## A Treatise on Plane Co-ordinate Geometry: As Applied to the Straight Line and the Conic Sections : with Numerous Examples |

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a˛b˛ angle asymptotes ax˛ axes becomes bisects called centre changing CHAPTER chord circle cloth co-ordinates College conic section conjugate diameters constant corresponding cos˛ curve denote described determined direction distance draw drawn ellipse equal example expression extremities figure find the equation fixed point focus four given given point giving Hence hyperbola inclined intersection length line joining line passing locus meet middle point negative normal obtain origin parabola parallel perpendicular point of intersection polar equation pole positive preceding article produced proposition prove quantity ratio rectangular referred represents respectively result right angles satisfy shew sides similar Similarly sin˛ straight line Substitute suppose tangent tion touches triangle values vertex written y₁

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Page 273 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.

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Page 242 - The locus of a point such that the sum of the squares of the perpendiculars drawn from it to the sides of a given triangle shall be...

Page 82 - A parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line.

Page 275 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.

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