# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0224
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0224?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 138, page id 779782283:0224
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=224
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000224.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine
# Lines: 90 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.

138
DE ZSTC A YR ACF ATVS I.
HIR ad FIN duplam 6O est re8. punctum; siE Spatium AF; (E AB,
2d 12.
DROP. CCZZZII.
Si tubi sunt ejusdem crassicudinis,
sed diversa longicudinis; e compres-
sionis, determinari potest ratio tem-
porum, in qua reducuneur: SunE
enim in ratione compolita, ex Fa-
tione longirudinum, e ratione
determinaca in prop. 231. si enim
Cola esser longicudinis differentia,
HaBCEHE FATIO TCMPOTIIM, CX PFOP.
230. S vero solius comprectionis,
Habetur raTIO TeMPOTIIM ex prOp.
231. Si demum veriulque, tempOra
Tune necellario in patione compoli-
F2, _C. SCd de FATIONC FCMPOTIIM,
in comprellorum reductionibus.
Parum curandum est; cum camen
in censis maximi Aeri debeac; cum
Ccilicet ex illa FOTa Fere COnOrUM
res secundum rationes grauis, e
acuti, pendeat.
PROP. CCZZXI
Potest determinari ratio velocita-
tum, quae acquiruntur, in reductio-
nibus cuborum, eiusdem longitudinis,
es crassicudinis, sed dinersa compres-
sonis; item ratio virium impressa-
rum, comprimentium; iactuum,
e c.
Primo, non modo extremun
punctum, quod pro bali mobili,
re lupea monui, accipio, reloci-
tatem luam acquirie, verum etiam
reliqua puncta, quia omnia mo-
Mentus moru accelerato, quo sci-
licet relocitas angetUI.
Secundo, equidem extremum
punctum acquirit relocitarem ma-
iorem; quia Ccilicet movetur, cum
in principio, cum in progrellusve.
cie. 7. lociori motussic enim A excremum
relocitas, quam habet in princi-
Pio motus, cerre relocitas, quam
acquirie, repex lentatur criangulari
plano A F B; sit aurem aliud pun-
ctum, quod extremum non eAt, F.
SIE Spatium EF, de relociras, quamm
habet inirio mOTUS EK, vel AB,
coca velocitas acquisita ab F, LC.
praeleneatur criangulari plano
FRF.
Ferrio hinc relocirares acquisi-
Ex a diuersis punctis, ciuldem eu-
bi, dum se relticuie, lunt in ratio-
ne spaciorum, quae à Cingulis pun-
ais decurruncur; sic enim AF Spa- Fig. 7.
tium decurtum ab A; SIC FF de-
curtum ab F.; velocitates TUINE vE
AF, FF.
Ouarco, hinc relocitas acquilira
ab iplo cubo, dum Ce resticuic. pos
comprelsivrem, eAt vE CuneuS, Cu-
ius alcieudo sic ipse tubus, non
comprelsus, _ balis, sic planum
rectangulum aquale criangulari,
repraelentanti relocitarem ab ex-
cremo puncto acquisitam, de quo
MUIII. 2.
Ouinto, hrinc Facile determina-
tur rario velocitatum, quae acqui-
TUNEuE, per reductiones cuborum,
eiuldem crassicudinis, de lonsitu-
dinis. Ced dinerlae comprectionis;
Cunc enim re cunei ciuldem alcitu-
dinis, quorum bales, (InE VEve-
locirates ab extremo puncto, rbi
e diverla compressione reducitur,
acquisira; unc autem lx reloci-
caces, re plana criangularia rectan.
sularia, Tub spario ec prima velo-
citate, v. 8. Cc TubUS +2. Dedum Y ,. D∞
CB, aëre plenus, comprimacur pri-
mo in CA; cum in CB; compressio
In E. C, est ad compressionem in
AC, rE 2. dd L. PCF PEOP. 225. d 229-
igirur