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 35
... term in the multiplicand , beginning at the lowest , by the feet in the multiplier , and write each result un- der its respective term , observing to carry an unite for every 12 , from each lower denomination , to its next superiour ...
... term in the multiplicand , beginning at the lowest , by the feet in the multiplier , and write each result un- der its respective term , observing to carry an unite for every 12 , from each lower denomination , to its next superiour ...
Σελίδα 38
... term in stating . 2. Observe farther ; the third term is always a demand , and may be known by its asking the question . RULE . 1. Write the numbers so that the term which asks the ques- tion may possess the third place , and that which ...
... term in stating . 2. Observe farther ; the third term is always a demand , and may be known by its asking the question . RULE . 1. Write the numbers so that the term which asks the ques- tion may possess the third place , and that which ...
Σελίδα 39
... term : Multiply the first and second terms together , and divide the product by the third . The quotient will be the an- swer in the same denomination as the middle term . EXAMPLES . 1. If 6 yards cost $ 18 , what will 12 yards cost at ...
... term : Multiply the first and second terms together , and divide the product by the third . The quotient will be the an- swer in the same denomination as the middle term . EXAMPLES . 1. If 6 yards cost $ 18 , what will 12 yards cost at ...
Σελίδα 44
... terms , in the geometrick progression , to which those indices , or loga- rithms belong . Thus , the logarithms 2 and 3 , being added together , make 5 , cor- responding to 100000 , the product of 100 , into 1000 , and the logarithms 1 ...
... terms , in the geometrick progression , to which those indices , or loga- rithms belong . Thus , the logarithms 2 and 3 , being added together , make 5 , cor- responding to 100000 , the product of 100 , into 1000 , and the logarithms 1 ...
Σελίδα 54
... term . The remainder will be the logarithm of the term required . If the proportion be inverse , add the logarithms of the first and second terms , and from the sum subtract the logarithm of the third . The remainder will be the ...
... term . The remainder will be the logarithm of the term required . If the proportion be inverse , add the logarithms of the first and second terms , and from the sum subtract the logarithm of the third . The remainder will be the ...
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.