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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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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...pass through a given point, have a given radius, and touch a given straight line. e 34. To describe a circle, which shall pass through two given points, and touch a given straight line. 35. To describe a circle, the circumference of which shall pass through a given point,...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...radius OF, will touch (Eucl. iii. 16. Cor.) the line AB in F, and pass through C. (34.) To describe a circle which shall pass through two given points, and touch a given straight line. Let A, B be the given points, and CD the given straight line. Join AB. And 1 . let CD...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...which shall touch two given right lines and pass through a given point between them. 2. To describe a circle which shall pass through two given points, and touch a given right line, the given . points being both on the same side of the right line. EUCLID'S ELEMENTS. BOOK...
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...circle, which shall pass through a given point, and touch two given straight lines. 52. To describe a circle, which shall pass through two given points, and touch a given circle. 53. To describe a circle, which shall pass through a given point, and touch two given circles....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...a point and a tangent passing through it to be of the data. Thus, the second becomes " to describe- a circle, which shall pass through two given points, and touch a given straight line in one of those points," and the third "to describe a circle which shall touch two ffiven...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...a point and a tangent passing through it to be of the data. Thus, the second becomes " to describe a circle, which shall pass through two given points, and touch a given straight line in one of those points," and the third " to describe a circle which shall touch two given...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 pages
...equal to the base. (Euclid, vi. 4, and v. 22. Cape, iii. 69, and Proportion, art. 183.) 96. To describe a circle which shall pass through two given points and touch a given straight line. (Euclid, vi. 13. Cape, iii. 72.) 97. From a given point in the side of a triangle, to...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...line drawn from one of the others bisecting the opposite side : construct the triangle. 80. Describe a circle which shall pass through two given points and touch a given line : and shew that, of all triangles upon a given base and between the same parallels, the isosceles has...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...shall pass through a given point, have a given radius, and touch a given straight line. 17. To describe a circle which shall pass through two given points, and touch a given straight line. 18. To describe a circle the centre of which may be in the perpendicular of a given...
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Mechanics' Magazine, Volume 60

Technology - 1854 - 626 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 authois; but no geometer,...
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