Lectures On the Theory of Plane Curves Delivered to Post Graduate Students in
Lectures On the Theory of Plane Curves Delivered to Post Graduate Students in
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E. According as the conic is an hyper- bola, a parabola, or an ellipse. The curve again cuts the axis of x at the point . \—n, which is called the vertex. The only real asymptote to the curve is, *=//, and the curve has a real point of inflexion at infinity.
236. "^ The Logocyclic ciirrc /-v I lie ii/rer. '.^-f-) (1) 219 The nodal tangents are a;- — y'-^ =0, which are two right lines at right angles to each other. The only real asymptote is . V + a = Of which, therefore, makes an angle of ...45"^ with each nodal tangent. (Fig. 27. ) The polar equation of the curve is vcos^ = rteos2^.
Let be the origin and J the vertex, and let the axis of, r, cut the asymptote at B. Transfering the origin to the vertex //, the polar ecpiatiou of the curve becomes r'^-\-)larsecO-\-a-^=zO (2) or r= —a(st'c6 + ia/i0) ... ... (3) or, changing the constant 237. We may use these properties of the logoeyclic cubic in showing that every nodal cubic can be [)rojeeted into a logoeyclic curve.
What to read after Lectures On the Theory of Plane Curves Delivered to Post Graduate Students in?
You can find similar books in the "Read Also" column, or choose other free books by Surendramohan Ganguli to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
E. According as the conic is an hyper- bola, a parabola, or an ellipse. The curve again cuts the axis of x at the point . \—n, which is called the vertex. The only real asymptote to the curve is, *=//, and the curve has a real point of inflexion at infinity.
236. "^ The Logocyclic ciirrc /-v I lie ii/rer. '
Let be the origin and J the vertex, and let the axis of, r, cut the asymptote at B. Transfering the origin to the vertex //, the polar ecpiatiou of the curve becomes r'^-\-)larsecO-\-a-^=zO (2) or r= —a(st'c6 + ia/i0) ... ... (3) or, changing the constant 237. We may use these properties of the logoeyclic cubic in showing that every nodal cubic can be [)rojeeted into a logoeyclic curve.
What to read after Lectures On the Theory of Plane Curves Delivered to Post Graduate Students in?
You can find similar books in the "Read Also" column, or choose other free books by Surendramohan Ganguli to read onlineMoreLess
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