The elements of algebraDeighton, 1841 - 305 páginas |
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Página 13
... difference of two fractions which have a com- mon denominator is found by taking the difference of their numerators , and subjoining the common denominator . Thus 4 3 1 - = - · 5 5 5 For , if the unit be supposed to be divided into five ...
... difference of two fractions which have a com- mon denominator is found by taking the difference of their numerators , and subjoining the common denominator . Thus 4 3 1 - = - · 5 5 5 For , if the unit be supposed to be divided into five ...
Página 18
... difference of two decimals place the figures of the same denomination under each other ; then subtract as in whole numbers , and place the decimal point under the other points . Ex . From 61.3 take 42.012 . These , reduced 18 DECIMAL ...
... difference of two decimals place the figures of the same denomination under each other ; then subtract as in whole numbers , and place the decimal point under the other points . Ex . From 61.3 take 42.012 . These , reduced 18 DECIMAL ...
Página 19
... difference is 19.288 ( Art . 34 ) . In the operation the cyphers may be omitted , thus , 61.3 42.012 19.288 MULTIPLICATION . 46. To multiply one decimal by another multiply the figures as in whole numbers , and point off as many deci ...
... difference is 19.288 ( Art . 34 ) . In the operation the cyphers may be omitted , thus , 61.3 42.012 19.288 MULTIPLICATION . 46. To multiply one decimal by another multiply the figures as in whole numbers , and point off as many deci ...
Página 22
... difference . Also 2.7183 is nearer to the true value than 2.7182 , as may be shewn in a similar manner . ] 54. To find the value of a decimal of one denomination in terms of a lower denomination . This may be done by the rule laid down ...
... difference . Also 2.7183 is nearer to the true value than 2.7182 , as may be shewn in a similar manner . ] 54. To find the value of a decimal of one denomination in terms of a lower denomination . This may be done by the rule laid down ...
Página 25
... difference is equal to the difference of their squares , Algebra teaches that the same is true for any two numbers whatever , whole or fractional . ] 58. Known or determined quantities are usually repre- sented by the first letters of ...
... difference is equal to the difference of their squares , Algebra teaches that the same is true for any two numbers whatever , whole or fractional . ] 58. Known or determined quantities are usually repre- sented by the first letters of ...
Términos y frases comunes
a²x² algebraical quantities annuity Arithmetical Progression ax² binomial Binomial Theorem coefficient common denominator contains continued fraction cube root difference digits divided divisible divisor equal expressed Extract the square factors find the number Find the value fraction given greater Greatest Common Measure Hence impossible roots last term Least Common Multiple less lowest terms multiplied negative number of terms numerator and denominator odd number original equation permutations Present Value probability proposed equation proposed quantity prove quadratic quadratic equation quadratic surds quan quotient ratio Reduce to lowest remainder represented Required the value rule shew shillings signs square root substituted subtracted suppose supposition surd unknown quantity vulgar fraction whole number
Pasajes populares
Página 91 - This process of adding the square of half the coefficient of the first power of the unknown quantity to the first member, in order to make it a perfect square, is called COMPLETING THE SQUARE.
Página 87 - A laborer agreed to serve for 36 days on condition that for every day he worked he should receive $1.25, and for every day he was absent he should forfeit 50 cents.
Página 110 - If the product of two quantities be equal to the product of two others, two of them may be made the extremes and the other two the means of a proportion.
Página 79 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 49 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Página 125 - Progression may be found by multiplying the sum of the first and last terms by half the number of terms.
Página 113 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 106 - Ratio is the relation which one quantity bears to another in respect of magnitude, the comparison being made by considering what multiple, part, or parts, one is of the other.
Página 24 - The sign of equality, called equal, or equal to, signifies that the quantities between which it is placed are equal to each other.
Página 15 - Multiply as in whole numbers, and point off as many decimal places in the product as there are in both multiplicand and multiplier. DIVISION. Divide as in whole numbers, and point off...