# Future Time-like Right Triangle

summary:

Starting from an observer at the origin, the observer in watches the departure of another who drifts away until an ending bling (my jargon for many points appearing all at the same time).
description:

There are right triangles in the tx and ty planes because there is motion along x and y, not z. The animation looks like the straightest of all possible lines, part of the fun of analytical animations. The green circle has a radius equal to the blue line. Because trigonometry is all about the relationship between circles and triangles, this may prove helpful. Notice how the origin is as far away as possible in space from the green lines. When the blue events touch the green, the blue events cease.
command:

./q_graph -box 1.3 -dir triangles -out timelike_future -command 'g_u1_n 1 -.7 -.2 0 2000 | q_x_scalar 1.23693' -color green -command 'constant_linear_motion 100 0 0 0 0 1 0 0 0' -color red -command 'constant_linear_motion 100 0 0 0 0 1 -.7 -.2 0' -color blue -command 'constant_linear_motion 100 1 0 0 0 1 -.7 -.2 0' -color yellow

equation:

Triangle:

(0, 0, 0, 0), (1, 0, 0, 0), and (1, -.7, -2, 0)

Circle:

Center: (0, 0, 0, 0)

Intersects: (1, -.7, -2, 0)