Based on the "string art" craft/project of connecting nails along intersecting axes with string.[br]Either drag point [color=#ff00ff]A[/color] along its axis or drag the corresponding slider [color=#ff00ff]a[/color].[br]Alternatively, with a keyboard, you may select the point or slider and then use ← → or ↓↑ keys to adjust.[br][list][*][color=#ff00ff]a[/color] = the distance of [color=#ff00ff]A[/color] from the origin[br][/*][*][color=#cccccc]b[/color] = the distance of [color=#cccccc]B[/color] from the origin[/*][*]a + b = the constant sum of the distances between the points and the origin[/*][*]θ = angle between axes that points [color=#ff00ff]A[/color] & [color=#cccccc]B[/color] travel along[br][/*][/list]_____________________________[br][br]As a Calculus connection: The "show curves" toggle will display/hide the implicit curve to which the "string" segments/lines are tangent. [url=https://www.dropbox.com/scl/fi/8dni43598owksjz3nuojy/StringArtMathematics.pdf?rlkey=robk4ys5kss5fagkhsq50q7ye&dl=0]In this pdf, I first develop a parametric model[/url] for this curve before then proving the connection to the implicit curve.[br]