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" Find the locus of the center of a circle which has a given radius and passes through a given point. "
The Elements of Plane Analytic Geometry: A Text-book Including Numerous ... - Page 102
by George Russell Briggs - 1887
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Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 196 pages
...sides of the given triangle are also the points of contact of the circles required.) Ex. 275. Construct the locus of the centre of a circle which has a given radius, and cuts a given chord from a given circle. Ex. 277. Construct a circle which has a given radius, touches...
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
...meaning is impossible, instead of " circumference " the word " circle " will often be substituted. To find the locus of the centre of a circle which has a given radius r, and also : 4. Passes through P. 8. Cuts L under the chord a. 5. Touches L. 9. Cuts JTunder the chord...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...of meaning is impossible, instead of" circumference" the word " circle " will often be substituted. To find the locus of the centre of a circle which has a given radius r, and also : 4. Passes through P. 8. Cuts L under the chord a. 5. Touches L. 9. Cuts Sunder the chord...
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Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...meaning is impossible, instead of " circumference " the word " circle " will often be substituted. To find the locus of the centre of a circle which has a given radius r, and also : 4. Passes through P. 8. Cuts L under the chord a. 5. Touches L. 9. Cuts TTunder the chord...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - 1890 - 170 pages
...point (— c, o) and radius 2 m, where c and m represent the lengths of the base and medial line. (7.) To find the locus of the centre of a circle which...given radius and passes through a given point. Let P ' be the unknown centre. The equation of the circle may then be written (xx')* + (yy'y = a2. Making...
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Exercises in Wentworth's Geometry: With Solutions

George Albert Wentworth - Geometry - 1896 - 296 pages
...point P. The required locus is the circumference of a O having P for centre and r for radius. Ex. 191. Find the locus of the centre of a circle which has a given radius r and touches a given straight line AB. The required locus consists of the two straight lines drawn...
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The Elements of Plane Geometry

Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...264. Find the locus of the centre of a circle which touches a given line at a given point. Ex. 265. Find the locus of the centre of a circle which has a given radius and touches a given line. Ex. 266. Find the locus of the centre of a circle which touches two given parallel...
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Plane and Solid Geometry

George Albert Wentworth - 1900 - 344 pages
...these circumferences becomes the point O ; if d > r, the second circumference does not exist. Ex. 150. Find the locus of the centre of a circle which has a given radius r and passes through a given point P. The required locus is the circumference of a O having P for centre...
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The Elements of Plane Analytic Geometry: A Text-book Including Numerous ...

George Russell Briggs - Geometry, Analytic - 1903 - 221 pages
...point (— c, o) and radius 2 m^ where c and m represent the lengths of the base and medial line. (7.) To find the locus of the centre of a circle which...centre. The equation of the circle may then be written (x-xfY + (>_/)« = „». Making this pass through the given point J\, we have (*1-*0'+ <>,-/)' = «*;...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 pages
...of a circle which has a given radius and touches a given line. Ex. 659. Find the locus of the center of a circle which has a given radius and passes through a given point. K' Ex. 660. Find the locus of the center of a circle that passes through two given points. Ex. 661....
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