The Collected Mathematical Papers of Arthur Cayley volume 3
The Collected Mathematical Papers of Arthur Cayley volume 3
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In our eReader you can find the full English version of the book. Read The Collected Mathematical Papers of Arthur Cayley volume 3 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 The Collected Mathematical Papers of Arthur Cayley volume 3
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He proceeds to say, that whenever the condition of vis viva holds good, he had found that it was possible in the integration of the equations of motion to follow a course such that each of the given integrals successively lowers by two unities the order of the system ; and that the like theorem holds good when the condition of vis viva is not satisfied, that is, when the force function involves the time (this seems to be a restatement, in a more general form, of the theorems referred to in the ...note of the 29th of November 1836 to the Academy of Berlin) ; and he mentions that he had been, by his researches on the theory of numbers, led away from composing an extended memoir on the subject. The note then passes on to other subjects, and it concludes with two theorems, which are given without demonstration as extracts from the intended work he had before spoken of. These theorems are in effect as follows : I. Let d 2 x _dU d 2 y _dll d 2 z _dU dt 2 dx dt 2 dy dt 2 dz be the 3n differential equations of the motion of a free system, and 2m (x 2 + y 2 + z 2 ) dt=U + h, the equation of vis viva.
What to read after The Collected Mathematical Papers of Arthur Cayley volume 3?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
He proceeds to say, that whenever the condition of vis viva holds good, he had found that it was possible in the integration of the equations of motion to follow a course such that each of the given integrals successively lowers by two unities the order of the system ; and that the like theorem holds good when the condition of vis viva is not satisfied, that is, when the force function involves the time (this seems to be a restatement, in a more general form, of the theorems referred to in the ...note of the 29th of November 1836 to the Academy of Berlin) ; and he mentions that he had been, by his researches on the theory of numbers, led away from composing an extended memoir on the subject. The note then passes on to other subjects, and it concludes with two theorems, which are given without demonstration as extracts from the intended work he had before spoken of. These theorems are in effect as follows : I. Let d 2 x _dU d 2 y _dll d 2 z _dU dt 2 dx dt 2 dy dt 2 dz be the 3n differential equations of the motion of a free system, and 2m (x 2 + y 2 + z 2 ) dt=U + h, the equation of vis viva.
What to read after The Collected Mathematical Papers of Arthur Cayley volume 3?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Cayley to read onlineMoreLess
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