# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0672
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0672?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 586, page id 779782283:0672
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=672
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000672.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine
# Lines: 91 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.

586
PEISICF TRACF A TVS II.
enim ABC, cirra pondus expen- mutando; igitur hae rationes Tun
Cum, in G; ducatur FF, pondus
GFF, est ad relistentiam balIS FF; vE
pondus GBA, ad relistenciam balIs
BA; quia pondus GFF, cA ad pOn-
dus GBA, ve criangulum OFF, 2d
crianoulum CBA; criangulum vero
CFE, est ad GBA in dupliCaTA FF,
BA; vel GF, CB; Ced resistencia
FE, est ad relistenciam BA, in du-
plicata FF BA, vel CF, OB; igicur
pondus OFE, est ad selistentiam
FF; ve pondus GBA, ad relisten-
ciam BA; igicur momencum OFF,
2dFF, est aequale momento CBA,
2d BA, ratione scilicet ponderis;
Sed momencum GBA, est ad mo-
encum CFE, rarione dictancia,
ve CB, ad CF; quod erac demon-
standum.
COR OL L.
Hinc colligo primo, pondus
eriansuli ABC perinde se habere
2d momentum, quo contra celi-
Aenciam A B enicieur, aeque (2
pondus crianguli ABC Cuberiplum,
appenderetur in C; nempe perinde
le haber, acque si pondus equalo
ABC, 2ppenderetur in CenErO OFa
viracis, led s ducacur zB, parallela
AB, per cenerum orauicaris erian
suli ABC, BB est Cuberipla BC; igi-
cur pondus appentum in. C7, dehee
elle luberiplum appentr in B, veFa
ciar verumque aquale, momen-
eum.
Secundo, hine vices OMIenEd
ponderis appensi, ee proprii, elle
in ratione permucaca; nempe mo-
menta ponderis appenli, ad FL,
BA, Cune re distantiae CP, OB, per-
ucando, PeF PFOD, 69. aF verO
momenca ponderis proprii ad FE,
BA, CUmE YEFF. 3 BA 3 NOM DCF=
PerIMUEaEX.
Terrio, hinc s habeacur rario
veriusque ponderis, cum proprii
cum appensi, momentum ad BA,
dicicur cum racione ponderum, hoc
est appensi. de Cuberipli, criangule
ABC, cum a cacione rectis GB, tum
a rarione rehltentiae balis AB, idem
dico de momenco ad FF; v. 8. CIE
Dondus 6, 6. lib. sic Cuberiplum
Ponderis ABC, 4. lib. IUIMg2nEUECI-
iul, eric collectum 10. lib. Cum
auLeM SIE GFF, 2d GBA, VE 1. ad 40
v. 9. _ collectum ex , et Tuberi-
PlO CFF; hoc secundum colle-
ctum eric 7. lib. igicur rario colle-
ctorum erit 28. distanciarum, 2
rotistentiarum permucando, =. com-
Polica ex his, =. igirur momen-
cum cocale ratione veriulque pon-
derisu distantiae, de relistentiae, mo-
mencum aduersus FF, est ad mo-
ventum aduersus AB, VE 27. 2d 20.
hoc est unthaec momenea in com
Polita, collectorum, distanciarum,
e relistentiarum permutando.
Ouarro heri porest, daca qualin
bec bali, cum BA, ve pondus ap-
pensum, sc cale, scu pocius cale
collectum, quod Faciac ad dacaire
balim, et 2d BA, aequale momen-
cum, quod reuera hec, E pondus
appentum, sic medium proporrio
nale, incex Cuberiplum maioris
crianguli, e minoris; v. 8. (c b2-
LisFF; siE BC dupla BF; criangu-
lum ABG, est ad LEC, VE quadratum
BC, dd guacraci FCid est re 4. ad 1-
Sc media provorrionalis inCEF 4. 10
Scilicee 2.addantur 2. Verique; cacio
collectorum erie, 5. distanciarum
relistenciarum, permurandos
igitur compolica:. vides aequa-
licarem: rario est, quia li en duplom
C