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" ... extremity of the shadow of a vertical gnomon erected on a horizontal plane, on a given day and in a given latitude. 564. The centre of a sphere moves in a room a vertical plane which is equidistant from two candles of the same height from the floor:... "
The Doctrine of Germs, Or, The Integration of Certain Partial Differential ... - Page 211
by Samuel Earnshaw - 1881 - 108 pages
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Conic Sections, Treated Geometrically

William Henry Besant - Conic sections - 1869 - 304 pages
...are tangents to a confocal hyperbola, which passes through .!/ and N. 74. A point moves in a plane so that the sum or difference of its distances from two fixed points, one in the given plane and the other external to it, is constant. It will describe a conic, the section...
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The Geometry of Conics

Charles Taylor - 1873 - 156 pages
...will intersect on the asymptotes. Is this property projective ? 268. If a point move in a plane so that the sum or difference of its distances from two fixed points, whereof one is in the plane, is constant ; it will describe a plane section of a right cone whose vertex...
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Dublin examination papers

Dublin city, univ - 1876 - 420 pages
...q, r the perpendiculars of ths triangle, prove X uv - + " + - = l. pqr 13. Find a point on a line so that the sum or difference of its distances from two fixed points may be given. 14. The vertices of a triangle move on a circle, and two sides touch a. fixed circle...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 488 pages
...two candles of the same height from the floor: determine its locus if the shadows upon the coiling be always in contact. 565. If a point move in a plane...through A' and A respectively ; and that SO, AE', A'E cointersect, and hence that 8 and E'E produced divide AA' harmonically. 567. Prove from the cone that...
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An Introduction to the Ancient and Modern Geometry of Conics: Being a ...

Charles Taylor - Mathematics - 1881 - 512 pages
...two candles of the same height from the floor: determine its locus if the shadows upon the coiling be always in contact. 565. If a point move in a plane...the external given point. 566. Prove in Art. 75 that 8E and SE' bisect the diameters of the circular sections through A' and A respectively ; and that SO,...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...relation between the radii that there may be only one solution. 53. Find a point in a given line so that the sum (or difference) of its distances from two fixed points may be given. Reduce to the preceding Problem the following — Describe a circle, with its centre...
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Transactions of the ... Annual Meetings of the Kansas Academy of ..., Volume 14

Kansas Academy of Science. Meeting - Science - 1896 - 440 pages
...purposes of this paper it is convenient first to discuss briefly the locus of a point which moves so that the sum, or difference, of its distances —-—^ from two fixed points bears a constant ratio s- to its distance from a third point midway between these two. In Fig. 1 let...
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Transactions of the ... Annual Meetings of the Kansas Academy of ..., Volume 14

Kansas Academy of Science. Meeting - Science - 1896 - 388 pages
...purposes of this paper it is convenient first to discuss briefly the locus of a point which moves so that the sum, or difference, of its distances from two fixed points bears a constant ratio to its distance from a third point midway between these two. In Fig. 1 let P...
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Examinations Papers

1879 - 636 pages
...directrix, one tangent and one point, shew how to draw the curve. 6. If a point move in a plane so that the sum or difference of its distances from two fixed points, whereof one is in the plane, is constant, it will describe a plane section of a right cone whose vertex...
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