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ON

CONIC SECTIONS:

OONTAINING

AN ACCOUNT OF SOME OF THE MOST IMPORTANT MODERN

ALGEBRAIC AND GEOMETRIC METHODS.

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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.

CAMBRIDGE: PRINTED BY W. METCALFE AND SON, TRINITY STREET AND ROSE CRESCENT.

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 Coordinates

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RIGHT LINES.

Meaning of an Equation resolvable into Factors . . , .67

of a Homogeneous Equation of the nth Degree . . . . 68

Imaginary Right Lines .

Angle between two Lines given by a single Equation .
Equation of Bisectors of Angles between these Lines
Condition that Equation of second Degree should represent Right Lines (see also :

pp. 149, 153, 155, 266

Number of conditions that higher Equations may represent Right Lines .

Number of terms in Equation of nth Degree,

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EXAMPLES ON CIRCLE,

93

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