Algebraical Problems, Producing Simple and Quadratic Equations, with Their Solutions

PROBLEMS,

PRODUCING

SIMPLE and QUADRATIC EQUATIONS,

WITH

THEIR SOLUTIONS.

DESIGNED AS AN

INTRODUCTION TO THE HIGHER BRANCHES
OF ANALYTICS.

BY MILES BLAND, B.D. F.R.S. & F.A.S.

RECTOR OF LILLEY, HERTS; AND LATE FELLOW AND TUTOR
OF ST. JOHN'S COLLEGE, CAMBRIDGE.

FOURTH EDITION.

CAMBRIDGE:

Printed by J. Smith, Printer to the University;

SOLD BY DEIGHTON & SONS, STEVENSON, BARRETT,
AND NEWBY, CAMBRIDGE; J. MAWMAN, AND
G. & W. B. WHITTAKER, LONDON.

Math 2258.24

HARVARD
UNIVERSITY
LIBRARY

C

ADVERTISEMENT.

THE following pages contain a collection of Algebraical Problems designed solely to point out the various methods employed by Analysts in the Solution of Equations. They are arranged in the usual manner: 1. Simple Equations; 2. Pure Quadratics, and others which may be solved without completing the square; and 3. Adfected Quadratics. Utility being the sole object of this Publication, wherever a proper Example occurred, it has been taken without hesitation, or altered to suit the purpose. At the head of each Section are given the common Rules; and the whole concludes with a Collection of Problems without Solutions, for the Exercise of the Learner.

CONTENTS.

Definitions, &c.......

Solution of Simple Equations, involving only one unknown

Quantity

Page

1

6

Solution of Simple Equations, involving two unknown Quan-

tities

22

Solution of Simple Equations, involving three unknown

Quantities