An Elementary Treatise on Algebra: For the Use of Students in High Schools and CollegesSanborn, Carter, Bazin, 1841 - 300 páginas |
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Página vi
... Extraction of the second roots of numbers , .. 133 Irrational and imaginary quantities defined , .. 140 XXXI . Second roots of fractions and the extraction of second - roots by approximation , .... 141 XXXII . Questions producing pure ...
... Extraction of the second roots of numbers , .. 133 Irrational and imaginary quantities defined , .. 140 XXXI . Second roots of fractions and the extraction of second - roots by approximation , .... 141 XXXII . Questions producing pure ...
Página vii
... extraction of third roots by approximation , .. PAGE 163 XXXVI . Questions producing pure equations of the third degree , 166 XXXVII . Powers of monomials , XXXVIII . Powers of polynomials ,. XXXIX . Binomial theorem , XL . Roots of ...
... extraction of third roots by approximation , .. PAGE 163 XXXVI . Questions producing pure equations of the third degree , 166 XXXVII . Powers of monomials , XXXVIII . Powers of polynomials ,. XXXIX . Binomial theorem , XL . Roots of ...
Página 132
... , is 5 less than once and a half the number I have killed to - day . Required the number he killed each day . SECTION XXX . EXTRACTION OF THE SECOND ROOTS OF NUMBERS 132 XXIX . DISCUSSION OF PROBLEMS . Signification of the symbol.
... , is 5 less than once and a half the number I have killed to - day . Required the number he killed each day . SECTION XXX . EXTRACTION OF THE SECOND ROOTS OF NUMBERS 132 XXIX . DISCUSSION OF PROBLEMS . Signification of the symbol.
Página 133
... EXTRACTION OF THE SECOND ROOTS OF NUMBERS . Art . 86. What number is that , which , being multiplied by 7 times ... extracting the second root . The second root of a quantity then , is such as being multiplied by itself , will pro- duce ...
... EXTRACTION OF THE SECOND ROOTS OF NUMBERS . Art . 86. What number is that , which , being multiplied by 7 times ... extracting the second root . The second root of a quantity then , is such as being multiplied by itself , will pro- duce ...
Página 134
... is ten times too small , if we make the dividend ten times too small , the quotient will not be affected by this change . The divisor 4 is contained in 22 five times . Putting 5 at the right of the 2 134 XXX . EXTRACTION OF THE.
... is ten times too small , if we make the dividend ten times too small , the quotient will not be affected by this change . The divisor 4 is contained in 22 five times . Putting 5 at the right of the 2 134 XXX . EXTRACTION OF THE.
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Términos y frases comunes
3d power 3d root a² b² a² b³ a³ b³ added algebra ALGEBRAIC QUANTITIES antecedents arithmetical binomial bushels cent changing the signs coëfficient contain decimal degree Divide dividend division equal equation equidifference example expressed factors fifth power figures Find the 3d Find the 4th Find the third formula gives greater greatest common divisor Hence inequality integral quantity irrational quantities last term least common multiple less Let the learner logarithm manner mean proportionals monomial mth power negative quantity number of terms numerator and denominator obtain polynomial preceding progression by difference progression by quotient quan question radical sign ratio remainder Required the numbers result rods second power second root SECTION Simplify square Substitute subtract Suppose third power third root tity twice unknown quantity vulgar fraction whole number
Pasajes populares
Página 48 - ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2.
Página 52 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 139 - 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.
Página 25 - A shepherd in time of war was plundered by a party of soldiers, who took \ of his flock and \ of a sheep ; another party took from him \ of what he had left and \ of a sheep ; then a third party took \ of what now remained and J of a sheep.
Página 228 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 124 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Página 78 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Página 262 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 225 - In any proportion the terms are in proportion by Composition and Division; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.
Página 3 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.