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 16
... QUOTIENT . N RULE . 1. Assume as many figures on the left hand of the dividend as- contain the divisor once or oftener ; find how many times they contain it , and place the answer on the right for the first figure of the quotient . 2 ...
... QUOTIENT . N RULE . 1. Assume as many figures on the left hand of the dividend as- contain the divisor once or oftener ; find how many times they contain it , and place the answer on the right for the first figure of the quotient . 2 ...
Σελίδα 17
... Quotient . Divisor 5 ) 137906 ( 27581 10 5 How many times are 5 contained in 137906 ? PROOF . Multiply the divisor into the quotient , add the remainder if there be any , to the product ; if the work is right the sum will be equal to ...
... Quotient . Divisor 5 ) 137906 ( 27581 10 5 How many times are 5 contained in 137906 ? PROOF . Multiply the divisor into the quotient , add the remainder if there be any , to the product ; if the work is right the sum will be equal to ...
Σελίδα 18
... Quotient dividend , place the result under , and next figure as there are ones over . EXAMPLES . 254776-1 rem . ( 3 ) 5 ) 649871923 ( 2 ) 4 ) 1134152 283538 ( 4 ) 6 ) 1027182341 ( 5 ) 7 ) 25000321792 ( 6 ) 8 ) 11297653009 ( 7 ) 9 ...
... Quotient dividend , place the result under , and next figure as there are ones over . EXAMPLES . 254776-1 rem . ( 3 ) 5 ) 649871923 ( 2 ) 4 ) 1134152 283538 ( 4 ) 6 ) 1027182341 ( 5 ) 7 ) 25000321792 ( 6 ) 8 ) 11297653009 ( 7 ) 9 ...
Σελίδα 19
... quotient . ( 1 ) EXAMPLES . Divide 600065 by 1000 1 ( 000 ) 600 ) 065 ( 600 quotient , and 65 remainder . 2. Divide $ 65 by 10 . Ans . 36 and 5 rem . 3. Divide 5762 by 100 . Ans . 57 and 62 rem . 4. Divide 90764 by 1000 . Ans . 90 and ...
... quotient . ( 1 ) EXAMPLES . Divide 600065 by 1000 1 ( 000 ) 600 ) 065 ( 600 quotient , and 65 remainder . 2. Divide $ 65 by 10 . Ans . 36 and 5 rem . 3. Divide 5762 by 100 . Ans . 57 and 62 rem . 4. Divide 90764 by 1000 . Ans . 90 and ...
Σελίδα 20
... quotient of a certain number is 11940 , and the divisor 20 , what the dividend ? 8. How many feet are there in a mile , or 320 rods , allowing each rod contains 16 feet ? 9. How many yards in a mile , if 54 yds . Ans . 1985 Ans . 238800 ...
... quotient of a certain number is 11940 , and the divisor 20 , what the dividend ? 8. How many feet are there in a mile , or 320 rods , allowing each rod contains 16 feet ? 9. How many yards in a mile , if 54 yds . Ans . 1985 Ans . 238800 ...
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.