A Treatise On Differential Equations
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In our eReader you can find the full English version of the book. Read A Treatise On Differential Equations 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 Differential Equations
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A 64 A TREATISE ON DYNAMICS. [cilAP.
(5).
Equations (4) and (5) though very complicated in appearance will not be so in practice, since in the cases which occur the forms of P and T will be such as to introduce considerable simplifications.
When the whole force which acts on the body is central, we have T =0, and these equations become much simpler. We have in this case d'u P . Dt 1 These equations, however, and the class of problems depending on them deserve an independent consideration.
III. ...] A TREATISE ON DYNAMICS. 65 CHAPTER III.
54. When the direction of the force that acts on a particle always passes through a fixed point the force is said to be central, and that point is called the center of force. In the cases that will present themselves the intensity of the force will generally be a function of the distance of the particle from the center and of nothing else. Many of the properties of motion round centers of force are true, whether this is or is not the case. The student will, however, see from the proof whether this is requisite or not.
What to read after A Treatise On Differential Equations?
You can find similar books in the "Read Also" column, or choose other free books by Forsyth, Andrew Russell, 1858-1942 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
A 64 A TREATISE ON DYNAMICS. [cilAP.
(5).
Equations (4) and (5) though very complicated in appearance will not be so in practice, since in the cases which occur the forms of P and T will be such as to introduce considerable simplifications.
When the whole force which acts on the body is central, we have T =0, and these equations become much simpler. We have in this case d'u P . Dt 1 These equations, however, and the class of problems depending on them deserve an independent consideration.
III. ...] A TREATISE ON DYNAMICS. 65 CHAPTER III.
54. When the direction of the force that acts on a particle always passes through a fixed point the force is said to be central, and that point is called the center of force. In the cases that will present themselves the intensity of the force will generally be a function of the distance of the particle from the center and of nothing else. Many of the properties of motion round centers of force are true, whether this is or is not the case. The student will, however, see from the proof whether this is requisite or not.
What to read after A Treatise On Differential Equations?
You can find similar books in the "Read Also" column, or choose other free books by Forsyth, Andrew Russell, 1858-1942 to read onlineMoreLess
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