# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797435492:0244
# Permalink to this reading: https://leibnizlegible.com/page/797435492:0244?run=74
# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 36, page id 797435492:0244
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=244
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000244.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.90
# 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.

B C Y. 
lata, perque motum ictum in curra describenda conspirans, percurrit
rectam PM. Cum isitur (inE TP, PM ex constructione PareS
adeoque relocitares motuum, quibus simul perasuntur, aequales:
etiam motus descensirus in P, vel M aquabitur motui traniverio, cur-
vam describenti, hoc est motus ab S ad A velocitas in A cidem aquaTUE.
Ergo punctum S est id iplum, quod inveniri debuir, ee absolutum est
propolitum. IExemplo lic parabola, quae Facta Concipitur ex motu
uniformi horizontali, _ descensiro pariter accelerato; tum punctum
P ita Facile per Analysin inrestisacur. Sit recta l datae parabola
rectum latus. Fst isitur ex parabola naLUTA, R X AP, = P M 9
IPq (exhypotheli modinostri generalis.) Item, ex parabola
notaproprietate est YP g = 4 AP 9. FrgO est R X AP = + AP9.
Adeoque R = 4 AP; vel Z R == AP =S A. Nlimirum ica C ali-
lans determinarit. In hoc autem casu puncta T, S coincidune. Ouoc
Ci rurtus graria juxta triplicatam temporum rationem velocitare crelcen-
do descendant, adeoque mocus ipsorum calis cum uniformi tranlverto
compolitus parabolam cubicam deseribat, e Sic R istius currX para-
meter, erit eo in casu SA = V L4 nam ex hujusce currae proprie-
tate est R g AP = P M cub. FF ex hujus regulae generalis praescripro
eA PM = TP, adcoque P M cub. = T P eub. Denique quonia
in hujusmodi parabola tansentis intercepra semper rrisecatur à verrice
minirum uc sIr A P = ZT P) eAt TP cab. = 27 A P cub. Prit
joitIK RgAP = 27 AP cub. Adeojue R 9 = 27 AP9; vel
Ra
27
= AP9 = SA9. In reliquis simili ratione procedentes
allequemur proxolirum. Possent opinor de hinc nedum plerxeque
Calilai propositiones huic actines; ex hranc attingentes materiam urcun-
que deduci, sed e generaliores reddi, vel ad alia curras omnigenas
extendi. Verum parco pluribus, hoc specimine (quoad ista) con
tentus; huc non nisi pex transcurlum adducto. Ad alia PersO PEa
dictis cohaerentia.
ZVI. Si ad rectam lineam applicetur plana superficies, cujus
Tinsulae quaque partes applicaris ad istam rectam parallelis inter-
cepeae proportionales sint rectis ad rectam A Y simpliciter dirisam
applicatis (ad A Z nempe parallelis.) Hujusce superficiei ad paral-
lelorrammum eequealtura, Cuper eadem base consticutum, proportio
proporrionem indicabit ipsarum AP; TP, a puncto P verrici, tan
Bentigue interjectaru.
ece
IDEe