A B C Five-figure Logarithms with Tables, for Chemists.
Logarithms are valuable in their way, but there are many useful and happy people who are not very well versed even in the rule of three.
Some asserted that I committed a table of logarithms to memory; others attributed it to a peculiar mental property; and when Societies and individuals failed to extract my secret, they never failed to traduce the inventor and the invention.
Our musical notation is essentially a graphical representation of a piece of music in the form of curves, where the time is the abscissæ, and the logarithms of the number of vibrations the ordinates.
And, when I am all alone, to run over this almanac in my mind is almost as entertaining as to read your own diary, and far more interesting than to peruse a table of logarithms on a rainy afternoon.
What logarithms are to mathematics that mathematics are to the other sciences.
Gregory St. Vincent is the greatest of circle-squarers, and his investigations led him into many truths: he found the property of the arc of the hyperbola which led to Napier's logarithms being called hyperbolic.
When Barrow wrote, quadratures were familiar and differentiation unfamiliar, just as hyperbolas were trusted while logarithms were strange.
The symbol e for the base of the Napierian logarithms was introduced by Euler (1739).
He gave many other results relating to the computation of natural logarithms and other calculations in which series could be used.
Logarithms were introduced as numbers which increase in arithmetic progression when other related numbers increase in geometric progression.
It was not very long before the relation was used for the calculation of logarithms by Nicolaus Mercator in his Logarithmotechnia (1668).
In connexion with the early history of the calculus it must not be forgotten that the method by which logarithms were invented (1614) was effectively a method of infinitesimals.
Fermat described his method of integration as a logarithmic method, and thus it is clear that the relation between the quadrature of the hyperbola and logarithms was understood although it was not expressed analytically.
Natural logarithms were not invented as the indices of a certain base, and the notation e for the base was first introduced by Euler more than a century after the invention.
However, for each Number of this Series, two Logarithms for a single Life, three for two Lives, and four for three Lives, must necessarily be added together.
For instance, when I was fourteen I did not understand logarithms, but I learnt the way of proceeding with them by heart, and used logarithms as a short-cut.
The multiplication-table is still older, but is not out of date; it is still used, though logarithms have been discovered.
Shall there be an alternate study of the theory of logarithms and of the slide rule--on the idea of one hand washing the other--until a mastery of both the theory and the use of the instrument has been attained?
Except for the omission of the decimal point, these logarithms are natural logarithms--the first of their kind ever published.
The interpolations are effected with the aid of a small table containing the logarithms of 72 sines.
The logarithm of the number is then obtained by adding the previously calculated logarithms of the factors.
Although Oughtred had mastered the theory of logarithms soon after their publication in 1614 and was a great admirer of Napier, he preferred to use the dot for the designation of ratio.
This "Appendix" relates to logarithms and is an able document, containing several points of historical interest.
Thereby he established for himself the record of being the first to use logarithms in the solution of affected equations.
On a line AB lengths are set off to scale to represent the common logarithms of the numbers 1 2 3 .
It contains at the back of the slide scales for the logarithms of sines and tangents so arranged that they can be worked with the scale on the front.
BC give the logarithms of 10 times the same numbers in the interval AB; hence, if the 2 in the latter means 2 or .
The practical application of this process of reasoning was enormously facilitated by the invention of logarithms by Napier.
N are given) is evolution; the calculation of logarithms (i.
Napier's first table of logarithms was published in 1614.
I've got a little more in logarithms to clean up," murmured Darrin, looking wistfully at two pages in one of his text-books on mathematics.
In mathematics the new man had to recite in algebra, logarithms and geometry.
In the first term algebra, logarithms and geometry had to be finished, for in the second term trigonometry was the subject in mathematics.
People who studied the logarithms of the diapason would not be apt to think a man crazy for such a little thing as that.
But the unknown person in regard to whom Mr. Tolman felt the greatest curiosity was the subscriber who now had in his possession a volume entitled "Dormstock's Logarithms of the Diapason.
Then she said she would like to take out "Dormstock's Logarithms of the Diapason.
When the young lady arrived, an hour or so later, she was not at all satisfied to take out a new novel, and was very sorry indeed not to find the "Logarithms of the Diapason" waiting for her.
That self-same hour--the clock struck eight-- In Holloway began to muse The charming and the gifted KATE On logarithms most abstruse.
With me life's logarithms share, KATE, that I cannot solve alone!
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "logarithms" in a variety of sentences. We hope that you will now be able to make sentences using this word.
