The Collected Mathematical Papers of Arthur Cayley volume 11
The Collected Mathematical Papers of Arthur Cayley volume 11
Arthur Cayley
The book The Collected Mathematical Papers of Arthur Cayley volume 11 was written by author Arthur Cayley Here you can read free online of The Collected Mathematical Papers of Arthur Cayley volume 11 book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is The Collected Mathematical Papers of Arthur Cayley volume 11 a good or bad book?
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Starting with an arbitrary line (x, y, z) in the first cone, then the reciprocal plane thereof (in regard to the absolute cone) is the plane Xx + Yy+Zz = 0, which meets the second cone in two lines, say (2) and (2 ), each of which is a line reciprocal to the line (1); and we have thus two planes (12) and (12 ), each of which envelopes, as is to be shown, the same cone q"r"X 2 + r"p"Y* +p"q"Z 2 = 0. Suppose, in general, that we have an arbitrary line (x, y, z) and an arbitrary plane aX + /3Y+...=Q, and that it is required to find the equation of the two planes through the line (x, y, z), and the intersections of the plane aX+/3Y+In the present case, the plane aX + @Y+yZ = is the plane xX+yY + zZ=0, which is the reciprocal of the line (x, y, z) in regard to the absolute cone, and the equation of the pair of planes is +q y 2 x n - + y* + z-) (p Xx + q Yy + r Zz) = 0, 783] ON MR WILKINSON S RECTANGULAR TRANSFORMATION.
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