# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0388
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0388?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 360, page id 1066518432:0388
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=388
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000388.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

360 DE V ERTBUS ET MIOTTBUS CORDORUM. L. IB. II.
EC, SI AI Eat ubique ad Aa, ut MN ad D. MO, Crit RR: a~ = NNI.
D. NIO, _ NVM: a0== D. MO. RK, aEque MS. Ss: SX (=NN. a0:
D. MC.) =D. NO. HE: D. MO = HEk: MO. EE, Si denique SX P0
natur media proportionalis inter MO. de quandam Z, ita ut Z Fu-
TuTa SIE =SX: MO, ACL MS. Ss: Z. MO (seu SX) =PR: MG:
atque adco Z. IEk =MS. Ss, e problema praecile ad casum propo-
sitionis LXVII. hujus secundi Libri reductum est, quandoquidem
Z. CR, ut quadratum ordinatx SX in circulo, _ jam AI conside.
randa instar spatii mobili transmittendi. Propterca, (I juXta praece.
Dtum citatae propolitionis recta CB ec Cd sint tangentes angulorum
CZB, CZd dimidiorum iplOrum CZ X _ECZO, Crit (5. 549) AK =
108. (MO: SX) =MZ. 109. (Cd: CB): CZ. EC, quia (Consr.) AK:
Aa = NIN: D. MO, inveniCtuE AA = D. MO. 108. (MO: SX):
MNT: -D. MIO. MZ. 108. (Cd: CB): CZ. MN in logarichmica,
cujus subtangens eAt MO.
Per secundam partem propositionis ejusdem (5. 549.) erit tempus
per Spatium AI = 109. (Cd: CB): CZ; atqui +AK: TAA = AR: Aa =
NNE: D. MO, eroo tempus per spacium Aa nari transmissum exit
D. N. 108. (Cd: CB): CZ. MN.. Ouxe crant invenienda.
GOR OE L ARTUM T.
627. Ouia Solicitatio acceleratrix naris estubique ut SI, ee quia
ST in puncto C nulla eA, ipsa MC designabic maximam velocica-
tem, quam naris acquirere queat. LA vero propter triangula limilia
ACD CE AMN EE PFOPTer CD =CM; AC: CMI (vel DC) = ANI:
NIN = AMVN: MAVN (aut, quia nMI: NM (COnAL.) =VN: VM
atque adeo rec. lum NMT. VN aqualC NNIVM) =AMVN: nNVM,
adeoque COmPOneNdO AMI: CMI = ANIVN LNNTrM: nNIVM, id
Cst, b: OMI = bVNY + aVM: aV M, atque adeo MC = abrM: aV N +
brNV. Nam (consr.) est AM =a, eE nMI = b.
C OR OL L A R F H M TI.
628. Si D est finitx magnitudinis, tempus, quo nari maxima ce
leritas MC acquiritur, erit infinitum, perinde ac spatium Aa hoc
tempore percurrendum, ut id jam alibi (5. 550.) quadantenus est osten-
FLIM.
Sed si D eA indetinite parra, cum spatium Cum etiAM TEMPUS
que