## Arithmetic and Algebra in Their Principles and Application ...Macmillan, 1857 |

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A's share a²+b² a²x² acres algebraical amount Arithmetical arithmetical mean Arithmetical Progression arithmetical series cent compound interest contained cost cube root cubic cyphers decimal places denotes digits Divide dividend divisor dwts equal equation Examples for practice expression factors farthings feet figures Find the number Find the sum Find the value gallons geometrical Geometrical Progression given number greatest common measure guineas hundred inches least common multiple length logarithms lowest terms miles moidore multiplied number of terms numerator and denominator pound quadratic equation quotient ratio recurring decimal Reduce remainder result Rule given sells shew shillings simple interest square root subtract thousand units vulgar fractions whence whole number yards

### Popular passages

Page 36 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.

Page 34 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.

Page 57 - If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered.

Page 60 - If a quantity be multiplied by itself any number of times, the product is called a power of that quantity, and is expressed by writing the number of factors to the right of the quantity and above it.

Page 354 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.

Page 88 - A square inch is a square, each of whose sides is an inch in length ; a square yard is a square, each of whose sides is a yard in length. 144 Square Inches make 1 Square Foot...l sq.

Page 48 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 93 - Fahrenheit's thermometer, shall be and is hereby denominated the " imperial standard yard," and shall be and is hereby declared to be the unit or only standard measure of extension, wherefrom or whereby all other measures of extension whatsoever, whether the same be lineal, superficial or solid, shall be derived, computed and ascertained; and...

Page 33 - An Improper Fraction is one whose numerator is equal to, or greater than, the denominator; as, f, f.

Page 27 - ... product of all the divisors and numbers in the last line will be the least common multiple required.