## An Elementary Treatise on Trilinear Co-ordinates, the Method of Reciprocal Polars, and the Theory of Projections |

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angular points appears asymptotes becomes called centre Chap chord circle circumscribing co-ordinates coefficients coincide condition conic conic section conjugate considered constant curve denoted described determine directrix distance draw equal equation EXAMPLES expressed find the equation fixed point foci focus follows four points given point given straight lines gives harmonic Hence identical imaginary inscribed internal line at infinity locus meet observed obtain opposite sides pair parabola parallel passing pencil perpendicular point of intersection points of contact polar pole positive produced projection proposition prove range ratio reciprocal relation represented respect right angles satisfy second degree seen sides similar Similarly subtends suppose tangents term theorem third three points three straight lines tion touch triangle of reference values whence written