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A TREATISE

ON

CONIC SECTIONS:

31

CONTAINING

AN ACCOUNT OF SOME OF THE MOST IMPORTANT MODERN

ALGEBRAIC AND GEOMETRIC METHODS.

BY

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

REGIUS PROFESSOR OF DIVINITY IN THE UNIVERSITY OF DUBLIN,

Fifth Edition.

LONDON:
LONGMANS, GREEN, READER, AND DYER.

1869.

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CAMBRIDGE: PRINTED BY WILLIAM METCALFE, GREEN STREET.

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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 Co-ordinates of its Vertices
Area of any Polygon
Condition that three Lines may meet in a Point (see also p. 34)
Area of Triangle formed by three given Lines
Equation of Line through the Intersection of two given Lines
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

Investigation of rectilinear Loci .

of Loci leading to Equations of Higher Degree

Problems where it is proved that a Moveable Line always passes through a

Fixed point

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

Loci solved by Polar Co-ordinates

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from Polar of other

Expression of Co-ordinates of Point on Circle by auxiliary Angle

Problems where a variable Line always touches a Circle

Examples on Circle solved by Polar Co-ordinates

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