 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...circle a regular hexagon; also an equilateral triangle. 22. Describe a circle the circumference of which shall pass through a given point and touch a given straight line in a given point. 23. If a circle be inscribed in a right-angled triangle, the difference between the... | |
 | George Albert Wentworth - 1879 - 196 pages
...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... | |
 | Edward Harri Mathews - 1879 - 94 pages
...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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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,... | |
 | London univ, exam. papers, John Edward A. Steggall - Mathematics - 1882 - 264 pages
...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... | |
 | Patrick M. Egan - 1883 - 212 pages
...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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... | |
 | Richard Wormell - Geometry, Plane - 1883 - 210 pages
...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... | |
 | George Lund Dunnett - 1884 - 128 pages
...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,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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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Describe a circle which shall pass through a given point and touch a given straight line and a given circle. 
