KEY

ΤΟ

DODD'S ALGEBRA:

CONTAINING

ALL THE PROBLEMS, AND THE MORE DIFFICULT
EQUATIONS, IN THAT WORK,

WITH THEIR SOLUTIONS:

DESIGNED TO FACILITATE THE LABOR OF TEACHERS.

BY JAMES WILLIAM DODD, A. B.,

PRINCIPAL OF BETHEL ACADEMY.

NEW YORK:

PRATT, OAKLEY AND COMPANY,

21 MURRAY STREET.

1859.

HARVARD
UNIVERSITY
LIBRARY

Entered, according to Act of Congress, in the year Eighteen Hundred and Fifty-Four,

BY JAMES B. DODD,

In the Clerk's Office of the District Court of Kentucky.

J. P. JONES & CO., STEREOTYPERS,

183 WILLIAM STREET.

C. A. ALVORD, PRINTER,

29, & 31 GOLD STREET.

CONTENTS.

PROBLEMS in Simple Equations of one Unknown Quantity.

Problems in Simple Equations of one, two, &c., Unknown Quantities.....

Problems in Proportion....

Problems in Percentage..

Problems in Interest, &c...

Problems in Progressions...

Problems in Permutations and Combinations.

Exercises on Rationalization and Pure Equations..

Complete Equations in which the Unknown Quantity is contained in a Surd

Expression....

Equations of a Quadratic Form with reference to a Power or Root of the

Unknown Quantity....

Solution of Certain Biquadratics..

Problems in Pure Equations and Affected Quadratics Containing but one

Unknown Quantity....

.....

Solution of Two Equations-One or both of the Second or a Higher Degree—

Containing Two Unknown Quantities....

Solutions by Means of an Auxiliary Unknown Quantity...

Solutions by Means of two Auxiliary Unknown Quantities..

Miscellaneous Solutions and Exercises...

Problems in Quadratic Equations of one or more Unknown Quantities.

Exercises on Affected Cubic and Biquadratic Equations..

Problems in Inequations....

Miscellaneous Problems...

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