JB/135/054/001

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D'Alembert

26
— Ainsi les Axiomes bien loin de tenir en Philosophie
le premier rang, n'ent pas même besoin d'être
énoncés.

40
Mais le corable de leneur seroit d'imaginer que
l'essence des demonstrations consistant dans la forme
Geometrique, dans une liste de definitions, d'etsiomes,
de propositions et de carolaores. Cette forme est
si peu essentielle à la preuve des verition mathematique
que pluiseurs Géometres modernes l'ont abandonné
comme inutile.

165
He here gives as the 2 fundamental Propositions
on which all Geometry depends. 1 la mesure des angles
par les arcs de circle. 2. le principe de la Superposition.
Because he thought it necessary to say that an
angle [a fictitious entity] is a ...... something he says it is a space. He
had forgotten what he had said (Page 27 speaking
of existances and axioms.) "un des grands inconveniens des prétendus"
"principes généraux, est de réaliser les abstractions."
If an angle be any thing it is as much a line
as a space the equality or inequality is as well
measured by the length of a line as by the area
of a figure. In either case it cannot be
measured without the assistance of Superposition,
The His Second but the only fundamental proposition
except that of number, in speaking of Superposition

Identifier: | JB/135/054/001 "JB/" can not be assigned to a declared number type with value 135.
Date_1		Marginal Summary Numbering
Box	135	Main Headings
Folio number	054	Info in main headings field	d'alembert
Image	001	Titles
Category	copy/fair copy sheet	Number of Pages	4
Recto/Verso	recto	Page Numbering
Penner	sir samuel bentham	Watermarks	[[watermarks::[gr with crown] [pro patria motif]]]
Marginals		Paper Producer
Corrections		Paper Produced in Year
Notes public		ID Number	46172
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