# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068149:0004
# Permalink to this reading: https://leibnizlegible.com/page/00068149:0004?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 24
# Folio 2v, page id 00068149:0004
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068149&page=4
# Source image: https://digitale-sammlungen.gwlb.de/content/00068149/jpgs/default/00000004.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

quantitates differentiales simul pro constantibis assenat. am ex
eodem principio substitationis aequivalentis, fit ut in nostro arbi–
trio sit quancunque quantitatem elenentarem assenere pro con
stanti; modo ne diversas hypotheses misceanus. Sed ad rem ex
plicandam propias acredo:
it recta AF (5) exponens tempus, ita
ut AF sit tempus impensum, fit J Vive-
locitas aurante tempore AF continua
acceleratione quaesita, V) ihcrementum
velocitatis clemeatare. Sit TS spatium tempore AF percursum
acementari
S(5) spatium elenentare percarsum tempore S. (5). Concipiamus
hoc spatium S(5) percarri tempore elenentari fF) celeritate
uniformi FV, et in ultimo momento tempons ) accedere nobili
velocitatem elementarem 3(V). ita ut deinde sequenti tempore
elenentari F((5)) tota velocitate nova (5) (Y) aequabiliter per
carrat (d (5)) novam elementum spatii, eoque absoluto in ultino monento
CF) accipiat novan velocitatem elenentarem ((3)) ((Y)) atque ita porro
His positis manifestum est spatium S (5) esse ad spatium S ((5))
)C). CF) ad tempas (F) ((F)) et ve
YH, seu esse rectam S(5) ad
rectam (S)(S)) ut rectangulum Y(5) ad rectangulum (V)(3)
unde sequitur si in momento A sit motus initium, fore trilinea
ATr.+ ut ordinatas Js, seu lineam As (S) esse sinpliciter
quadratricem fiqura. AdV Quacunque denum sit lex accele
rationis. Ad vocetur t, JV vocetur v, et SS vocetur _ asque
simaturque aliqua constans c, fiet cdo - vat (vel tuo stylo
3. 5, at = dx: V) seu cN = suat. salis autem veritas qua in com
pato notuum est fardanentalis aegre demonstrabitur nisi, ficti
orem notus interrapti pro continio adhibeas ostendasque salten
Archimedeo more) unum easum ab alio assignabiliter non
differre.
Venio ad suam thesra, qua ponis fat= de et investigabinus
eu hypotleor