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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 ... - Seite 302
von Euclid, Isaac Todhunter - 1867 - 400 Seiten
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 Seiten
...BA C = f rt. Z., and there may be six such angles around the point A, and .'. six such ©. Ex. 10. Describe a circle which shall pass through a given point, and touch a given circle at a given point, the two points not being in a tangent to the given circle. Given A, and B...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...nequal, show how to draw a line through one of its angular points which shall bisect the figure. 2. Describe a circle which shall pass through a given point, and touch a given circle at a given point. 3. Within a given circle inscribe three equal circles which shall touch each...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...right angles to AB, meeting the given straight line at C. Then describe a circle through A, B, C. 7. To describe a circle which shall pass through a given point and touch two given straight lines. Let A be the given point ; produce the given straight lines to meet at B,...
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Questions in pure mathematics proposed at the B.A. and B.Sc. pass and ...

London univ, exam. papers, John Edward A. Steggall - 1882
...whose sides are equal to those of the triangle ABC; and the whole square is divided as required. 2. Describe a circle which shall pass through a given point, and touch two given circles. This problem is solved in the Appendix to Todhunter's Euclid ; and, in a more general...
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382 exercises, solved, upon the 3rd, 4th, 5th, and 6th books of Euclid

Patrick M. Egan - 1883
...circle described from C as centre, and CG, CE, or CF, as radius, arc parallel (I. 28). EXERCISE 85. To describe a circle which shall pass through a given point and touch two given straight lines. (Fig. 85, Plate VI.)—Let AB and AFbe the two straight lines, and first...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 Seiten
...and L ; so that the five letters are now to be in the following order, L, K, T, M, N. APPENDIX. 15. To describe a circle which shall pass through a given point and touch two given circles. Let A be the centre of the smaller circle and B the centre of the larger circle...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - 1883 - 192 Seiten
...making Z.BCD equal to the given angle, and by the preceding exercise draw a tangent parallel to C D. 38. To describe a circle which shall pass through a given point and shall touch a given straight line In a given point, A be the given point, and B the point in which...
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Guide to obtaining an army school certificate, 1st class, by an army ...

George Lund Dunnett - 1884
...circumference, and all other straight lines drawn through the end do «ut the circumference. 4. Show how to draw a circle which shall pass through a given point and touch a given circle, at a given point of its circumference. 5. If one equilateral triangle be circumscribed to another,...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...point. Reduce the problem by Peterse:fs ' parallel translation ' to the following simpler one : — To describe a circle which shall pass through a given point and touch a given straight line at a given point. Ex. 497. — To describe a circle which shall touch two given circles, one of them...
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Practical Plane Geometry: Giving the Simplest Modes of Constructing Figures ...

John Fry Heather - 1890 - 172 Seiten
...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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