# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0149
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0149?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 121, page id 1066518432:0149
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=149
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000149.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
# Lines: 53 recognised, mean confidence 0.81
# 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.

1C
de
n
d:
eat
de.
20
em
In
M
1
a
I
11
t
DE VARTBUS EF MIOTEBUS CORPORUM. LIB. I. T2F
hoc casu ambxe PN, ON cum inter se, tum etiam RN aequales,
unde cum generaliter sIE AD: 2FB =L NN.: 4. PN. ON, crit inhoc
calu particulari celeritas corporis A, ad celeritatem ipsiuS B abs NI
aCCeptam = L. N: q. RN., _ quia (5. 23T.) relocitas ipsiUS B ab al-
TerUErO Z vel Y accepta, es ad celeritatem initialem corporis A,
siCuIE q. PNT. ON ad L. N; erit ex aequo celeritas corporis B ab al-
Ferutro Z vel Y accepta, ad celeritatem ejusdem a COrPOrO M ac.
quisitam sICuE 4. PNI. ON ad q. RN hoc cA, sICut PNY. ON ad
C OR OL E A R Y W M TI.
33. Ouia (Constr.) PN: L. N = A: A + Z, BE L. N: RN = A L M.
A, CrIt CX XQUO PN: RN = A + M: A + X. Similiter invenietur
QN: RN = A + M: A + X, ergo per compositionem rationum erie
P
= (A + M): (A + X. A + Y) = AA + 2. AMI + MM.
AA + (X + Y). A + ZY = AA + 2. A. MI + AB: AA + (X + Y)
A + AB = A + 2MI + B: A + X + B, nam A. B = MM = XY, adco-
que unum alterius loco, ut factum est, substituere licet. Jam quia
X, M e Y Tunt in ratione continua, erit X + Y major quam 2. HI
atque adco A + X + V + BF A + 2MI = B; HInC CFIE RN.= PN.
QN; unde cum (5. 232.) celeritas corporis B ab alteruErO X vel Y
accexta, sit ad ejusdem celeritatem a corpore M ipli imprectam, sICuF
eN. ON ad RN, liquet hanc celeritatem illa perpetuo majorem
eNc. Imo haec relocitas mobili B a corpore M collata major exit
ea, quam idem B a corpore A celeritate AD iptum impulisset, nam
loco corporis X incellisi potest quodris corpus; atque adeo unum
ipsi A aequale, quod ab impellente A totam celeritatem (5. 227.)
CD accipiet, adco ut idem st, sire mobile A cum lua celeritate
AD immediate impingat in quielcens B, sire id impellat opc in-
termedii ipsi A aequalis cui totam suam celeritatem conculerit; un-
de cum generaliter octentum sI, interrentu cujusris corporis X, di-
versi ab M, minorem corpori B relocitatem collatum iri quam a me-
dio proportionali MI inEer CXtrema A, _ B; sequitur necerario
etiam corpus A alteri B minorem daturum esfe celeritatem quam ,
etiamsi immediate in id impingat. Atque hoc corollarium continet
demonstrationem Facilem Propolitionis penultimae tractatus Fusenui
de Mocu corporum ex Percustione.
C0.