An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 109
to any extent, if we allow the abscissa toincrease without limit. The curve is unlimited in extent, likethe lines represented by equations of the first degree, and unlikethe circle, which is a closed curve or a line returning into itself.Two parabolas may be compared by means of their parameters,… … THE PARABOLA. 105 for radii. Hence parabolas are considered as differing in sizeand not in shape. The figures only represent small portions ofparabolas taken near their vertices, and the apparent shape of thecurve depends upon the extent of the portion drawn. Thus in thelast two figures different…
Geometry, Analytic
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