# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0246
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0246?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 160, page id 779782283:0246
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=246
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000246.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.

AC
P H YSIC_ TR ACT A YVS I.
inceora reductio, re dictum est rum rna sc dupla alterius, in lon
Tupra; craperia vero, A inceora
Fig. 7. non Rac; v. 8. SE punctum A, Cu-
ius vis compressionis, seu vis no-
CuS3 SIEVE AB, lIC AF Spatium cO-
calis reductionis; si Aac inteorD
reductio, relocitas ab illo aequisi-
ea, est ve criangulare planum ABF;
si veco hac vlque ad F, velocitas
acquilica, cA VE crapeZIUM AEOB;
si vero compareneur duo puncta,
quorum rnum incesram FaCIAE KC.
ductionem, aliud non inteoram; li
supponacur aequale veriusque (p2-
tium reductionis de aequalis initio
vis mocus; velocicatum differencia,
est eriangulum proportionale. Tub
differencia Spatiorum; v. 8. acqui-
SiCa ab A, dum SC ECdUCIE, PeF AF,
est aequalis acquisicae ab A, peF
AE, CIM LaIMEN PEr AF intesra re-
ductio feri cantum possic, minus
rriangulo FOF, provortionali cum
ADF, _ Cub laTCLE CF, quae est
differentia spaciorum cUm vero
AF Lupponatur esse longirudo ma-
ioris Astula, hoc ekt, cocale (p2-
rium, ab extremo puncto, per in-
cegram reductionem acquilirum, sI
Sc alia fictula, lonsirudinis (ubdu-
pla, Ccilicet AD, etiam res hXC
5. 20 detiniri porest; sic enim AP (p2-
eium cocalis reductionis, sIE PDC
relocicas acquisita, ab exEremO
puncto; sic pyramis ADOB, SIC V. 8.
Fructum ASSYT, dico relocitatem
acquilitam per AT, esse traperium
PDBT, acquilicam inquam ab ex-
tremo puncto; ue aurem sic coralis
relocieas acquilica; sIE cuneuS, Cu-
jus aleitudo lic re alcicudo Culphu-
ris, e balis rectangulum aequale
EraperiOPDBT.
Duodecimo, (i sic eadem altitu-
do pulueris in duabus Aistutis, qua-
sicudine, ciuldem tamen cxassicu-
dinis, sicque dupla A, Cubdupla
B; Sic aucem prima coniugacio; ica
re maceria accenta in Actula A, nOn
exigat excensionem maiorem caui-
care Astule, nec minorem, led pe-
nicus aequalem; accensa vero in B,
maiorem exipat, cauitare lui cubi;
SIE aurem AB lonsicudo maioris Eiz. 37.
Actulx; PF., MInOTIS; SIE AM, e
FC, alcicudo materia accenlae,
compressa in veraque Accula pror-
Ius aqualis; GIF AB longicudo man
ioris cubi, Peu cauiFLtIs, aEque ex-
censionis debirae materia accenta,
in AMI comprellae; SIC MK v. 9.
VIS IOLHS CHErOMA BaLIS, BMK, est
velociras ab exrremo puncto, vel
bali acquisira in reductione inte-
Sta; cerre materia comprellâ in
FCr, dd inceocam reductione, exi-
SIE CAUILALEM EOTIUS Tubi FC.
aequalis AB; sed cum longicudo
Accula RuIHS SIE CANELI F F , NOn
habet nec maceria inrea Ailtulam
Cuam inteoram LeduStiOnCM FC;
Led cancum illius partem PF; igItUE
exEFeIBa BalIS, VEL CKEECIMUM DAN-
ctum C praedictae materiae, cuins
vis nocus, inirio, eAt VEOHI,
aequalis scilicer MK, dum reduci-
tur rlque in F, acquirie velocica-
Fem, craperio OTIVS repraelenta-
cam; isitur acquisica ab AML iNEFZ
ictulam AB, est ad acquisitam ab
FC, inera Rstulam FF, re criangu-
Lum R MB, 2d praedictum trape-
zium, id est maior superac mino-
rem, criangulo proporrionalis
SVO, Tub SC, id est sub disterencia
Spatiorum.
Decimorertio, Si verd sIc Secun-
da coniugario; vis aegnilica in
veraque tutulas aequalis ett; nempe