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 104
... SQUARE NUMBERS , AND THE EXTRACTION OF THEIR ROOTS . 129. We call the square of a number the product which results from the multiplication of that number into itself ; thus 25 is the square of 5 , because 25 is the result of the ...
... SQUARE NUMBERS , AND THE EXTRACTION OF THEIR ROOTS . 129. We call the square of a number the product which results from the multiplication of that number into itself ; thus 25 is the square of 5 , because 25 is the result of the ...
Σελίδα 105
... square root requires a method , at least , when the number or proposed square con- sists of more than two figures . When the proposed number has only one or two figures , its root , in integers , is some one of the numbers the 1 , 2 , 3 ...
... square root requires a method , at least , when the number or proposed square con- sists of more than two figures . When the proposed number has only one or two figures , its root , in integers , is some one of the numbers the 1 , 2 , 3 ...
Σελίδα 106
... square of the units . We afterward multiply the 5 above by the 4 below , which gives the product of the tens by the ... root , we can reason thus : EXAMPLE I. 2916 | 54 root . 416 104 000 Let us commence by finding the tens of this root ...
... square of the units . We afterward multiply the 5 above by the 4 below , which gives the product of the tens by the ... root , we can reason thus : EXAMPLE I. 2916 | 54 root . 416 104 000 Let us commence by finding the tens of this root ...
Σελίδα 107
... square teaches us that there is in 2916 the square of these tens , and that this square cannot make a part of the two last figures : it is then in 29 ; and as the square root of 29 cannot be a whole number greater than 5 , we thence ...
... square teaches us that there is in 2916 the square of these tens , and that this square cannot make a part of the two last figures : it is then in 29 ; and as the square root of 29 cannot be a whole number greater than 5 , we thence ...
Σελίδα 108
... root is in effect 54 . If any thing remained , the root would nevertheless be the true root in whole numbers , at least if this remainder were not greater than the double of the root ... square root of 7569 108 BEZOUT'S ARITHMETIC .
... root is in effect 54 . If any thing remained , the root would nevertheless be the true root in whole numbers , at least if this remainder were not greater than the double of the root ... square root of 7569 108 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.