JB/135/064/001

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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.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	064	Info in main headings field	mathematics
Image	001	Titles	style / algebra
Category	copy/fair copy sheet	Number of Pages	2
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	[[watermarks::gr [with crown]]]
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46182
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