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.

PREFACE,
I HAVE endeavoured in this Manual to collect and
arrange all those Elementary Geometrical Propositions not given in Euclid which a Student will
require in his Mathematical Course. The necessity for such a Work will be obvious to every person engaged in Mathematical Tuition. I have
been frequently obliged, when teaching the Higher
Mathematics, to interrupt my demonstrations, in
order to prove some elementary Propositions on
which they depended, but which were not given
in any book to which I could refer. The object
of the present little Treatise is to supply that
want.
The following is the plan of the Work. It
is divided into five Chapters, corresponding to
Books I., II., III., IV., VI. of Euclid. The
Supplements to Books I.-IV. consist of two Sections each, namely, Section I., Additional Propositions; Section II., Exercises. This part will be
found to contain original proofs of some of the