# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0153
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0153?run=74
# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 67, page id 779782283:0153
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=153
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000153.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine
# Lines: 84 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.

L1IB. II. DE COMERESSO EF PENSO.
TeMBOrC R, ve craperium CS, ad
craperium DS; Led ve se habet CB,
ad DB, ita sC habet CS, ad DS, VE
Pacet; isitur eadem est proporrio
velociratum acquisitarum, cum in
maiore, cum in minore excestu, post
decurlas parres spatii proporciona-
des, id est, iildem cemporibus.
PROP. LXVITI.
Velocitares acquisicae, ab extremo
puncto; in parcibus sparii aegnalibus,
sune ut numeri impares descendentes:
v. 9. Ct Spatium cocalis reductionis
AF, dinisum in duas partes equa-
les AD, DE; relocitas acquisita per
Spacium AD, est ad acquisItam PeF
EpRFILM DE, ve craperium DB, ad
ErianGULUIM DEHI: id CA, YE 3. ad 1.
pari modo dividatur in 4. parteS
aquales ACDEF; relocitas acqui-
LITa In AC, est vE CB; in CD, Ve
DL; In DE, VEEHL; In EF, VEFFO;
id cst, YE7. 5. 3. 1. Vides nuIeTOS
ImpatCS.
DROP. LZIX
In moru accelerato eranium, ve-
locitatis crementa, vel excessus, sunt
2t rempora: v. 5. Sic criangulum C a-
i8 6. LILEANUML AFF, SIE TeMPIIS AF, (p2-
TiIM AFF; velocitas acquilica tem-
POTC AE, SIEFF; Sit data velocitas
BI, acquisita cempore BI; tempo-
LC BC, CFCenEUm CA NFI, d rem-
Pore CB, crementum eA OC; led
reOO, ad NEI, itaDC, 2d CB;
Tunc enim eriangula proporciona
lia; igicur velociratum crementa
TunE re cempora: hinc aequalibus
cemporibus, accedune aequalia ve-
Locitatis; Crementa.
ROF. L Z d
In nostro moru reductionis chorda
tensae, temporibus aequalibus, acqui–
runtur aequalia velocitaris momenta
V. 5. sic tempus toralis reductionis
AFB, Stque relocicas in A, VE AB;
SInE tempora aequalia CBLI, ve- Fig. Sa
locitas acquilita tempore CB, est vF
CB; tempore vero LL, VE LI; 10i-
tur aequalis.
PROD. L Z X I.
Determinari potest ratio spatio.
rum, es velocitatum, sive assuman-
tur sparia aegnalia, sine aequales ve-
locitares: Primo sint aequalia (pa- Fi8. 5.
tia ACDEF, quae Ccilicet compo-
nunc Spacium AE, tocalis reductio-
nIS; dico, velocicaces in his acqui-
RFaS, essC VE CB, DL, EHI, FFO,
id eA, VE MMMerOS impates, de qui-
busiam Cupra prop. 68. Ii vero allu-
mancur velocirares aquales, V. 8.
sic rocalis velocicas acquisita ABF, Fig. 7.
Ccilicer tempore tocalis seductio-
nis, Scque CB, aequale CIF, (p 2-
LIA CFUNE AC, CF, V. 3. AFA, CIC 2.
exIE FC, radix quadrati 3. Cune au-
cem rempora re relocitates.
PROP. LZZII.
Dato spatoo. quod dato lepere per-
curritur, ab excremo puncto chordae
ten(ae, moru contractionis, determinare
spatium, quod aequali cempore, ab ex-
tremo puncto chorda minus tensa per-
curritur: Sic extremum punccum
chordae magis censae F, d minus
Fena DI; SIE P.M, Epatium quod ab Fi8. q.
F, dato tempore, percurritur; (IF
DNT, ad EML, VEDG, ad FFI; dica
DII, esse quaelicum spatium; quia
CUIM AOTUS D, SIE ad IOLIM F S VE
D6, ad FLL, per prOP. 59. de cum
MmOTUS