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Mathematics
The only use what is called pure Mathematics is of in
by applying it to mixt.
Draw out all the Propositions in Euclid without regard
to the demonstrations  taking care only to express them fully
clearly, and generally i:e: without reference to any particular
diagram.
Do the like by Conic Sections
If these were imprinted in the memory were without regard to
the demonstrations, such a knowlege of them as this would
answer the purposes of calculation in mixed mathematics
and in process of time when they became familiar, and associated
to one another in various orders it would then be an
easy matter to go back and from the consideration of some
of them, to form oneself a demonstration of another.
If some artificial helpmethod could be applied to imprint them in
the memory, such as that given in Gray's Memoria technica
it might be of use
If you know the two Euclid B.1. Prop. 5 boundaries of a triangle to be equal
to one another you know two angles of it to be also equal to one
another: viz those which are respectively made with the third boundary
by the two diverging ends of the two first.
Thus whether the substance of this could not be put into some
kind of doggerel verse — and so of the rest.
If we could come at every body and part of a body we wanted
to measure — if we could come at it I say and measure it
as we can a book or a walking stick — pure mathematics
would be of no use
Identifier:  JB/135/064/001 "JB/" can not be assigned to a declared number type with value 135.



135 

064 
mathematics 

001 
style / algebra 

copy/fair copy sheet 
2 

recto 

sir samuel bentham 
[[watermarks::gr [with crown]]] 

46182 
