An Introduction to Algebra: Being the First Part of a Course of Mathematics, Adapted to the Method of Instruction in the American CollegesHowe & Deforest, 1814 - 303 sider |
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Resultat 1-5 av 19
Side 94
... exponent of the power . Thus a is put for axa or aa , because the root a is twice repeated as a factor , to produce the power aa ... Exponents must not be confounded with co - efficients . " A co - efficient shows how often a quantity is.
... exponent of the power . Thus a is put for axa or aa , because the root a is twice repeated as a factor , to produce the power aa ... Exponents must not be confounded with co - efficients . " A co - efficient shows how often a quantity is.
Side 95
... exponent shows how often a quantity is ta- ken as a factor in a product . Thus 4a = a + a + a + a . But a * axaxaxa . 202. The scheme of notation by exponents has the pe- culiar advantage of enabling us to express an unknown pow- er ...
... exponent shows how often a quantity is ta- ken as a factor in a product . Thus 4a = a + a + a + a . But a * axaxaxa . 202. The scheme of notation by exponents has the pe- culiar advantage of enabling us to express an unknown pow- er ...
Side 100
... exponents , without an actual multiplication . Thus the square of a + b , is a + b2 , or ( a + b ) 2 . Art . 203 . The nth power of be + 8 + x , is ( bc + 8 + x ) " . In cases of this kind , the vinculum must be drawn over all the terms ...
... exponents , without an actual multiplication . Thus the square of a + b , is a + b2 , or ( a + b ) 2 . Art . 203 . The nth power of be + 8 + x , is ( bc + 8 + x ) " . In cases of this kind , the vinculum must be drawn over all the terms ...
Side 105
... exponent is the sum of the exponents of the factors . Thus a * xa3 aa × aaaaaaaa = a3 . Here 5 , the exponent of the product , is equal to 2 + 3 , the sum of the exponents of the factors , So a " × a2 = an + m ̧ For a " , is a taken for ...
... exponent is the sum of the exponents of the factors . Thus a * xa3 aa × aaaaaaaa = a3 . Here 5 , the exponent of the product , is equal to 2 + 3 , the sum of the exponents of the factors , So a " × a2 = an + m ̧ For a " , is a taken for ...
Side 106
... exponents are +3 , and −2 ; and the sum of these is 1 , according to the second case of reduction in addition . ( Art . 74. ) 5. a " xamam - n . That is am an ・ xam : an 6. y ̃ * × y2 = y ° = 1 . That is 1 32 . yz xyz = 1 . y2 235. If ...
... exponents are +3 , and −2 ; and the sum of these is 1 , according to the second case of reduction in addition . ( Art . 74. ) 5. a " xamam - n . That is am an ・ xam : an 6. y ̃ * × y2 = y ° = 1 . That is 1 32 . yz xyz = 1 . y2 235. If ...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ... Jeremiah Day Uten tilgangsbegrensning - 1853 |
An Introduction to Algebra: Being the First Part of a Course of Mathematics ... Jeremiah Day Uten tilgangsbegrensning - 1819 |
Vanlige uttrykk og setninger
12 rods abscissa added algebraic antecedent applied arithmetic become binomial calculation called Clearing of fractions co-efficients Completing the square compound quantity consequent cube root cubic equation curve demonstration denominator diminished dividend division divisor dollars equa equal quantities errour Euclid exponents expressed Extracting and transp factors fourth geometrical geometrical progression given quantity greater Hence inches infinite series inverted involution last term less letters manner mathematics Mult multiplicand negative quantity notation nth power nth root number of terms ordinate parallelogram perpendicular positive prefixed principle Prob Prod proportion proposition quadratic equation quan quotient radical quantities radical sign ratio reciprocal Reduce the equation remainder rule SECTION sides square root substituted subtracted subtrahend supposed supposition theorem third tion tity Transposing transposition triangle twice uniting terms unknown quantity varies vulgar fraction whole
Populære avsnitt
Side 214 - In an arithmetical progression, the sum of the extremes is equal to the sum of any other two terms equally distant from the extremes.
Side 188 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
Side 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Side 227 - 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.
Side 189 - If four quantities are proportional, THE ORDER OF THE MEANS, OR OF THE EXTREMES, OR OF THE TERMS OF BOTH COUPLETS, MAY BE INVERTED, WITHOUT DESTROYING THE PROPORTION.
Side 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Side 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Side 187 - When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion.
Side 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Side 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...