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... it must coincide with the axis of the curve. Therefore the above equation properly represents the principal diameter of the curve; by uniting it with the original equation we may hence find the co-ordinates x'y' of its intersection with the curve,...

An Elementary Treatise on the Application of the Algebraic Analysis to Geometry - Página 19
de Wesley Stoker Barker Woolhouse - 1831 - 52 páginas
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A Rudimentary Treatise on Analytical Geometry and Conic Sections

James Hann - 1850 - 146 páginas

...inclination to the axis of the curve with the axis of x; this line (95) also passing through the vertex a/y, it must coincide with the axis of the curve. Therefore,...of its intersection with the curve, or the vertex. (98.) 3rd. If av/ B — Z. v/ A = 0, or a ./ B = JVA, the equation (c) gives simply y=o, which shews...

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