CONIC SECTIONS:

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.

QA552
S3

1869

CAMBRIDGE:

PRINTED BY WILLIAM METCALFE, GREEN STREET.

CONTENTS.

[Junior readers will find all essential parts of the theory of Analytical Geometry included
in Chapters I., II., V., VI., X., XI., XII., omitting the articles marked with asterisks.]

Co-ordinates of Point cutting that Distance in a given Ratio.

Transformation of Co-ordinates

does not change Degree of an Equation

Polar Co-ordinates

CHAPTER II.

THE RIGHT LINE.

Equation of a Right Line in terms of its Intercepts on the Axes

18

in terms of the Perpendicular on it from Origin, and the Angles it makes

with Axes

19

of Perpendiculars of Triangle

Middle Points of Diagonals of a Quadrilateral are in a Right Line (see also p. 62)

Equation of Perpendicular on a given Line

of Perpendiculars at Middle Points of Sides

of Line making a given angle with a given Line

810799

26

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