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 139
... 199872 146186 223896 190355 137912 214251181290 130105 205028 172057122741 , 196299 164436 115793 187750 156605 109182 • 179659 149148103002 171929 142046097170 Mean New Moon in March . Sun's thea Anomaly . ARITHMETICK . 139.
... 199872 146186 223896 190355 137912 214251181290 130105 205028 172057122741 , 196299 164436 115793 187750 156605 109182 • 179659 149148103002 171929 142046097170 Mean New Moon in March . Sun's thea Anomaly . ARITHMETICK . 139.
Σελίδα 143
... anomaly is 0 , and with the least , when the anomaly is 6 signs . When the luminary is in its apogee or its perigee , its place . is the same as it would be , if its motion were equable in all parts of its orbit . The supposed equable ...
... anomaly is 0 , and with the least , when the anomaly is 6 signs . When the luminary is in its apogee or its perigee , its place . is the same as it would be , if its motion were equable in all parts of its orbit . The supposed equable ...
Σελίδα 144
... anomalies of the Sun and Moon , and the Sun's mean distance from the ascending node of the Moon's orbit , are set down in Table III , from one to 13 mean lunations . The numbers , for 12 lunations , being added to the radical anomalies ...
... anomalies of the Sun and Moon , and the Sun's mean distance from the ascending node of the Moon's orbit , are set down in Table III , from one to 13 mean lunations . The numbers , for 12 lunations , being added to the radical anomalies ...
Σελίδα 145
... anomaly is more . Hence it is evident , that while the Sun's anonaly is less than 6 signs , the Moon will overtake him , or be opposite to him , sooner than she could if his motion were equable ; and later while his anomaly is more than ...
... anomaly is more . Hence it is evident , that while the Sun's anonaly is less than 6 signs , the Moon will overtake him , or be opposite to him , sooner than she could if his motion were equable ; and later while his anomaly is more than ...
Σελίδα 146
... anomaly , the difference is gradually less , and vanishes when the anomaly is either 0 , or 6 signs . The Sun is in his apogee on the 30th . of June , and in his perigee on the 30th . of December , in the present age ; so that he is ...
... anomaly , the difference is gradually less , and vanishes when the anomaly is either 0 , or 6 signs . The Sun is in his apogee on the 30th . of June , and in his perigee on the 30th . of December , in the present age ; so that he is ...
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
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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.