# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0346
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0346?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 318, page id 1066518432:0346
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=346
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000346.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.95
# 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.

3I8DE VLRLBVS F Y MIOTEBOS CORPORDM. LIB. II
PROPOSTTTOLZVILTHEOREMA.
549. Si cravitas uniformis exponatur sinu complementi alicujus an-
sult acuti es dati, ex grave in linea recta horizonti normali cadat in
aere, juxta indicatam in titulo hujus capitis hypothesin, resistente; a(
sumatur que quaedam maenitudo, quae sit ad loc. mum rationis; quam
tansens semissis complementi dati anculi habet ad tancentem semissis com-
plementi alicujus anculi variabilis ex majoris dato, ut sinus dati ancu-
li ad sinum totum. Sumptis scilicet loc- mis in locarithmica, cujus sub-
tansens est aequalis sinni complementi dati ansuli praememorati, quibus
positis,
2. Spatium, quod srave aliquo tempore perlabitur accelerato motu,
est excessus los- mi rationis, quam habet sinus complementi dati ansuli ad
sinum complementi variabilis, supra assumptam manitudinem:
2. Tempus, quo spatium istud absolvitur, exponetur assumpta maeni-
tudine applicata ad sinum rectum anculi dati:
3. Celeritas, in fine cujusque temporis acquisita, est, ut excessus sinus
anculi variabilis supra sinum rectum anculi dati.
15. 230. Cadat grare a quiete ex M in linea recta Ma horizonti perpen-
diculari, ac centro A descripto circuli quadrante BL CA, CxPONaL
in eo recta IM, quae est sinus complementi cujusdam dati ansuli
BAI, graritatem uniformem, et ducta porro qualibet SL. paralle-
la IM, jungatur AI; eritque angulus BAL, is, qui in propolitione
rariabilis dicitur, cujus recta LS es sinus complementi. Circa axem
MR e per lupremum quadrantis punctum transcat l0g- mica BCH,
cui linea L. N Parallela radio C A occurrat in N, recta rero IC ci
dem MC aequidistans in puncto C, per haec duo l0g-micx puncta
transeant ordinatae CrTI et NO; dein altumatur quaedam X, qua
Sic 2d l0g. um rationis A: AP SICUE AM sinus dati anguli BAI ad
radium AI. Ductis enim per puncta L ec L. ex puncto C rectis C P
et C erit OA: PA, ut tangens dimidii anguli IAC ad tangen-
rem dimidii L AC, seu ut tansens semissis complementi ansuli dati
BAI ad tangentem semissis complementi anguli rariabilis BAL;
nam AO: AP =tanS. L. CA: FanG. an8. IC A = tang. MIC: tanS.
SL. C == tanG. EIAC: FaNG. ZLAC. Ipla verO IIO, Teu log- us ratio.
nis GTI: NO, seu IM: L. S, est log. usrationis, quam habet linus com-
plementi IM anguli dati BAI ad Sinum complementi LS variabilis
BAL; provterca octendi debet r. spatium cadendo descripeum
ME