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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 17
# Folio 5v, page id 00068088:0010
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Autographum
habeat ut n ad n, sedut
n ad vn. a uae responsio an
Sufficiat sapientiorum.
jadicio submittit
dosex
W. Thilispus (Henisck
etdest
Kep. Nustemb.
dxe
Notae
quantstarem,
 hoc loco esseenfinities
in finite parvam, seu incompura-
bilites minorem ipsa dy; alioqui
non posset dys esse medca stropos-
tionalis intes a et dx. Nimisum
saepe contigit, ut duae quantita–
tes ut x et y, inipso ortu suo vel
occasu, sint in comparabiles intes
se etsi comparabiles sint in pro-
gressu. In circulo certe nascens vel
evanescens chorda incomparobilites major est sagitta nasiente
vel evanescente, idque in ipsis definitit quantitatibus advertes
quanto minores assumes FD, FG, nam ratio ipsius FG, ad
 
ipsam se. disatis appropinques ad D. fiet major quavis duta.
Hinc patet methodonostru non posse semper xety simul tanquum
ut soneuc
nihila sumi indistincte et stinitila voluissearus adhibere, ponendum
fuisset unumnihilum nempe sevanescens altero nihilo nempeX
evanescente, infinities majus, et calculus poni debuisset X -0
et y =0, unde aequatio a x - XX =yy dedisset a0 -00-00
idest a. 0. = 0. o. Seu o media proportionalis fieret intes a
et 0. Sed absurdum est talia de nihilis dici, itaque pronihilis
ad Libendae sunt quantitates infinite parvae, et quaecunque de
iis dicentus, sempes methodo rigorosa, per infinite pareas
seu minores quibuscungue datis verificabuntur.
M) Smo duo nihila sempes sunt aequalia, et utiomnia omnibus
seu infinititsimum infinitissemro, ita nihilum nihila coincidis
6de
secus est (infinitis et infinite parvis, quae dovers e magnitu-
dinis concipruntur. Vere an fute nnihil ad Mathesin, quae
controvessies Metaphysicis opus non habet, sufficitue omnia
quae  nostra Methodo ponimus, methodo communi per minora
quovis assignato station verificari.