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" To construct a circle which shall pass through two given points and touch a given line. Given : Points A and B ; line CD. Construction: Draw line AB meeting CD ^ P" "
Plane Geometry - Page 186
by Edward Rutledge Robbins - 1906 - 254 pages
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Report on Foreign Systems of Naval Education

James Russell Soley - Naval education - 1880 - 346 pages
...on the opposite sides. 7. Describe a circle which shall touch three given straight lines. Describe a circle which shall pass through two given points and touch a given straight line. 8. If two circles cut one another, the straight line joining their centers bisects the...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...cuts the given circle, both the circles obtained touch the given circle externally. 10. To describe a circle which shall pass through two given points and touch a given circle. Let A and B be the given points. Take any point O on the circumference of the given circle,...
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Practical plane geometry and projection. [2 issues].

Henry Angel - 1880 - 360 pages
...B, and E as 3 points, proceed to describe the required circle through them. PROBLEM LV. To describe a circle which shall pass through two given points and touch a given circle. (Fig. 57.) In fig. 57 A and B are the given points, and the circle (c?ntre C) Hie given one....
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An elementary treatise on geometrical drawing

John Henry Robson - 1880 - 118 pages
...conditions ; but in this case the given circle would fall wholly within the other circle. 56. To describe a circle -which shall pass through two given points, and touch a given straight line. 0 C Let CD be the given straight line, and AB the given points. Join AB, and produce...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...of having a circle inscribed within it ? 5. Describe a circle about a given triangle. Also describe a circle which shall pass through two given points and touch a given straight line. G. Give and comment upon Euclid's definition of ratio and proportion, and explain the...
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Exercises on the geometry and measurement of plane figures, being solutions ...

Richard Wormell - Geometry, Plane - 1883 - 208 pages
...angles and meeting BI . » * »• in I; then I is the centre of the circle required. 39. To describe a circle -which shall pass through two given points and touch a straight line parallel to the line joining those points. Let A and B be the points through which the...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...triangle ABC. 72. To transform a given parallelogram into a rhombus, one angle remaining unchanged. 73. To construct a circle which shall pass through two given points, and shall touch a given line. To divide a given triangle by a line parallel to one side into : 74. Two...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...given the greater segment of a line divided in extreme and mean ratio, to construct the line. 276. To construct a circle which shall pass through two given points and touch a given straight line. 277. To construct a circle which shall pass through a given point and touch two given...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane

Nathan Fellowes Dupuis - Geometry - 1889 - 370 pages
...dividing one equation by the other, and reducing to one line, BD2=2BG2; 186°. Problem. — To find the circle which shall pass through two given points and touch a given line. Let A, B be the given points and L the given line. Constr. — Let the line AB cut L in O. Take OP...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...triangle ABC. 72. To transform a given parallelogram into a rhombus, one angle remaining unchanged. 73. To construct a circle which shall pass through two given points, and shall touch a given line. To divide a given triangle by a line parallel to one side into : 74. Two...
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