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 .

. . ,

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