AN

ELEMENTARY TREATISE

ON

ALGEBRA,

IN

THEORY AND PRACTICE.

WITH ATTEMPTS TO SIMPLIFY

SOME OF THE MORE DIFFICULT PARTS OF THAT SCIENCE, PARTICULARLY
THE SOLUTION OF CUBIC EQUATIONS AND OF THE

HIGHER ORDERS.

WITH

NOTES AND ILLUSTRATIONS,

CONTAINING A VARIETY OF PARTICULARS RELATING TO THE DISCOVERIES
AND IMPROVEMENTS THAT HAVE BEEN MADE IN THIS BRANCH OF
ANALYSIS, AND, IT IS BELIEVED, MORE NEW AND EN-
TERTAINING QUESTIONS AND SOLUTIONS THAN

CAN BE FOUND IN ANY OTHER WORK
ON THE SAME SUBJECT.

TO WHICH IS ADDED

APPENDIX, ON THE APPLICATION OF ALGEBRA TO

GEOMETRY.

1

BY JOHN D. WILLIAMS,

AUTHOR OF

"A Key to Hutton's Mathematics, containing the Questions and their Solutions ;"
"Arithmetical and Algebraical Amusements," "Arithmetic and Key," &c.

BOSTON:

PUBLISHED BY HILLIARD, GRAY, & CO.