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# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 24
# Folio 2r, page id 00068149:0003
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3v); this page is its right half.
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# Lines: 33 recognised, mean confidence 0.98
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magnitadinem continue contrahi et tandem evanescere in nihilum
vel ex nihilo continais incrementis nasci, et sphaeram vel aliam figura
ex puncto intunescere, vel epunctum contrahi aliaqu id genus, quad si
reapse fierent, forent niraculosa, solaque divina potentia obu
tinenda. et tamen fictiones hujusmodi noum in Mathesi ha
bent, et intordum per eas assequimur, qua alia ratione
non aeque menti paterent. (um onnis producendi objecti ra
tio, sive ficta, sibo vera; sive naturalitor, sivo divira po,
tentia possibilis, nihil nisi vorum in natura rei possibili Mn
daganta nobis eferre possit. Itaque verum est, quod mirum alicut
videri possit, ipsa miracula usum, eunque marimum habere in
mathesi; sic cum indagarem olim Legem compositionis mo
tuam, cujus in hoc suo scheciasnate mentionem facis
miraculum adhibui, fingendo mobile muttiplicare se et divide
ca plura, ut cuilibet directioni componenti satisfucrat
et deinde ventrum quaditatis commune omnium pro di
rectione totius indivulsi stare. et hoc artificio fictionum a
lia multa indagavi (etsi nondam edita) ad quae alia via non
tam facile patebat aditus. Nono alioqui noscit in his stu,
diis versatus fictione minus praeternaturali concipere licere
carvam quasi constantem ex meris circulis seu prorectis Y
et () (()) posse assuni arcas circulares quorum contra mutentur
uti fit cum finginus curvam deseribi filo evoluto ex aliquo
polygono aut eam describi ad instar Cycloidis, per cortum
punctam pronotum rotatione polygoni. et qualcunque fictio pos
sibilis assignabiliter differens a veritate; naturalis aut prae-
ternaturalis imno supernaturalis, impune adhibetur. Quan quam
meminerim me aliquando cum nescro quo exanicis in nostro
calculo versatis contraversian ea de re agitare, qui circulos
vel rectas in casu aliquo adhiber indifforenter posse dubitabat
Itaque orrorem quem a duo adversanio adnissum
notas, oportet aliunde quam ex tali hypothesi oriri nisi forte
diversas sypotheses niscuit inter se, velati si quis diversas