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CONIC SECTIONS:

CONTAINING

AN ACCOUNT OF SOME OF THE MOST IMPORTANT MODERN
ALGEBRAIC AND GEOMETRIC METHODS.

BY

GEORGE SALMON, D.D., D.C.L., LL.D.. F.R.S.,

REGIUS PROFESSOR OF DIVINITY IN THE UNIVERSITY OF DUBLIN.

SIXTH EDITION.

London:

LONGMANS, GREEN, AND CO.

1879.

Length of Perpendicular from a Point on a Line
Equations of Bisectors of Angles between two given Right Lines
Area of Triangle in terms of Coordinates of its Vertices.
Area of any Polygon

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Condition that three Lines may meet in a Point (see also p. 34)
Area of Triangle formed by three given Lines

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Equation of Line through the Intersection of two given Lines

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Test that three Equations may represent Right Lines meeting in a Point
Connexion between Ratios in which Sides of a Triangle are cut by any Transversal

by Lines through the Vertices which meet in a Point

Polar Equation of a Right Line

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EXAMPLES ON THE RIGHT LINE.

Investigation of Rectilinear Loci

of Loci leading to Equations of Higher Degree

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Centre of Mean Position of a series of Points

Right Line passes through a Fixed Point if Constants in its Equation be
connected by a Linear Relation

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Loci solved by Polar Coordinates

THE RIGHT LINE.-ABRIDGED NOTATION.

Meaning of Constant & in Equation a = kẞ

Bisectors of Angles, Bisectors of Sides, &c. of a Triangle meet in a Point
Equations of a pair of Lines equally inclined to a, ß

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Proof that middle Points of Diagonals of Quadrilateral lie in a Right Line
Intersections of Perpendiculars, of Bisectors of Sides, and of Perpendiculars at

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