| McGill University - 1865
...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 - 400 sider
...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 - 400 sider
...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 - 410 sider
...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 - 58 sider
...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 - 279 sider
...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... | |
| Robert Potts - 1876 - 403 sider
...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... | |
| Richard Wormell - 1876
...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... | |
| University of Madras - 1876
...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."... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...all other straight lines drawn through the end do cut the circumference. (15). 30. 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. (25). 31. If one equilateral triangle be circumscribed... | |
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