A Treatise On Analytical Statics With Numerous Examples volume 2
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In our eReader you can find the full English version of the book. Read A Treatise On Analytical Statics With Numerous Examples volume 2 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 Treatise On Analytical Statics With Numerous Examples volume 2
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To quickly assess the difficulty of the text, read a short excerpt:
If we wish to remove the latter from the field under consideration we must subtract its potential. Now by equation (3) of Art. 168 its potential at any point P' is V = V -=-=% _ p = -T. We may therefore disregard this infinitely OP (JP . (JP K distant matter if we subtract from the potential of the inverse body as given by the theory, the constant m/k.
If the mass at O merely forms part of a stratum passing through 0, the mass actually at is zero and the constant to be subtracted is also zero.
...181. Inversion from a line. Instead of inverting the attracting system with regard to a point we may invert it with regard to some straight line Oz. Let a point Q move in any manner, and let QN be a perpendicular on the axis Oz. If on NQ we take a point Q' so that NQ. NQf = k*, where A; is a given constant, then Q' is the inverse of Q with regard to the axis of z.
With this definition it is clear that any cylindrical surface with its generators parallel to Oz inverts into another cylindrical surface also having its generators parallel to that axis.
What to read after A Treatise On Analytical Statics With Numerous Examples volume 2?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If we wish to remove the latter from the field under consideration we must subtract its potential. Now by equation (3) of Art. 168 its potential at any point P' is V = V -=-=% _ p = -T. We may therefore disregard this infinitely OP (JP . (JP K distant matter if we subtract from the potential of the inverse body as given by the theory, the constant m/k.
If the mass at O merely forms part of a stratum passing through 0, the mass actually at is zero and the constant to be subtracted is also zero.
...181. Inversion from a line. Instead of inverting the attracting system with regard to a point we may invert it with regard to some straight line Oz. Let a point Q move in any manner, and let QN be a perpendicular on the axis Oz. If on NQ we take a point Q' so that NQ. NQf = k*, where A; is a given constant, then Q' is the inverse of Q with regard to the axis of z.
With this definition it is clear that any cylindrical surface with its generators parallel to Oz inverts into another cylindrical surface also having its generators parallel to that axis.
What to read after A Treatise On Analytical Statics With Numerous Examples volume 2?
You can find similar books in the "Read Also" column, or choose other free books by Edward John Routh to read onlineMoreLess
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