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A first course in analytical geometry (1905)

Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 150

An illustration from A first course in analytical geometry, 1905, leaf 150
+ (y-zy ±5fSx + 4:y - 2Y is the required equation. Ex. 2. Find the equation of the ellipse focus (1,1) and directrix2x — y — 1 = 0, eccentricity = |. 132 Here THE PARABOLA 3/2x — y 133 V{x- 1)2 + (y - 1) /2x-y- 1\ is the required equation. Ex. 3. Find tlie equation of the hyperbola focus (2, 0),… … F(a.o) Fig. 106. ¥, the X-axis. Bisect EF in 0, which is called the vertex, andwhich by definition is a point on the curve. Let O be theorigin. Let OF = a [known distance]. Now PF = PM = EE [by def.] PF = PE; + FE, or ER= PS+ FE^..-. (x-\-ay=if + (x-ay, whence y^ = ^ax . (1) is the required…

Geometry, Analytic

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