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the irregular expansion rate of a 1:2 rectangle
POSTULATE 1.2: re. the Odd expansion rate of 6+8
AXIOM 1.9: the “expansion-rate” of any regular,
Unit-square #-base system is Area^2 + 8.
LEMMA 1.10: this applies to all systems that use
the Unit square as the base-unit, ir / regular both.
THEOREM 1.11: any Area #-base “n” + 8 = Area^2
- (minus) Area. Apply to calculate differences.
AXIOM 1.12: the “expansion-rate” of regular, square
base systems is Even.
LEMMA 1.13: any Odd # raised by an Even # square
will = a regular square expansion-rate, & vice versa.
THEOREM 1.14: any Even #-base square system will
be = to the base-Unit + 8 per each squared Area.
AXIOM 1.15: the “expansion-rate” of irregular, rect-
angular base systems is Odd.
LEMMA 1.16: any Even # raised by an Odd # square
will = an irregular, rectangular expansion-rate, etc.
THEOREM 1.17: any Odd #-base square-system
will be = to the base-Unit + 8 per each squared Area.