Imágenes de páginas
PDF

AN

GEOR

LON

ON

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.

Loudon:
LONGMANS, GREEN, AND CO.

1879.

[merged small][ocr errors][ocr errors]

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. .

. . . .

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 .

. . ,

[ocr errors][ocr errors][ocr errors][ocr errors][ocr errors][ocr errors]

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

[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors]
[ocr errors][ocr errors][ocr errors]
[ocr errors]

CHAPTER VI,

[ocr errors][ocr errors][ocr errors][ocr errors][ocr errors][ocr errors][ocr errors]
[ocr errors]
[ocr errors]
« AnteriorContinuar »