A Theoretical and Practical Arithmetic: In which the Principles of that Science are Clearly and Fully Explained; Being Intended as an Introduction to the Higher Branches of MathematicsS. Wood & sons, 1825 - 236 σελίδες |
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Σελίδα 69
... whole units there will be in the value of the fraction 27 . Let us here recollect that the expressions 27 and 27- ÷ 5 are the same . We have seen in multiplication , that the product of a num- ber by another number is equal to the sum ...
... whole units there will be in the value of the fraction 27 . Let us here recollect that the expressions 27 and 27- ÷ 5 are the same . We have seen in multiplication , that the product of a num- ber by another number is equal to the sum ...
Σελίδα 72
... all the primitive denomina- tors , this new denominator cannot fail to be the same ... number that will divide each of them with- out leaving a remainder ; thus ... fraction , will comport with this new denominator , we will multiply the ...
... all the primitive denomina- tors , this new denominator cannot fail to be the same ... number that will divide each of them with- out leaving a remainder ; thus ... fraction , will comport with this new denominator , we will multiply the ...
Σελίδα 80
... multiply a fraction by another fraction , we mus multiply the numerator of ... number by another , is to take the multi- plicand as many times as the ... whole number to multiply by a fraction , or a fraction by a whole number , we should ...
... multiply a fraction by another fraction , we mus multiply the numerator of ... number by another , is to take the multi- plicand as many times as the ... whole number to multiply by a fraction , or a fraction by a whole number , we should ...
Σελίδα 81
... multiply # 3 by 39 according to the above rule ( 106 , ) which gives me 2457-12217 . 20 = We might also perform this same operation , by first mul- tiplying the whole number and the fraction of the multipli- cand by the whole number of ...
... multiply # 3 by 39 according to the above rule ( 106 , ) which gives me 2457-12217 . 20 = We might also perform this same operation , by first mul- tiplying the whole number and the fraction of the multipli- cand by the whole number of ...
Σελίδα 82
... multiply by , the product will be the same whatever value of we multiply by . 9 27 2 9 × 2 Thus X. = 1 3 2 6 18 = = 18 , now . etc. and if we 3 9 27 ' 27 18 18 we shall ... whole number to divide by a fraction , we 82 BEZOUT'S ARITHMETIC .
... multiply by , the product will be the same whatever value of we multiply by . 9 27 2 9 × 2 Thus X. = 1 3 2 6 18 = = 18 , now . etc. and if we 3 9 27 ' 27 18 18 we shall ... whole number to divide by a fraction , we 82 BEZOUT'S ARITHMETIC .
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Συχνά εμφανιζόμενοι όροι και φράσεις
adding answers antecedents arithmetical complement arithmetical means arithmetical progression arithmetical proportion borrow bushels called ciphers column comma commence composed compound numbers consequently contain the divisor cube root decimals denominator difference divide division example expressed extremes is equal feet four numbers four quantities fourth term fraction gallons geometrical means geometrical progression geometrical proportion given numbers gives greater greatest common divisor hundred hundredth inches kind last figure last term Lastly least common multiple manner method minus multi multiplicand nine number consisting number of tens operation partial dividend payments pence perform pounds preceding principal unit principle proposed logarithm proposed number question quotient ratio reduce remainder Rule of Three separate shillings signifies square root square yard subtract the product supposition suppress take the half tenths third thousand thousandths tion twice unit figure whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 89 - ... 3 quarters, 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.
Σελίδα 2 - Congress of the United States, entitled "an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the time therein mentioned." And also to an act entitled "an act supplementary to an act entitled an act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned, and extending the benefits thereof to the...
Σελίδα 102 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Σελίδα 89 - TABLE. 60 seconds (") make 1 minute, '. 60 minutes " 1 degree, . . . °. 30 degrees
Σελίδα 87 - APOTHECARIES WEIGHT. 20 grains gr. make - - 1 scruple, 9 3 scruples - . - 1 drachm...
Σελίδα 89 - TABL.E. 60 seconds (s.) - make - 1 minute, marked m. 60 minutes ------ 1 hour, - - - - h. 24 hours -------1 day, - - - - d. 7 days ------- 1 week, - - - - w. 4 weeks ------ 1 month, - - - - mo 13 months, 1 day and 6 hours, ) 1 common, or > or 365 days and 6 hours, ) Julian year, j IT 37.
Σελίδα 229 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Σελίδα 197 - If the errors are alike, divide the difference of tire products by the difference of the errors, and the quotient will be the answer. 5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Σελίδα 155 - That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms.
Σελίδα 89 - ... gallons .... 1 barrel . . bar. 42 gallons .... 1 tierce . . tier. 63 gallons .... 1 hogshead . hhd. 84 gallons .... 1 puncheon . pun. 2 hogsheads ... 1 pipe, or butt.