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 6
... fourth power , & c . MULTIPLICATION TABLE . 1 2 3 4 5 67 ୪ 9 30 12 2 4 6 810 12 14 20 22 24 36 2/15/18 21 24 . 30 33 36 4 ୪ 12 16 120 124 128 132 10 44 48 5 10 15 2025 30 35 40 45 50 | 55 | 60 Ο 12 18 24 30 136 48 54 666 72 7 4. 21 28 ...
... fourth power , & c . MULTIPLICATION TABLE . 1 2 3 4 5 67 ୪ 9 30 12 2 4 6 810 12 14 20 22 24 36 2/15/18 21 24 . 30 33 36 4 ୪ 12 16 120 124 128 132 10 44 48 5 10 15 2025 30 35 40 45 50 | 55 | 60 Ο 12 18 24 30 136 48 54 666 72 7 4. 21 28 ...
Σελίδα 38
... fourth , which multiplied into the first , shall be equal to the pro- duct of the other two : or the RULE OF THREE teaches , by having three numbers given , to find a fourth , which shall have to the second the same ratio , that the ...
... fourth , which multiplied into the first , shall be equal to the pro- duct of the other two : or the RULE OF THREE teaches , by having three numbers given , to find a fourth , which shall have to the second the same ratio , that the ...
Σελίδα 48
... fourth by 7 , and so on . 4. Add all these last quotients together , and the sum will be the logarithm of the greater numbes divided by the less ; there- fore to this logarithm , add also the logarithm of the lesser num- ber , and their ...
... fourth by 7 , and so on . 4. Add all these last quotients together , and the sum will be the logarithm of the greater numbes divided by the less ; there- fore to this logarithm , add also the logarithm of the lesser num- ber , and their ...
Σελίδα 54
... fourth proportional to 7964 , 378 , and 27960 . Numbers . Second term 378 Third term 27960 Logarithms . 2.5774918 4.4465372 7.0240290 First term 7964 3.9011313 Fourth term 1327 3.1228977 3 Find a fourth proportional to 768 , 381 , and ...
... fourth proportional to 7964 , 378 , and 27960 . Numbers . Second term 378 Third term 27960 Logarithms . 2.5774918 4.4465372 7.0240290 First term 7964 3.9011313 Fourth term 1327 3.1228977 3 Find a fourth proportional to 768 , 381 , and ...
Σελίδα 55
... fourth proportional to 768 , 381 , and 9780 . Numbers . Logarithms . 3econd term 381 2.5809250 Third term 9780 3.9903389 6.5712639 First term 768 2.8853612 Fourth term 4852 3.6859027 * ARITHMETICAL COMPLEMENT . The difference between a ...
... fourth proportional to 768 , 381 , and 9780 . Numbers . Logarithms . 3econd term 381 2.5809250 Third term 9780 3.9903389 6.5712639 First term 768 2.8853612 Fourth term 4852 3.6859027 * ARITHMETICAL COMPLEMENT . The difference between a ...
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.