A History of the Mathematical Theories of Attraction And the Figure of the Earth From the Time of Newton to That of Laplace
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In our eReader you can find the full English version of the book. Read A History of the Mathematical Theories of Attraction And the Figure of the Earth From the Time of Newton to That of Laplace 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 A History of the Mathematical Theories of Attraction And the Figure of the Earth From the Time of Newton to That of Laplace
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The second part of the memoir contains the application of the first part, to find the figure of a nearly spherical fluid mass which rotates about an axis.
This part is unsatisfactory, because the only condition of equi- librium which Clairaut regards is, that the resultant action at every point of the free surface shall be normal to the surface at the point. This is not sufficient for the equilibrium of a hetero- geneous fluid mass. Clairaut discovered his error, and acknow- ledged it; see page... 155 of his Figure de la Terre : here he allows that his investigations in the memoir are untenable, except on the supposition that the interior parts of the Earth had been originally solid. In the Sections 37 and 39, on pages 225, 226, 228, and 229 of the work, we have an equivalent for pages 288. ..294 of the memoir, but expressed more accurately.
171. On page 294 of the memoir, we have the first appear- ance of the theorem which is now known as Clairaut's Theorem : see Section 49, on pages 249, 250 of the Figure de la Terre.
What to read after A History of the Mathematical Theories of Attraction And the Figure of the Earth From the Time of Newton to That of Laplace?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The second part of the memoir contains the application of the first part, to find the figure of a nearly spherical fluid mass which rotates about an axis.
This part is unsatisfactory, because the only condition of equi- librium which Clairaut regards is, that the resultant action at every point of the free surface shall be normal to the surface at the point. This is not sufficient for the equilibrium of a hetero- geneous fluid mass. Clairaut discovered his error, and acknow- ledged it; see page... 155 of his Figure de la Terre : here he allows that his investigations in the memoir are untenable, except on the supposition that the interior parts of the Earth had been originally solid. In the Sections 37 and 39, on pages 225, 226, 228, and 229 of the work, we have an equivalent for pages 288. ..294 of the memoir, but expressed more accurately.
171. On page 294 of the memoir, we have the first appear- ance of the theorem which is now known as Clairaut's Theorem : see Section 49, on pages 249, 250 of the Figure de la Terre.
What to read after A History of the Mathematical Theories of Attraction And the Figure of the Earth From the Time of Newton to That of Laplace?
You can find similar books in the "Read Also" column, or choose other free books by Todhunter, I. (Isaac), 1820-1884 to read onlineMoreLess
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