Napier Tercentenary Memorial volume
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In our eReader you can find the full English version of the book. Read Napier Tercentenary Memorial volume Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Napier Tercentenary Memorial volume
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They will correspond to two points very near to each other on the line which represents THE INVENTION OF LOGARITHMS H the natural numbers. The time occupied by the moving point in passing over the small interval betAveen them will be greater than if it moved throughout at the velocity which it possesses at the commencement of its passage, and less than if it moved throughout at the velocity which it possesses at the end. This follows at once from the fact that the velocity continuously decrease...s. But the time so taken by the moving point is the difference between the logarithms of the two nvmibers. By this proposition the difference of the logarithms is fixed within limits which are readily calculated and are so close the one to the other as to enable the actual difference to be fixed with an accuracy more than sufficient for practical purposes if the interval be small. ^ These two propositions represent all that Napier has saved from the total wreck of his arithmetical methods and conceptions due to the change from the discontinuity which represented individual operations to the continuous change which he could conceive in its geometrical representation, but which had no arithmetical equivalent.
What to read after Napier Tercentenary Memorial volume?
You can find similar books in the "Read Also" column, or choose other free books by Cargill Gilston Knott to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
They will correspond to two points very near to each other on the line which represents THE INVENTION OF LOGARITHMS H the natural numbers. The time occupied by the moving point in passing over the small interval betAveen them will be greater than if it moved throughout at the velocity which it possesses at the commencement of its passage, and less than if it moved throughout at the velocity which it possesses at the end. This follows at once from the fact that the velocity continuously decrease...s. But the time so taken by the moving point is the difference between the logarithms of the two nvmibers. By this proposition the difference of the logarithms is fixed within limits which are readily calculated and are so close the one to the other as to enable the actual difference to be fixed with an accuracy more than sufficient for practical purposes if the interval be small. ^ These two propositions represent all that Napier has saved from the total wreck of his arithmetical methods and conceptions due to the change from the discontinuity which represented individual operations to the continuous change which he could conceive in its geometrical representation, but which had no arithmetical equivalent.
What to read after Napier Tercentenary Memorial volume?
You can find similar books in the "Read Also" column, or choose other free books by Cargill Gilston Knott to read onlineMoreLess
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