Mathematical Papers of the Late George Green
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In our eReader you can find the full English version of the book. Read Mathematical Papers of the Late George Green 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 Mathematical Papers of the Late George Green
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The method alluded to in what precedes, and which is exposed in the two first articles of the following paper, will enable us to assign generally the value of the induced density p for any ellip- soid, whatever its axes may be, provided the inducing forces are given explicitly in functions of the co-ordinates of p ; but when by supposing these axes equal we reduce the ellipsoid to a sphere, it is natural to expect that as the form of the solid has become more simple, a corresponding degree of s...implicity will be introduced into the results ; and accordingly, as will be seen in the fourth and fifth articles, the complete solutions both of the direct and inverse problems, considered under their most general point of view, are such that the required quantities are there always expressed by simple and explicit functions of the known ones, independent of the resolution of any equations whatever.
The first five articles of the present paper being entirely analytical, serve to exhibit the relations which exist between the density p of our hypothetical fluid, and its dependent function F; but in the following ones our principal object has been to point out some particular applications of these general relations.
What to read after Mathematical Papers of the Late George Green?
You can find similar books in the "Read Also" column, or choose other free books by George Green to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
The method alluded to in what precedes, and which is exposed in the two first articles of the following paper, will enable us to assign generally the value of the induced density p for any ellip- soid, whatever its axes may be, provided the inducing forces are given explicitly in functions of the co-ordinates of p ; but when by supposing these axes equal we reduce the ellipsoid to a sphere, it is natural to expect that as the form of the solid has become more simple, a corresponding degree of s...implicity will be introduced into the results ; and accordingly, as will be seen in the fourth and fifth articles, the complete solutions both of the direct and inverse problems, considered under their most general point of view, are such that the required quantities are there always expressed by simple and explicit functions of the known ones, independent of the resolution of any equations whatever.
The first five articles of the present paper being entirely analytical, serve to exhibit the relations which exist between the density p of our hypothetical fluid, and its dependent function F; but in the following ones our principal object has been to point out some particular applications of these general relations.
What to read after Mathematical Papers of the Late George Green?
You can find similar books in the "Read Also" column, or choose other free books by George Green to read onlineMoreLess
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