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Geometry The Elements of Coordinate Geometry by Loney

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  1. Feb 1, 2013 #1

    micromass

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    Table of Contents:
    Code (Text):

    [LIST]
    [*] Introduction. Algebraic Results
    [*] Coordinates. Lengths of Straight Lines and Areas of Triangles
    [LIST]
    [*] Polar Coordinates
    [/LIST]
    [*] Locus. Equation to a Locus
    [*] The Straight Line. Rectangular Coordinates
    [LIST]
    [*] Straight line through two points
    [*] Angle between two given straight lines
    [*] Conditions that they may be parallel and perpendicular
    [*] Length of a perpendicular
    [*] Bisectors of angles
    [/LIST]
    [*] The Straight Line. Polar Equations and Oblique Coordinates
    [LIST]
    [*] Equations involving an arbitrary constant
    [*] Examples of loci
    [/LIST]
    [*] Equations representing two or more Straight Lines
    [LIST]
    [*] Angle between two lines given by one equation
    [*] General equation of the second degree
    [/LIST]
    [*] Transformation of Coordinates
    [LIST]
    [*] Invariants
    [/LIST]
    [*] The Circle
    [LIST]
    [*] Equation to a tangent
    [*] Pole and polar
    [*] Equation to a circle in polar coordinates
    [*] Equation referred to oblique axes
    [*] Equations in terms of one variable
    [/LIST]
    [*] Systems of Circles
    [LIST]
    [*] Orthogonal circles
    [*] Radical axis
    [*] Coaxal circles
    [/LIST]
    [*] Conic Sections. The Parabola
    [LIST]
    [*] Equation to a tangent
    [*] Some properties of the parabola
    [*] Pole and polar
    [*] Diameters
    [*] Equations in terms of one variable
    [/LIST]
    [*] The Parabola {continued)
    [LIST]
    [*] Loci connected with the parabola
    [*] Three normals passing through a given point
    [*] Parabola referred to two tangents as axes
    [/LIST]
    [*] The Ellipse
    [LIST]
    [*] Auxiliary circle and eccentric angle
    [*] Equation to a tangent
    [*] Some properties of the ellipse
    [*] Pole and polar
    [*] Conjugate diameters
    [*] Pour normals through any point
    [*] Examples of loci
    [/LIST]
    [*] The Hyperbola
    [LIST]
    [*] Asymptotes
    [*] Equation referred to the asymptotes as axes
    [*] One variable. Examples
    [/LIST]
    [*] Polar Equation to a Conic
    [LIST]
    [*] Polar equation to a tangent, polar, and normal
    [/LIST]
    [*] General Equation. Tracing of Curves
    [LIST]
    [*] Particular cases of conic sections
    [*] Transformation of equation to centre as origin
    [*] Equation to asymptotes
    [*] Tracing a parabola
    [*] Tracing a central conic
    [*] Eccentricity and foci of general conic
    [/LIST]
    [*] General Equation
    [LIST]
    [*] Tangent
    [*] Conjugate diameters
    [*] Conics through the intersections of two conics
    [*] The equation S=\lambda uv
    [*] General equation to the pair of tangents drawn from any point
    [*] The director circle
    [*] The foci
    [*] The axes
    [*] Lengths of straight lines drawn in given directions to meet the onic
    [*] Conics passing through four points
    [*] Conics touching four lines
    [*] The conic LM=R^2
    [/LIST]
    [*] Miscellaneous Propositions
    [LIST]
    [*] On the four normals from any point to a central conic
    [*] Confocal conics
    [*] Circles of curvature and contact of the third order
    [*] Envelopes
    [/LIST]
    [*] Answers
    [/LIST]
     
     
    Last edited: Feb 3, 2013
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