Example equations: x=31;|y=t // Vertical line x=t;|y=1-t // Oblique line x=sin(5*PI*t);|y=sin(6*PI*t); x=sin(2*PI*t);|y=sin(3*PI*t); x=3*t;|y=3*(1-cos(t)) // Sinusoid; x=3*(t-sin(t));|y=3*(1-cos(t)); // Cycloid (cusp at origin) x=3*(t-sin(t));|y=3*(1-cos(t)); // Cycloid (vertex at origin) a=3; b=2; x=a*t-b*sin(t);|y=a-b*cos(t); // Cycloid (curate, a > b) a=1.5; b=3; x=a*t-b*sin(t);|y=a-b*cos(t); // Cycloid (prolate, a < b) a=4; b=3; x=a*cos(t);|y=b*sin(t); // Ellipse a=4; b=3; x=a*pow(cos(t),3);|y=b*pow(sin(t),3); // Evolute of ellipse a=6; b=1; x=(a+b)*cos(t) - b*cos((a+b)/b*t);|y=(a+b)*sin(t) - b*sin((a+b)/b*t); // Epicycloid; a=3; x=3*a*t/(1+pow(t,3));|y=3*a*t*t/(1+pow(t,3)) // Folium of Descartes a=6; x=2*a*cos(t) + a*cos(2*t);|y=2*a*sin(t) - a*sin(2*t); // Deltoid (Hypocycloid of 3 cusps) a=8; x=a*pow(cos(t),3);|y=a*pow(sin(t),3); // Astroid (Hypocycloid of 4 cusps) a=5; x=a*cos(t) + a*t*sin(t);|y=a*sin(t) - a*t*cos(t); // Involute of a Circle a=4; x=0.5*a*(3*cos(t)-cos(3*t));|y=0.5*a*(3*sin(t)-sin(3*t)); // Nephroid (2-cusped epicycloid) a=3; b=5; a/tan(t);|y=b*sin(t)*cos(t); // Serpentine Curve a=7; x=a/tan(t);|y=a*pow(sin(t),2); // Witch of Agnesi x0=-20; y0=10; v0=15; angle=45; g=9.8; x=x0+v0*cos(PI*angle/180)*t;|y=y0+v0*sin(PI*angle/180)*t-0.5*g*t*t; // Trajectory