Mathematics for engineering students, Analytical geometry and calculus by Keller S. S. (Samuel Smith) 1867-1923 & Knox W. F

Author:Keller, S. S. (Samuel Smith), 1867-1923 & Knox, W. F., [from old catalog] joint author
Language: eng
Format: epub
Tags: Geometry, Analytic, Calculus
Publisher: New York : D. Van Nostrand company
Published: 1907-03-25T05:00:00+00:00

Elementary Calculus.

173

5 miles in 1 hour, 1 mile in one-fifth of an hour, and so on, as indicated in the following table:

I000000000000 5000000000000

.0000000000002

Now it is most important to note, that no matter how small the space traversed may be, even if beyond all possibility of measurement and conception, the ratio of any such exceedingly small space to the minute time interval taken in traversing it, invariably gives as a quotient 5, in the example cited. The last space taken, which is .000000000001 miles is equivalent to about one-six hundred millionth of an inch, while the corresponding time interval is .0000000000002 hours, which is approximately three

billionths of a second; the ratio - is nevertheless equal to 5, giving a velocity of five miles an hour.

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