## Elementary AlgebraAs far as the authors know, this is the first beginners' book that graphically illustrates the fundamental rules, laws and facts of algebra, and brings into bold relief those portions of it that are indispensable to the study of geometry, physics, and chemistry pursued in secondary schools. The first ten chapters furnish an easy introduction to algebra, with simple problems having natural solutions. The second ten chapters demand more of the student, while fixing principles in the mind by means of examples that move from easy, to those of increasing difficulty. |

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### Common terms and phrases

A's money a²b a²b² a³b algebraic angle arithmetic arithmetic mean BCHL bushels Check coefficient cube root denominator digits distance Divide divisor equal equation Example exceeds EXERCISE exponent expression Extract the square factors feet Find its dimensions Find the cost Find the number Find the sum Find the value fraction geometric Hence horses inches length logarithms mantissa marked price mercury miles an hour monomial Multiply nth root number of acres number of dollars number of yards numbers differ odd numbers polynomial pounds quadratic quadratic equation quotient ratio real numbers rectangle SOLUTION Solve square miles square root square yards subtract surd symbols Transposing travels twice width x²+1 x²y x²y² xy² zero

### Popular passages

Page 3 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.

Page 78 - The sum of the ages of a father and his son is 36, and in 10 years the son's age will be | of the father's age.

Page 143 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.

Page 60 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 72 - I cannot demonstrate, that two quantities which are equal to the same quantity, are equal to each other; neither can I demonstrate that the tree which I perceive exists.

Page 172 - In any proportion, the product of the means equals the product of the extremes.

Page 74 - A term may be transposed from one member of an equation to the other by changing its sign.

Page 63 - Thus, |-, -f, f, f, -|-, etc., are improper fractions. The numerator and the denominator are called the terms of a fraction.

Page 167 - The ratio of one quantity to another quantity of the same kind is the quotient of the first quantity divided by the second quantity. Thus, the ratio of 2 feet to 3 feet 2 is the quotient of 2 feet divided by 3 feet, ie -• о Magnitudes of the same kind only can be compared.