# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0390
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0390?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 362, page id 1066518432:0390
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=390
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000390.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.91
# 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.

262 DE VPRLBOS F Y NIO TTBDS CORPORDM. LIB: PY
Demonstr. P. X centro corporis Auidi C CXCaNE tubI CP, CF ee
CD ad centrum C inter se communicantes e pleniliguoris seu Aui
di, guOrum PrIMUS PC aXI PP COnGrUAE, e CF eidem aXI perPCM-
dicularis (IE, Tertius vero CD ad ambosue libet inclinatus. Si moles.
Auida in quiere ACF, constat (5. 25T.) ejus superticiem sphaericam
Fore, atque adeo C F =CD = CP. Scd cogiremus jam eam eequa-
bili mocu rerolri circa Pp, Singulx Auidi partes R, I, CF, D, _EC.
Tuas rerolutiones simul absolrent, acque adeo carum celeritates ra-
diis CF, CI, HIC, FD, _C. proportionales crunt.
Verum, quia cum omni motu circulari conatus centrifuous mobi-
lis circulantis conjunctus est, ex ejusmodi conatus centritugi radiis
proportionales unt circulorum, quos mobilia in orbem lata pari tem-
Dore delcribunt, conatus centrifugi omnium partium tubi DC mi-
nores erunt omnibus conatibus parrium tubi FC; unde ii conatus
centrifusi conatibus graritatis contrarii Cunt, atque adco pressio cu-
jusque columnae Auidae aequiralet excessui, quo conatus gravitatis,
Seu pondus absolutum columnxe, excedit conatum ejus centrifurum,
_x I, existentibusDC ex F C aqualibus, excessus ponderis FC LUPTA
ejus conatum centrifusum minor est excessu ponderis DC supra ejus
conatum centrifugum, exit pressio columnae LC minor prestione co-
IIIna DC, unde, cum communiCANTCS InE, non poterunt in aequili-
brio consistere, sed debilior presio columnxe FC cedet fortiori DC.
atque adeo aqua in columna BC attolletuE, adt eO ut FC major AAE
quam DDC. Pari argumento conticitur, columnam DC majorem esse
quam PC, quandoquidem haec columna P. C UEPOtCaxI PP COnGrUCNSS.
motum rerolucionis malla Auidx non participat, neque adeo ullo
conatu centrituso pollet, pondere luo equat differentiam, qua Pon-
dus COlumNE DC CxCCdIE CjUS CONAtUI CENFrIFUIGUM. SUINEerSOC F.
major quam CD, ex haec major quam CP vel Cp, ac proinde Agu-
ra pEP A circa Pp in orrum acta producit sphaeroidem, cujus Pp
erit axis minor, ex malsa duida hujus sphaeroidis figuram induet.
Ouod exat demonstrandum.
aaL.
ejas celciu egolce da ceno centum cenuuu, l m piinet
diis rerum terra materia Auida ex grari consticerit, e in se iplam
X16. 245. ConVerti caperit. Sic enim in alcera figura PF A figura Felluris Aui-
diei
632. Tlinc graria circa ejusmodi sphaeroidem non tendiine ac.