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Prefat. (18
Examination of Euclid's V Definition.
Euclid's Def.
obliged depends
ultimately on the
New one
little need is there of augmented degree of it.
you are obliged by this definition to ascertain
if two Quantities be equal to one other at least
without any how to do it.
Shew what is to ascertain if 2 quantities be
equal or no. but to ascertain if the
Proportion one bears to the other be that
of equality or Inequality.
It is necessary then you should have the
knowledge to you are to derive from the definition how
previous to your understanding the definition.
When is it you to pronounce
one quantity equal to another.
Must you not be contuted with assuming some
one common measure which was the quantity of
Which Is it not by ascertaining if each contains the same
number of an assumed common measure the quantity
of which is agreed to be Inconsiderable?
Summing up
of the Comparison
of the 2 Definitions
Euclid's definition depends on the truth of a
demonstration and proposition.
The new one on one Axiom.
Identifier:  JB/135/041/002 "JB/" can not be assigned to a declared number type with value 135.



not numbered 

135 

041 
prefat. 

002 

copy/fair copy sheet 
2 

recto 
f17 / f18 / f19 / f20 

sir samuel bentham 
[[watermarks::[gr with crown] [pro patria motif]]] 

46159 
