521.20 Lines
521.201 Pure mathematics’ axiomatic concepts of straight lines are completely invalid. Lines are vector trajectories.
520.21 The word line was nondefinable: infinite. It is the axis of intertangency of unity as plural and minimum two. Awareness begins with two. This is where epistemology comes in. The “line” becomes the axis of spin. Even two balls can exhibit both axial and circumferential degrees of freedom. (See Sec. 517.01, Interference, and Sec. 240, Synergetics Corollaries, Subsec. 06, 13, 14, 15, 20, 21, 22, 24, 25, 26, 27, 29, 30, 31, 35, 36.)
520.22 A line is a directional experience. A line is specific like in, while out is any directional. Lines are always curvilinearly realized because of universal resonance, spinning, and orbiting.
520.23 A point is not a relationship. A line is the simplest relationship. Lines are relativity. A line is the first order of relativity: the basic sixness of minimum system and the cosmically constant sixness of relationship identifies lines as the relativity in the formula