Projection resulting from the conceptual projection of the Earth onto a tangent or secant cone, which is then cut lengthwise and laid flat. When the axis of the cone coincides with the polar axis of the Earth, all meridians are straight equidistant radii of concentric circular arcs representing the parallels, but the meridians are spaced at less than their true angles. Mathematically, the projection is often only partially geometric

a map projection of the globe onto a cone with its point over one of the earth's poles

A conic projection is a type of map in which a cone is wrapped around a sphere (the globe), and the details of the globe are projected onto the conic surface. Then, the cone is unwrapped into a flat surface.