First Lessons in Algebra: Embracing the Elements of the ScienceWiley & Putnam, 1839 - 252 sider |
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Side 7
... Geometrical Progression , - 166 Last Term - Sum of the Series , 167-171 Progressions having an Infinite Number of Terms , 171-172 The Five Numbers - To Find One Mean 172-173 J FIRST LESSONS IN ALGE BRA . CHAPTER I. Preliminary CONTENTS . 7.
... Geometrical Progression , - 166 Last Term - Sum of the Series , 167-171 Progressions having an Infinite Number of Terms , 171-172 The Five Numbers - To Find One Mean 172-173 J FIRST LESSONS IN ALGE BRA . CHAPTER I. Preliminary CONTENTS . 7.
Side 61
... terms of the divisor , and multiply the fractions together as in the last case . 1. Divide . EXAMPLES . 10 5 by 24 If the divisor were 5 , the 10 quotient would be 12. But , since the divisor is of 5 , the true quotient must bè 8 times ...
... terms of the divisor , and multiply the fractions together as in the last case . 1. Divide . EXAMPLES . 10 5 by 24 If the divisor were 5 , the 10 quotient would be 12. But , since the divisor is of 5 , the true quotient must bè 8 times ...
Side 67
... terms , and multiplying the entire term by 72 ; the equation then becomes 48x - 54x + 12x = 792 , or dividing by 6 8x 9x + 2x = 132 . But this last equation can be obtained in a shorter way , by , finding the least common multiple of ...
... terms , and multiplying the entire term by 72 ; the equation then becomes 48x - 54x + 12x = 792 , or dividing by 6 8x 9x + 2x = 132 . But this last equation can be obtained in a shorter way , by , finding the least common multiple of ...
Side 128
... term to the right , until we reach the last term , which does not contain the leading letter . 2nd . The exponent of the second letter is 1 in the second term , and increases by unity in each term to the right , until we reach the last ...
... term to the right , until we reach the last term , which does not contain the leading letter . 2nd . The exponent of the second letter is 1 in the second term , and increases by unity in each term to the right , until we reach the last ...
Side 129
... term is unity . efficient of the second term is the same as the exponent of the given power . The coefficient of the ... last result BINOMIAL THEOREM . 129.
... term is unity . efficient of the second term is the same as the exponent of the given power . The coefficient of the ... last result BINOMIAL THEOREM . 129.
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First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1840 |
First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1839 |
First Lessons in Algebra: Embracing the Elements of the Science Charles Davies Uten tilgangsbegrensning - 1841 |
Vanlige uttrykk og setninger
algebraic quantities arithmetical means arithmetical progression binomial Binomial Theorem called cents common denominator common difference complete equation completing the square composed contain contrary sign cube decimal denotes Divide dividend division divisor dollars double product enunciation equation involving EXAMPLES exponent extracting the square fifth power figure find a number Find the square Find the sum Find the values following RULE four quantities fourth power geometrical progression Give the rule given number greater greyhound Hence last term least common multiple minus mixed quantity monomial Multiply negative number expressed number of terms obtain ounces of silver perfect square polynomial question quotient radical sign ratio Reduce remainder second degree second power second term simplest form square root Substituting this value take the equation tens third three terms tion transposing trinomial twice the product unknown quantity values of x Verification whence yards
Populære avsnitt
Side 230 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A ; B ; : C : D; and read, A is to B as C to D.
Side 231 - Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent is compared either with antecedent or consequent.
Side 155 - Obtain the exponent of each literal factor in the quotient by subtracting the exponent of each letter in the divisor from the exponent of the same letter in the dividend; Determine the sign of the result by the rule that like signs give plus, and unlike signs give minus.
Side 233 - AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Side 175 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Side 138 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend But if any of the products should be greater than the dividend, diminish the last figure of the root.
Side 214 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.
Side 35 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.
Side 214 - To find a number such that if you subtract it from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3.
Side 230 - Of four proportional quantities, the first and third are called the antecedents, and the second and fourth the consequents ; and the last is said to be a fourth proportional to the other three taken in order...