The Collected Mathematical Papers of James Joseph Sylvester volume 1
The Collected Mathematical Papers of James Joseph Sylvester volume 1
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In our eReader you can find the full English version of the book. Read The Collected Mathematical Papers of James Joseph Sylvester volume 1 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 James Joseph Sylvester volume 1
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In fact, as at a double point the first polars all merely intersect, but at a cusp have all a contact with one another of the first degree, so we ought to expect that there should exist a species of multiple point such that all the first polars should have with each other a contact of the second degree (or if we like so to say, the same curvature) at that point. When the curve has a triple point, all its first polars will have that point upon them as a double point ; and it is not at the first ...glance, easy a priori to say what is the nature of the contact between two curves which intersect at a point which is a double point to each of them : we know upon settled analytical principles, that when one curve having a double point is crossed there by another curve not having a double point, that the two must be said to have with one another, a contact of the 1st degree ; and we now learn from our theory of evection, that if each have a double point at the meeting-point, the degree of the contact must from principles of analogy be considered to be of the 3rd degree*.
What to read after The Collected Mathematical Papers of James Joseph Sylvester volume 1?
You can find similar books in the "Read Also" column, or choose other free books by James Joseph Sylvester to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In fact, as at a double point the first polars all merely intersect, but at a cusp have all a contact with one another of the first degree, so we ought to expect that there should exist a species of multiple point such that all the first polars should have with each other a contact of the second degree (or if we like so to say, the same curvature) at that point. When the curve has a triple point, all its first polars will have that point upon them as a double point ; and it is not at the first ...glance, easy a priori to say what is the nature of the contact between two curves which intersect at a point which is a double point to each of them : we know upon settled analytical principles, that when one curve having a double point is crossed there by another curve not having a double point, that the two must be said to have with one another, a contact of the 1st degree ; and we now learn from our theory of evection, that if each have a double point at the meeting-point, the degree of the contact must from principles of analogy be considered to be of the 3rd degree*.
What to read after The Collected Mathematical Papers of James Joseph Sylvester volume 1?
You can find similar books in the "Read Also" column, or choose other free books by James Joseph Sylvester to read onlineMoreLess
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