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 5
... taken , in general , arbitrarily , to serve as a term of comparison to all quantities of the same kind : thus when we say , a certain body weighs five pounds , the pound is the unit ; it is the quantity to which we compare the weight of ...
... taken , in general , arbitrarily , to serve as a term of comparison to all quantities of the same kind : thus when we say , a certain body weighs five pounds , the pound is the unit ; it is the quantity to which we compare the weight of ...
Σελίδα 18
... taken from 13 , leaves 1 or ten , which added to the figure 7 , makes 17. I add likewise all the figures in the column of units , saying , S and 4 are 7 , and 3 are 10 , and 7 are 17 , which taken from 17 leaves nothing ; whence I ...
... taken from 13 , leaves 1 or ten , which added to the figure 7 , makes 17. I add likewise all the figures in the column of units , saying , S and 4 are 7 , and 3 are 10 , and 7 are 17 , which taken from 17 leaves nothing ; whence I ...
Σελίδα 19
... taken from it : the re- mainder will always be the same . EXAMPLE 1 . We propose to take 5432 from 8954 . I write these two numbers as follows : 8954 5432 3522 And in commencing with the unit figure , I say BEZOUT'S ARITHMETIC . 19.
... taken from it : the re- mainder will always be the same . EXAMPLE 1 . We propose to take 5432 from 8954 . I write these two numbers as follows : 8954 5432 3522 And in commencing with the unit figure , I say BEZOUT'S ARITHMETIC . 19.
Σελίδα 20
... taken from 8954 . EXAMPLE II . If we would take 7987 from 27646 , we write 27646 7987 19659 As we cannot take 7 from 6 , we add ten units to the 6 which we borrow in taking a unit from the figure 4 , and we say 7 from 16 leaves 9 ...
... taken from 8954 . EXAMPLE II . If we would take 7987 from 27646 , we write 27646 7987 19659 As we cannot take 7 from 6 , we add ten units to the 6 which we borrow in taking a unit from the figure 4 , and we say 7 from 16 leaves 9 ...
Σελίδα 21
... , because 3 cannot be taken from 2 , I add ten to 2 which makes 12 : I then say 3 from 12 leaves 9 , which I write under 3 and proceeding to the next column , I add 1 to & which makes 9 , and as 9 is BEZOUT'S ARITHMETIC . 21.
... , because 3 cannot be taken from 2 , I add ten to 2 which makes 12 : I then say 3 from 12 leaves 9 , which I write under 3 and proceeding to the next column , I add 1 to & which makes 9 , and as 9 is BEZOUT'S ARITHMETIC . 21.
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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.