given point, and touch a given straight line in a given point. (Euclid, iii. 16. Cape, ii. 38.) 62. To describe a circle which...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...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 point and touch a given straight line and a given circle. 59- Through a given point draw a circle touching two given...

The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 σελίδες
...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...

Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 σελίδες
...circle to draw a chord, which shall have a given length and shall be parallel to a given line. 48. To describe a circle which shall pass through a given point, and also touch a given line in a given point. PRINCIPLES OF GEOMETRY. 50. Through a given point A to draw...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...centre in a given line, and shall also touch another line, inclined to the former at a given angle. 10. To describe a circle which shall pass through a given point, and touch a given line in another given point. 11. To describe a circle which shall pass through a given point,...




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