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D'Alembert
Vol 5. 208.In speaking of angles and giving the reason of
their being measured by arcs of Circles he says
Bemargnon en passant que la mesure des angles par
les arcs de circle decrits de leur sommet, est
Sondee sur l'uniformisté du circle, qui fait que
toutes ses parties sont semtlatles et toujours
dispossées de la meme maniere par rapport
rayons qui y aboutissant." This reason
I believe will be found to be but a vague one
all want to be Architypified. see Angles Com: Meas:
211 to 214 Here he Architypifies the Proposition Qu'en
Parallelogramme est le produit de sa bare
par sa hauteur. daning which operation the necessity
appears of dividing each into aliquots and
multiplying one number by the other. he finishes
this chapter with nothing appear the necessity of
being contented with the degree of accuracy with which
Incommensurables can be expressed by numbers.
42 he affirms the necessity of introducing Alegbra
[of dividing into aliquots] to demonstrate Geometrical
Propositions and conclude with saying that Mathematician
s'imaginant avair evite Algebra quant ils ont
mis dans arc demonstrations des grandes
au lieu des petites
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