The sweep S
w of a
solid
Solid is one of the four fundamental states of matter (the others being liquid, gas, and plasma). The molecules in a solid are closely packed together and contain the least amount of kinetic energy. A solid is characterized by structura ...
S is defined as the solid created when a motion M is applied to a given solid. The solid S should be considered to be a set of points in the
Euclid
Euclid (; grc-gre, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Elements'' treatise, which established the foundations of ...
ean space R3. Then the solid S
w which is generated by sweeping S over M will contain all the points over which the points of S have moved during the motion M.
Euclidean solid geometry
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