ELEMENTS

OF

PLANE GEOMETRY.

BY

FRANKLIN IBACH, B. S.,

TEACHER OF MATHEMATICS IN THE PEIRCE COLLEGE OF BUSINESS.

PHILADELPHIA :

E. H. BUTLER & CO.

Entered, according to Act of Congress, in the year 1882, by

E. H. BUTLER & CO.

In the Office of the Librarian of Congress, at Washington, D. C.

21036

ELECTROTYPED BY MACKELLAR, SMITHS & JORDAN, PHILADELPHIA.