An Elementary Treatise on Analytical Geometry: With Numerous Examples

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Clarendon Press, 1893 - 425 pàgines
 

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Pàgina 126 - Find the locus of a point, the distances of which from two given straight lines have a fixed ratio. 143. Find the locus of a point which moves so that the sum of its distances from two vertices of an equilateral triangle shall equal its distance from the third.
Pàgina 427 - A New English Dictionary, on Historical Principles: founded mainly on the materials collected by the Philological Society. Edited by James AH Murray, LL.D., with the assistance of many Scholars and men of Science.
Pàgina 79 - A conic section is the locus of a point which moves so that its distance from a fixed point, called the focus, is in a constant ratio to its distance from a fixed straight line, called the directrix.
Pàgina 156 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Pàgina 206 - PF'/PH' = e, by definition of the curve. Furthermore :f (6) PF + PF' = 2a. In fact, the ellipse is often defined as the locus of a point which moves so that the sum of its distances from two fixed points is constant.
Pàgina 405 - The diagonals of a quadrilateral inscribed in a circle intersect at right angles...
Pàgina 1 - THE Rectangle under the Sum and Difference of two Lines, is equal to the Difference of the Squares, of those Lines.
Pàgina 425 - Graphical Statics. Two Treatises on the Graphical Calculus and Reciprocal Figures in Graphical Statics. By the same Author. Translated by T. HUDSON BEARS.
Pàgina 156 - What is the locus of a point which moves so that the square of its distance from a fixed point is proportional to its distance from a fixed line?

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