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 18
... 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 conclude that the ...
... 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 conclude that the ...
Σελίδα 20
... leaves 5 , which I write under that column . Lastly , at the fourth , I say 5 from 8 leaves 3 , which I write under 5 , and I have 3522 for the remainder of 5432 taken from 8954 . EXAMPLE II . If we would take 7987 from 27646 , we write ...
... leaves 5 , which I write under that column . Lastly , at the fourth , I say 5 from 8 leaves 3 , which I write under 5 , and I have 3522 for the remainder of 5432 taken from 8954 . EXAMPLE II . If we would take 7987 from 27646 , we write ...
Σελίδα 21
... leaves 5 . that cannot be done , and as it is the next figure which is a cipher , we borrow a unit from the two , which is worth one thousand with regard to the figure upon which we are operating . Of this thousand we take ten only ...
... leaves 5 . that cannot be done , and as it is the next figure which is a cipher , we borrow a unit from the two , which is worth one thousand with regard to the figure upon which we are operating . Of this thousand we take ten only ...
Σελίδα 22
... leaves 5 , which 1 write underneath . Lastly , at the fourth column , I add 1 to 7 which makes 8 , and 8 taken from 9 leaves 1 ; I have there- fore 1549 for the remainder . It will be easily seen that by this method the numbers are both ...
... leaves 5 , which 1 write underneath . Lastly , at the fourth column , I add 1 to 7 which makes 8 , and 8 taken from 9 leaves 1 ; I have there- fore 1549 for the remainder . It will be easily seen that by this method the numbers are both ...
Σελίδα 38
... leaves 8 , I write 8 under 2 and carry 1 to the next figure on the left , then 1 and 5 are 6 , and as I cannot take 6 from- 2 , I say 6 from 12 leaves 6 which I write under 5 , and carrying 1 to 3 which makes 4 , I say 4 from 5 leaves 1 ...
... leaves 8 , I write 8 under 2 and carry 1 to the next figure on the left , then 1 and 5 are 6 , and as I cannot take 6 from- 2 , I say 6 from 12 leaves 6 which I write under 5 , and carrying 1 to 3 which makes 4 , I say 4 from 5 leaves 1 ...
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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.