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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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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 60

Perry Fairfax Nursey - Industrial arts - 1854 - 616 pages
...met with in our mathematical publications. The twelfth proposition of the Translation requires " the circle which shall pass through two given points and touch a given circle." Its construction had been given by various methods in different authors; but no geometer,...
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Transactions of the Historic Society of Lancashire and Cheshire ..., Volumes 7-8

Cheshire (England) - 1855 - 712 pages
...line, so that the product of its segments shall be equal to a given rectangle," and of " describing a circle which shall pass through two given points, and touch a given circle." The former offers no difficulty whatever, whilst the latter, by an almost obvious process,...
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Transactions of the Historic Society of Lancashire and Cheshire ..., Volume 8

Historic Society of Lancashire and Cheshire - Cheshire (England) - 1856 - 360 pages
...line, so that the product of its segments shall be equal to a given rectangle," and of " describing a circle which shall pass through two given points, and touch a given circle." The former offers no difficulty whatever, whilst the latter, by an almost obvious process,...
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - Mathematics - 1862 - 330 pages
...between the points where they to'uch either one of the sides shall be equal to the base. 115. To describe a circle which shall pass through two given points and touch a given straight line. 116. From a given point in the side of a triangle, to draw a straight line, which shall...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 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 C on the circumference of the given circle,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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 C on the circumference of the given circle,...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...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 two given points and touch a straight line parallel to the line joining those points. 40. To describe a circle which shall touch...
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Elementary geometrical drawing

Samuel H. Winter - 1878 - 132 pages
...To describe a circle of given radius touching two given circles . . . . . . .30 yr.TV, To describe a circle which shall pass through two given points and touch a given circle . . .31 XLV. To inscribe a square in the quadrant of a circle . 31 XLVI. To inscribe a square...
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...through a given point between the sides of an angle, and shall touch the sides of the angle. Ex. 378. Construct a circle which shall pass through two given points and touch a given straight line. Ex. 379. A circle and two external points are given: construct another circle which...
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Practical Plane Geometry and Projection: For Science Classes ..., Volume 1

Henry Angel - Geometry, Plane - 1880 - 372 pages
...and E as 3 points, proceed to describe the required circle through them. 63 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 (centre C) the given one....
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