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 4
... logarithms from one to ten thousand , instead of a small table from one to two hundred , are the principal augmentations which I have thought proper to make . The text of Bezout is numbered according to the order which he established ...
... logarithms from one to ten thousand , instead of a small table from one to two hundred , are the principal augmentations which I have thought proper to make . The text of Bezout is numbered according to the order which he established ...
Σελίδα 159
... logarithms ; we shall have occasion to return to them elsewhere . * The sum of the terms of an arithmetical progression is equal to half the sum of the extremes multiplied by the num- ber of terms . Let us take , for example , the ...
... logarithms ; we shall have occasion to return to them elsewhere . * The sum of the terms of an arithmetical progression is equal to half the sum of the extremes multiplied by the num- ber of terms . Let us take , for example , the ...
Σελίδα 164
... Logarithms . ( † ) ́We have not given a method for extracting the tenth root of a number , but it is the same with this as with the square and cube roots ; the square root cannot have more than one figure when the proposed number has ...
... Logarithms . ( † ) ́We have not given a method for extracting the tenth root of a number , but it is the same with this as with the square and cube roots ; the square root cannot have more than one figure when the proposed number has ...
Σελίδα 166
... , w , g L ( s — a ) —L ( s — w ) L ( sq — s + a ) —La n Lq La - L ( aq ― sq + s ) . Lq -・ an- n 1 Sa 1 ) . S = wq . q W gr OF LOGARITHMS . 216. Logarithms are numbers in arithmetical progression 166 BEZOUT'S ARITHMETIC .
... , w , g L ( s — a ) —L ( s — w ) L ( sq — s + a ) —La n Lq La - L ( aq ― sq + s ) . Lq -・ an- n 1 Sa 1 ) . S = wq . q W gr OF LOGARITHMS . 216. Logarithms are numbers in arithmetical progression 166 BEZOUT'S ARITHMETIC .
Σελίδα 167
... logarithm of the term which is in the same place in the upper series . 217. The same number may then have an infinity of dif- ferent logarithms , since to the same geometrical progression we can make correspond an infinity of different ...
... logarithm of the term which is in the same place in the upper series . 217. The same number may then have an infinity of dif- ferent logarithms , since to the same geometrical progression we can make correspond an infinity of different ...
Άλλες εκδόσεις - Προβολή όλων
A Theoretical and Practical Arithmetic: In Which the Principles of That ... Etienne Bezout Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
A Theoretical and Practical Arithmetic: In Which the Principles of That ... Bézout Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
A Theoretical and Practical Arithmetic: In Which the Principles of That ... Bezout Bezout Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
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.