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G41

portant of the three classes are the metrical, which depend upon the ratio between two magnitudes. Thus, the distinctions between hyperbolas, the parabola, and ellipses is metrical, since it depends upon whether one distance connected with the conic section is greater than, equal to, or less than a certain other. Of middling importance are the graphical characters which, not being metrical, depend upon the maximum number of points, rays, (unlimited straight lines,) or planes in which the figure characterized, can be cut by, or can touch, a ray or plane. The metrical characters, in the last analysis, express merely properties

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