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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 ... - Side 300
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Calendar of the McGill University, Montreal

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Geometrical Analysis: Or the Construction and Solution of Various ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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Modern geometry [ed.] with an appendix by W.B. Jack

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...
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The Madras University Calendar, Volum 1

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."...
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Examination Papers for Science Schools and Classes

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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