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" To construct a circle which shall pass through two given points and touch a given straight line. "
Exercises on the geometry and measurement of plane figures, being solutions ... - Page 78
by Richard Wormell - 1883 - 192 pages
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 442 pages
...which .shall pass through a given point, have a given radius, and touch a given straight line. c. 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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Euclid's Elements - 1819 - 444 pages
...which shall 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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...describe a circle 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....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...by supposing 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...
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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
...three angles and the sum of the three sides of a triangle being given, to construct the triangle. 50. To describe a circle, which shall pass through two given points, and touch a given straight line. 51. To describe a circle, which shall pass through a given point, and touch two...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...by supposing 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...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1845 - 222 pages
...shall be 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,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...angle, and a 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...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...circle which 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...
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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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