| Robert Potts - 1865 - 528 pagina’s
...impossible ? 41. Describe a circle touching a given straight line, and also two given circles. 42. Describe a circle which shall pass through a given point and touch a given straight line find a given circle. 43. With a given radius to describe a circle, touching two given circles. 44.... | |
| McGill University - 1865 - 332 pagina’s
...arithmetical, geometric, and harmonic means between two given right lines are in geometrical progression. 10. Describe a circle which shall pass through a given point and touch two given circles. •11. If two circles intersect, and if from one of the points of intersection two... | |
| Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...circle which shall pass through a .given point and touch a given straight line at a given point., . 508. Describe a circle which shall pass through a given point and touch a given circle at a given point. 509. Describe a circle which shall touch a given circle at a given point and... | |
| Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...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,... | |
| Robert Potts - 1868 - 434 pagina’s
...triangle is divided, their diameters will be to each other as the sides containing the right angle. X. 79. Describe a circle which shall pass through a given...and touch a given straight line and a given circle. 80. Through a given point draw a circle touching two given circles. 81. Describe a circle to touch... | |
| Elias Loomis - 1871 - 302 pagina’s
...given circle in a given point, and also touch a given straight line. Prop. 14. With a given radius, describe a circle which shall pass through a given point and touch a given line. GEOMETRICAL EXERCISES ON BOOK IV. . THEOREMS. Prop. 1. The area of a triangle is equal to its... | |
| Benjamin Hallowell - 1872 - 302 pagina’s
...diameter of the required circle. * III. 16, cor. THE CIRCLE. PROBLEM VIII. — With a given radius to describe a circle which shall pass through a given point and touch a line given in position. r the radius CP, the line AB, and the J point P in position; that \s,PD, the... | |
| Richard Wormell - 1876 - 268 pagina’s
...To draw to a given circle a tangent which shall make a given' angle with a given straight line. 38. To describe a circle which shall pass through a given point and shall touch a given straight line in a given point. 39. To describe a circle which shall pass through... | |
| Robert Potts - 1876 - 446 pagina’s
...point with the centre of the circle. What propositions in Euclid follow immediately from this ? % (6) Describe a circle which shall pass through a given point and touch two straight lines given in position. (Apollonius.) •t. (a) To describe an isosceles triangle, having... | |
| University of Madras - 1876 - 580 pagina’s
...rectangle contained by the segments of the other Il. (a) Describe a circle about a given triangle. (6) Describe a circle which shall pass through a given point and touch two given straight lines. III. Explain the terms " homologous sides," " duplicate ratio," and "ex equali."... | |
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