Webster's Revised Unabridged Dictionary · 1913

Map

Map (map) , noun

[From French mappe, in mappemonde map of the world, from Latin mappa napkin, signal cloth; -- a Punic word. Compare Apron, Napkin, Nappe.]

1.
A representation of the surface of the earth, or of some portion of it, showing the relative position of the parts represented; -- usually on a flat surface. Also, such a representation of the celestial sphere, or of some part of it.

There are five principal kinds of projection used in making maps: the orthographic, the stereographic, the globuar, the conical, and the cylindrical, or Mercator's projection. See Projection.

2.
A graphical representation of anything showing the relative arrangement of its parts in a maplike form.
3.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
Thus is his cheek the map of days outworn. — Shakespeare
4.
(Mathematics) A relation between two sets in which an element of one set is associated with each element of the other set. Also called a mapping, transformation, or correspondence.
Collocations (1)
Map lichen (Botany) , a lichen (Lecidea geographica.) growing on stones in curious maplike figures. — Dr. Prior

Map , transitive verb

To represent by a map; -- often with out; as, to survey and map, or map out, a county. Hence, figuratively: To represent or indicate systematically and clearly; to sketch; to plan; as, to map, or map out, a journey; to map out business.
I am near to the place where they should meet, if Pisanio have mapped it truly. — Shakespeare
2.
(Mathematics) To create a mapping between two sets; see map{4}, n.. Also, to create any list of corresponding elements of two sets of things; as, to map the symbols of an ancient language into a modern phonetic alphabet.