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 4
... common business of life must be conducted upon proba- ble evidence , and not upon principles which admit of com- plete demonstration . There would be weight in this objec- tion , if the attention were confined to the pure mathematics ...
... common business of life must be conducted upon proba- ble evidence , and not upon principles which admit of com- plete demonstration . There would be weight in this objec- tion , if the attention were confined to the pure mathematics ...
Σελίδα 7
... common transactions of business . Thus , in Surveying , mathematical prin- ciples are applied to the measuring of land ; in Op- tics , to the properties of light ; and in Astronomy , to the motions of the heavenly bodies . 8. The ...
... common transactions of business . Thus , in Surveying , mathematical prin- ciples are applied to the measuring of land ; in Op- tics , to the properties of light ; and in Astronomy , to the motions of the heavenly bodies . 8. The ...
Σελίδα 7
... common , obvious mode of conducting a demonstrative argument . But , in some instances , it is necessary to resort to indirect demonstration ; which is a method of establishing a proposition , by proving that to suppose it not true ...
... common , obvious mode of conducting a demonstrative argument . But , in some instances , it is necessary to resort to indirect demonstration ; which is a method of establishing a proposition , by proving that to suppose it not true ...
Σελίδα 7
... common concerns of business , in the useful arts , and in the various branches of physical science , are almost innumerable . Mathematical principles are necessary , in mercantile transactions , for keeping , ar- ranging , and settling ...
... common concerns of business , in the useful arts , and in the various branches of physical science , are almost innumerable . Mathematical principles are necessary , in mercantile transactions , for keeping , ar- ranging , and settling ...
Σελίδα 7
... to contribute their aid , to the common arts of life . 22. But an additional and more important advan- tåge , to persons of a liberal education , is to be found , MATHEMATICS . in the enlargement and improvement of the reason-
... to contribute their aid , to the common arts of life . 22. But an additional and more important advan- tåge , to persons of a liberal education , is to be found , MATHEMATICS . in the enlargement and improvement of the reason-
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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...