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 63
... error ; but as there must be , as we see , at least two errors , and two errors which balance , or at least which differ only by a certain number of times 9 , the cases in which this verification would be faulty , will be very rare in ...
... error ; but as there must be , as we see , at least two errors , and two errors which balance , or at least which differ only by a certain number of times 9 , the cases in which this verification would be faulty , will be very rare in ...
Σελίδα 112
... error which would result in the square may be less than any given quantity . This approximation is conveniently made by means of decimals . We must conceive on the right of the proposed number twice as many ciphers as we would have ...
... error which would result in the square may be less than any given quantity . This approximation is conveniently made by means of decimals . We must conceive on the right of the proposed number twice as many ciphers as we would have ...
Σελίδα 116
... error in the last figure would be five units ; instead of which , in limiting ourselves to one figure less , as we have done , the last figure will never vary a unit . If , after we have found the first figures of the root , by the ...
... error in the last figure would be five units ; instead of which , in limiting ourselves to one figure less , as we have done , the last figure will never vary a unit . If , after we have found the first figures of the root , by the ...
Σελίδα 179
... error ; but we can always carry the approxima- tion with confidence as far as two decimals : the remark that we here make ought also to direct in the use that we have made above ( 239 and 243 , ) of the same proportion . 246. If we ...
... error ; but we can always carry the approxima- tion with confidence as far as two decimals : the remark that we here make ought also to direct in the use that we have made above ( 239 and 243 , ) of the same proportion . 246. If we ...
Σελίδα 185
... error , when arithmetical complements enter into the logarithms of which we make use , we should be careful to add to the index or to subtract from it as many tens as are necessary , to the end that the number by which it is too great ...
... error , when arithmetical complements enter into the logarithms of which we make use , we should be careful to add to the index or to subtract from it as many tens as are necessary , to the end that the number by which it is too great ...
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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.