Category
page 1Spherical curves
great circle
intersection of the sphere and a plane which passes through the center point of the sphere
rhumb line
arc crossing all meridians of longitude at the same angle
great-circle distance
shortest distance between two points along the surface of a sphere
Viviani's curve
figure-eight shaped three-dimensional curve, the intersection of a sphere with a cylinder
Clélies
thumb|upright=1.2|Clelia curve for c=1/4 with an orientation (arrows) (At the coordinate axes the curve runs upwards, see the corresponding floorplan below, too)
thumb|upright=1.4|Clelia curves: floor plans of examples, arcs on the lower half of the sphere are dotted. The last four curves (spherical spirals) start at the south pole and end at the northpole. The upper four curves are due to the choice of parameter c periodic (see: Rose (mathematics)|rose).
Tennis ball theorem
smooth curve that divides a sphere into 2 equal-area subsets has at least 4 inflections
slerp
method of quaternion rotation