# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0266
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0266?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 232, page id 1041163592:0266
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=266
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000266.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.92
# 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.

232
PHTLOSODMTE NATDRALIS
De Moro Mledio resistente ascendendo possit amittere, ad tempus quo velo-
Conxoron cicacem candem in spacio non resistente ascendendo pollet amit-
FCTC, Ut arCUS AF ad ejus tangentem Ap.
Corol. 6. Flinc ex dato tempore datur spatium ascensu vel de-
scensu deleriprum. Nam corporis in infinitum descendentis datur
relocitas maxima, per Corol. 2, d 3, Thcor. VI, Lib. 11; indeque
datur cempus quo corpus relocitatem illam in spatio non relictente
cadendo poret acquirere. PF sumendo Sectorem AD F vel ADF
ad triangulum DC in ratione temporis dati ad tempus modo
inventum; dabitur cum velocieas AP vel Ap, cum arca ABNR
vel ABnk, quxe est ad scctorem AD F vel AD, uc spacium quae-
sicum ad spacium quod tempore dato, cum relocitate illa maxima
jam ante inventa, unilormiter describi potect.
Corol. 7. EF regrediendo, ex dato ascensus vel descensus spatio
ABBk vel AB NX, dabitur cempus ADF vel ADE.
PROPOSITITOZ. PROBLEMA MII.
Tendat uniformis vis gravitatis directe ad planum Horizontis,
sitque resistentia ut Medii densitas ex quadratum velocitatis
conjunctim: requiritur tum Medii densitas in locis singulis,
quae faciat ut corpus in data quavis linea curva moveatur,
tum corporis velocitas es Medii resistentia in locis singulis.
Sic FQ planum illud pl2-
no Schematis perpendieu-
lare; P F F Q linea curra
plano huic occurrens in
punctis P et Q: 6, TL, T,R
loca quatuor corporis in hac
curva ab Fad Q pergentis;
ae GB, HC, TD, RF Or-
dinacx quatuor parallelae ab
his punetis ad horizontem
demisae ex lineae horizontali P a ad Dunelu B C, D, F insisten-
ECS; Sc SINE BC, C D, D F. dictancix Ordinataru inter se equa-
lCs. A punctis C _c II ducantur rectae GL, FIN curvam tan-
gentes in G e PI, e Ordinatis CFP, DI Curlum productis occur-
rentes in L. e N, ex compleatur parallelosrammum IC. D M.
L