Axiom
:
Area Axioms
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Axioms of Area
When discussing
areas
of
surfaces
, we usually take the following statements to be
axiomatic
:
$(1) \quad$ The
area
of a
square
with a
side
of
length
one
unit
is defined to be one square unit.
$(2) \quad$ Let a
surface
be divided into a
finite number
of smaller non-overlapping
surfaces
.
Let the smaller
surfaces
cover the entire larger
surface
.
Then the
sum
of the
areas
of the smaller
surfaces
equals the
area
of the larger
surface
.
$(3) \quad$ Equal
surfaces
have equal
areas
.
Category
:
Axioms/Geometry
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