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" ... 0, but we have to consider how the point-pair can be represented in point-coordinates : an equation a? = 0, is no adequate representation of the point-pair, but merely represents (as a twofold or twice repeated line) the line joining the two points... "
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 227
by George Salmon, Arthur Cayley - 1873 - 379 pages
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...xy = Q, and reciprocally a point-pair can be represented in line-coordinates by an equation £17 = 0, but we have to consider how the point-pair can be represented in point-coordinates : an equation a;2 = 0 is no adequate representation of the point-pair, but merely represents (as a twofold or twice...
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...xy = 0; and reciprocally a point-pair can be represented in line-coordinates by an equation £17 = 0, but we have to consider how the point-pair can be represented in pointTcoordinates : an equation £C* = 0 is no adequate representation of the point-pair, but merely...
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The Collected Mathematical Papers of Arthur Cayley, Volume 11

Arthur Cayley - Mathematics - 1896 - 663 pages
...xy = 0 ; and reciprocally a point -pair can be represented in linecoordinates by an equation £77 = 0, but we have to consider how the point-pair can...noticed, that the conic, or two-fold line a? = 0, or say (ax + fty + <yzf = 0 is a conic which, analytically, and (in an improper sense) geometrically, satisfies...
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The Collected Mathematical Papers of Arthur Cayley, Volume 11

Arthur Cayley - Mathematics - 1896 - 676 pages
...ay = 0 ; and reciprocally a point-pair can be represented in linecoordinates by an equation (r»7 = 0, but we have to consider how the point-pair can...noticed, that the conic, or two-fold line a? = 0, or say (ox + fiy + ^zf = 0 is a conic which, analytically, and (in an improper sense) geometrically, satisfies...
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The Collected Mathematical Papers of Arthur Cayley, Volume 11

Arthur Cayley - Mathematics - 1896 - 676 pages
...ay — 0 ; and reciprocally a point-pair can be represented in linecoordinates by an equation f»? = 0, but we have to consider how the point-pair can...is to be noticed, that the conic, or two-fold line з? = 0, or say (аж + ßy + yz)1 = 0 is a conic which, analytically, and (in an improper sense) geometrically,...
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