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 Eclipses |
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Page 5
... True Time of New and Fuil Do. for Calculating the true time of New or Full Moon 165 To Calculate the true place of the Sun for any given Moment 139 142 149-165 165 of Time · 186 To know whether there is an Eclipse at the time of any New ...
... True Time of New and Fuil Do. for Calculating the true time of New or Full Moon 165 To Calculate the true place of the Sun for any given Moment 139 142 149-165 165 of Time · 186 To know whether there is an Eclipse at the time of any New ...
Page 18
... true remainder . ( 1 ) EXAMPLES . Divide 460000 by 1200 12 ( 00 ) 4600 ( 00 ( 383 Ans . ( 2 ) Divide 7600 by 40 4 ( 0 ) 760 ( 0 ( 190 Ans . 4 36 100 96 40 36 36 36 400 true remainder . 3. Divide 7380964 by 23000 . 4. Divide 11659112 by ...
... true remainder . ( 1 ) EXAMPLES . Divide 460000 by 1200 12 ( 00 ) 4600 ( 00 ( 383 Ans . ( 2 ) Divide 7600 by 40 4 ( 0 ) 760 ( 0 ( 190 Ans . 4 36 100 96 40 36 36 36 400 true remainder . 3. Divide 7380964 by 23000 . 4. Divide 11659112 by ...
Page 48
... True Log . of 2 . .301029995 EXAMPLE 2d . Let it be required to compute the logarithm of 3 Here the given number is 3 , and the next less is 2 , whose logarithm by the first example is .301029995 , and the sum also , of the 2 numbers ...
... True Log . of 2 . .301029995 EXAMPLE 2d . Let it be required to compute the logarithm of 3 Here the given number is 3 , and the next less is 2 , whose logarithm by the first example is .301029995 , and the sum also , of the 2 numbers ...
Page 50
... true logarithm of 1000 to 7 places . Having thus found the difference of the logarithms of any two numbers differing by unity , or 1 , and consequently , some of the logarithms , by dividing the difference found by the Arith- metical ...
... true logarithm of 1000 to 7 places . Having thus found the difference of the logarithms of any two numbers differing by unity , or 1 , and consequently , some of the logarithms , by dividing the difference found by the Arith- metical ...
Page 58
... true value of a Decimal Fraction is prop- erly expressed by writing the numerator , only with a point be- fore it on the left . Thus , instead of of { ΤΤ 75 100 .5 .75 write { .837 & c . 837 1000 But if the denominator has not so many ...
... true value of a Decimal Fraction is prop- erly expressed by writing the numerator , only with a point be- fore it on the left . Thus , instead of of { ΤΤ 75 100 .5 .75 write { .837 & c . 837 1000 But if the denominator has not so many ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 98 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Page 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.
Page 127 - RULE.* 1. Write down a few of the leading terms of the series, and place their indices over them, beginning with a cypher.
Page 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.
Page 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?
Page 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.