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Analytic geometry for colleges, universities, and technical schools (1892)

Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 30

An illustration from Analytic geometry for colleges, universities, and technical schools, 1892, leaf 30
lue of xless than 4 (positive or negative) will always give two realvalues for y ; that x = -^4 will give y =z ^0, and that anyvalue of X greater than J- 4 will give imaginary values for y.Hence the locus does not extend to the right of the Y-axisfarther than cc = -j- 4, nor to the left farther… … Values of y+ 3.8 and — 3.8+ 3.4 and - 3.4+ 2.6 and - 2.6iO + 3.8 and - 3.8+ 3.4 and — 3.4+ 2.6 and - 2.6±0 Constructing these points and tracing the curve, we find itto be a circle. This might readily have been inferred from the formof the equation, for we know that the sum of the squares ues of X…

Geometry, Analytic

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