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# Title: B. D. S. Opera Posthuma (shelfmarks Leibn. Marg. 30; ZEN Leibn. Marg. 30)
# Folio 364, page id 782426638:0410
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hag. 10
3.64
D E IN Y E L E F CFV S
reco ab experientia limplicium faciunt axioma unirertale, scilicet
ubiquartus numerus per se patet, ut in his 2, 4, 3, 6. ubi expe-
riuntur, quod ducto secundo in tertium, ex producto deinde per
primum dirilo frat quotiens 6; e cum rident cundem numerum
Produci, quem linehac operationenorerant esse proportionalem,
inde concludunt opcrationem ee bonam ad quarrum numerum
proportionalem semper inveniendum. Sed Mathematici vi demon-
Srationis Prop. 19. lib. 7. Fuclidis sciunt, quales numcei inter se
Sint proportionales, Scilicet ex natur a proportionis, ejusque proprie.
eate, quod nempenumerus, qui tir ex primo, e quarto aequalis
TIt numero, qui sit ex secundo, a tertio; atcamen adaequatam
proportionalitarem datorum numerorumnon vident, et li videant,
non rident cam viillius Propolitionis; sed intuitire, nullam ope-
rationem Facientes. Ut autem ex his optimus eligatur modus perci-
piendi, requiritur, ui breviter enumeremus, quae lintnecellaria
media, ut nostrum finem assequamur, hraec scilicet.
I. Noltram naturam, quam cupimusperticere, exacte nose,
ex simul tantum dererum natura, quantum Citneccsle.
II. UE indererum differentias, conrenientias, ec oppurnantias
recte colligamus.
TII. VFrecte concipiatur, quid possintpati, quidnon.
IV. VF hoc conteratur cumnaturâ, ex potentia hominis. FF
ex ictis Facile apparebit summa, ad quam homo potelt DerreIMTC,
perfectio.
Hlis sic consideratis videamus, quis modus percipiendi nobissie
eligendus.
Duod ad primum attinet. Per se patet, quod ex auditu, peaeter-
quam quod sit res admodum incerta, nullam percipiamus eslen-
tiam rei, licuti ex noctro exemplo apparet; et cum lingularis exi-
Centia alicujus rei non nolcatur, nisi coonita essentia, uti postea
videbitur: hinc clare concludimus omnem certicudinem, quam ex
audicuhabemus, a scientiis esse secludendam. Nam a Simplici au
diru, ubinon prxecessit proprius intellectus, nunquam quispote.
rit affici.
 Ouoad