Logarithmick Arithmetick: Containing a New and Correct Table of Logarithms of the Natural Numbers from 1 to 10,000, Extended to Seven Places Besides the Index; and So Contrived, that the Logarithm May be Easily Found to Any Number Between 1 and 10,000,000. Also an Easy Method of Constructing a Table of Logarithms, Together with Their Numerous and Important Uses in the More Difficult Parts of Arithmetick. To which are Added a Number of Astronomical Tables ... and an Easy Method of Calculating Solar and Lunar EclipsesE. Whitman, 1818 - 251 σελίδες |
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Σελίδα 3
... reduced to so much ease ! The author has endeavoured , though in some instances at the expense of deviating from ancient usage , to arrange the sever- al parts of Vulgar Arithmetick according to their relative im- portance , and their ...
... reduced to so much ease ! The author has endeavoured , though in some instances at the expense of deviating from ancient usage , to arrange the sever- al parts of Vulgar Arithmetick according to their relative im- portance , and their ...
Σελίδα 4
... Reduction -Of Sterling Money , Weights , Measures , & c . Reduction of Currencies Table of Coins current in the United States Simple Proportion or Rule of Three Of Logarithms Construction of Logarithms Another Method of Computing ...
... Reduction -Of Sterling Money , Weights , Measures , & c . Reduction of Currencies Table of Coins current in the United States Simple Proportion or Rule of Three Of Logarithms Construction of Logarithms Another Method of Computing ...
Σελίδα 5
... Reduction of Vulgar Fractions Addition of Vulgar Fractions Multiplication of Vulgar Fractions Division of Vulgar Fractions Simple Proportion in Vulgar Fractions . Reduction of Decimal Fractions Simple Proportion by Decimals Simple ...
... Reduction of Vulgar Fractions Addition of Vulgar Fractions Multiplication of Vulgar Fractions Division of Vulgar Fractions Simple Proportion in Vulgar Fractions . Reduction of Decimal Fractions Simple Proportion by Decimals Simple ...
Σελίδα 30
... reduced to a lower denomination . PROOF . Invert the order of the question . REDUCTION DESCENDING . RULE . Multiply the highest denomination given , by so many of the next less , as make one of that greater ; and thus continue till you ...
... reduced to a lower denomination . PROOF . Invert the order of the question . REDUCTION DESCENDING . RULE . Multiply the highest denomination given , by so many of the next less , as make one of that greater ; and thus continue till you ...
Σελίδα 31
... REDUCTION ASCENDING . RULE . Divide the lowest denomination given , by so many of that de- nomination , as make one of the next higher , and so on through all the denominations , as far as the question requires . PROOF . Multiply ...
... REDUCTION ASCENDING . RULE . Divide the lowest denomination given , by so many of that de- nomination , as make one of the next higher , and so on through all the denominations , as far as the question requires . PROOF . Multiply ...
Συχνά εμφανιζόμενοι όροι και φράσεις
amount annuity Anom arithmetical arithmetical mean Arithmetick ascending node axis bushels cent per annum cent pr centre circumference common compound interest cyphers decimal degrees denomination diameter difference Divide dividend divisor dollars dols earth Eclipse Ecliptick enter Table equal errour EXAMPLES farthings feet figures fourth frustrum Full Moon gallons given number horary motion improper fraction inches July least common multiple loga Lunar Eclipse mean Anomaly mean New Moon miles minuets minutes months Moon in March Moon's orbit Multiply natural number North descending number of terms old style pence penumbra perigee pound Precept present worth principal quotient ratio Reduce remainder rithm rods RULE seconds semidiameter shillings signs simple interest solid square root Sun fro Sun's anomaly Sun's distance Sun's mean distance syzygy Tabular number tare third TROY WEIGHT twice equated VULGAR FRACTIONS weight whole numbers yards
Δημοφιλή αποσπάσματα
Σελίδα 128 - ... sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend, 4. Raise the first term to a power whose index is one less than the number of the terms multiplied, and make the result a divisor. 5. Divide, and the quotient is the term sought. EXAMPLES. 4. If the first of a geometrical series be 4, and the ratio 3, what is the 7th term ? 0, 1, 2, 3, Indices.
Σελίδα 107 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Σελίδα 38 - Finally, multiplying the second and third terms together, divide the product by the first, and the quotient will be the answer in the same denomination as the third term.
Σελίδα 98 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 44 - In like manner, if any one index be subtracted from another, the difference will be the index of that number which is equal to the quotient of the two terms to which those indices belong.
Σελίδα 127 - RULE.* 1. Write down a few of the leading terms of the series, and place their indices over them, beginning with a cypher.
Σελίδα 114 - Let the farthings in the given pence and farthings possess the second and third places ; observing to increase the second place or place of hundredths, by 6 if the shillings be odd ; and the third place by 1 "when the farthings exceed 12, and by 2 when they exceed 36.
Σελίδα 125 - RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms. EXAMPLES FOR PRACTICE. 2. If the extremes be 5 and 605, and the number of terms 151, what is the sum of the series?
Σελίδα 6 - Four points set in the middle of four numbers, denote them to be proportional to one another, by the rule of three ; as 2 : 4 : : 8 : 16 ; that is, as 2 to 4, so is 8 to 16.