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 σελίδες |
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Σελίδα 3
... calculations which they are to make . But a higher object is proposed , in the case of those who are acquiring a liberal education . The main design should be to call into exercise , to discipline , and Hect of sci .
... calculations which they are to make . But a higher object is proposed , in the case of those who are acquiring a liberal education . The main design should be to call into exercise , to discipline , and Hect of sci .
Σελίδα 7
... to complete and apply the calculations , in almost every other department of the mathematics . B MATHEMATICS . 4. ALGEBRA is a method of computing principally Introductory Observations, on the Mathematics general, ALGEBRA.
... to complete and apply the calculations , in almost every other department of the mathematics . B MATHEMATICS . 4. ALGEBRA is a method of computing principally Introductory Observations, on the Mathematics general, ALGEBRA.
Σελίδα 7
... calculating the profits of trade : in Navigation , for directing the course of a ship on the ocean , adapting the position of her sails to the direc- tion of the wind , finding her latitude and longitude , and determining the bearings ...
... calculating the profits of trade : in Navigation , for directing the course of a ship on the ocean , adapting the position of her sails to the direc- tion of the wind , finding her latitude and longitude , and determining the bearings ...
Σελίδα 11
... calculation may be greatly abridged by the use of letters ; especially when very large numbers are concerned . And when several such numbers are to be combined , as in multiplication , the process becomes extremely tedious . But a ...
... calculation may be greatly abridged by the use of letters ; especially when very large numbers are concerned . And when several such numbers are to be combined , as in multiplication , the process becomes extremely tedious . But a ...
Σελίδα 12
... calculation must be known . For they are expressed in numbers . And every number must necessarily be a determinate quantity . But in alge- bra , a letter may be put for a quantity , before its value has been ascertained . And yet it And ...
... calculation must be known . For they are expressed in numbers . And every number must necessarily be a determinate quantity . But in alge- bra , a letter may be put for a quantity , before its value has been ascertained . And yet it And ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 265 - The operation consists in repeating the multiplicand as many times as there are units in the multiplier.
Σελίδα 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.
Σελίδα 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.
Σελίδα 40 - We have seen that multiplying by a whole number, is taking the multiplicand as many times as there are units in the multiplier.
Σελίδα 85 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Σελίδα 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.
Σελίδα 60 - The Value of a fraction is the quotient of the numerator divided by the denominator.
Σελίδα 61 - ... produce the same effect on the value of the fraction, as multiplying the numerator. In all cases...