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G132

It addresses the idea of a family of lines, each 1st, continuous and not made up of points as analytical quantity is composed of single values, 2nd, containing no point that a particle or indivisible thing at any one instant fully occupy one point and no more but capable in a lapse of time of occupying all the points of a line but not of a surface could have while remaining a particle on the line) in fewer or more ways than two, 3rd, such that a particle could move from any one point in it to any other, without at any instant occupying fewer or more points in the line than one; 4th, such that a filament, (or object that at any one instant occupies a line, and in a lapse of time can occupy a continuous surface, but never a space,) occupying the whole of it would not have room to shrink continuously without rupture within it, so as not to occupy the whole of it. This description seems to

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