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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 3
# Folio 7v, page id 00067962:0014
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Ast subtilissuma omnium comparatio est eorum quae
homogenea sunt, seu ejusdem gradus infinita, ut revocentur
ad polygona aut polyedra, quae partes habent congruentes
dum ostenditur ipsa curva ab his differre minus quovis dato
Ne ita superfia superficies quae infinitis coustant lineis, en
infinities infinities punctis, tanquam retra concipi possunt,
ita ut punctis interaepiantur partes planae; sed quae punctom
numtioas invinfinitum aucto evanescunt in curvam superficiem
cujus etsi nulta pars superficiei polyedricae comparari possit
ab ea tamen diste distat minus dat atque adeo estimari potest
idem est in Cpumectorume numero infinities infinito rursus infini-
ires replicato, id est in solido, ubi velut cellae a seu alvearia
punctis intercepta concipi possunt, et quidem semper 
pa rectis planis s.perficiebus comprehensa
itaque selida
send. Notandum h est solida, semper partes congruas
habere; atque ita iis comparandis non esse opus aequivalentia ex
evanescentia in uuius in alterum ipenilere cotinuitatis
Recta Lineas motu aut extersione  facile transformatione
per extensionem facile conferri. ied in superficies ne
conferendis etiam tian et motis et eransformatio et motus
comparativi, et transformationis ordinatae certam rationem
non semper apparere
Archimedes opus habet axiomate quod curva ad
easdem partes cava est minor recta ealem ex iistem
seuchorda
punctis extremis intercepta.Et quod et superficies ad eas dem
partes cava est minor plano contermino seu subtenso quomodo
id demonstrabitur, nisi reducendo curvam ad rectas  lineam
polygonam, aut concipiendo in eam terminari. Poincipium Ergo
Lex continuitatis verum principium est ultimumque nec sine
ea in Geometria magis quam mathesi  procedunt rigo
pigidae demonstrationes.