A sequel to the first six books of the Elements of Euclid, containing an easy introduction to modern geometry, with numerous examples. By John Casey.

CONTENTS.

BOOK VI.
SECTION I.

PAGE

Properties of segments of sides of a triangle made by
concurrent lines,...... 67
Properties of segments of sides of a triangle made by
collinear points, * 69
Rectangle of two sides of a triangle,... 69
Property of perpendiculars on sides and diagonals of
inscribed polygon,.. 70
Locus of vertex of a triangle when base and ratio of
sides are given,.... 71
Property of a parallel to one of the sides of a quadrilateral through intersection of diagonals,.. 72
*Property of distances of vertices of a triangle from
centres of inscribed and escribed circles,.. 73
Relation between radii of inscribed and circumscribed
circles of a triangle,... 74
*Properties of centres and axes of perspective of two
triangles,.... 7f
Solutions of Geometrical Problems,. 78
SECTION II.
Centres of Similitude,..82
Centres of similitude defined,. 82
Properties of lines passing through centres of similitude of two circles,...... 83
Axes of similitude,.... 84
Circle of similitude,.... 86