# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0204
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0204?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 118, page id 779782283:0204
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=204
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000204.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine
# Lines: 88 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.

P E YS ICK TR A CF A X VS I.
Fi0. 23. Chorda AC, _ CF; divertae alcieu-. dere, modo supponantur esse einsdem
dinis; censio puncti C, cA ad ten.
Tionem puncti A, repondus, quo
EendituF C F, 3d pondus, quo ren-
ditur AF; Ced pondera LUInE VE
chorde; tae vero, ve alcicudines;
isitur censio puncti C, est ad ren-
sionem puncti A, vE C F, est ad
AF; ioieur censiones lummoruin
18. 23.
punctorum, Cunc ve alcicudines.
PROP. CLZZX V
Tensiones seomentorum einsdem
chordae, sunt et quadrata alticudi-
num, modo quodlibet seementum as-
sumatur, ab insimo puncto chorda:
materia, es crassicudinis, sunt ve
quadrata ipsarum chordarum: Sine
Sic enim chorda AE, in qua a(-
lumaneur segmenca, ab imtimo
PUnCtO F, ED, FC; dicO LOTaM Ten.
lionem Ceomenti L V, esse ad cen-
sionem lesmenri L. D, re quadra-
tum Ceomenti F. D, ad quadeatum
Leomenei FC; quod Facile demon-
Aro; nempe cum censio puncti A,
SICVE A H, censio uneci B, eA VE
BM, _ C, VECL, _ D, VEDR; igi
euT Si a Cingulis C. F ducantur li-
nCa, ad LF, Patallele CL, habe-
Dicur criangulum F. CL; itemque si
a lingulis punctis DE, ducantur li-
enim dux chOrda CE DE, C cen- Fis. 25.
0 puncti C, CA VE C L; centio
nea in KF paraIlela DK; habebi-
tur crianguti EDI; Ced lingulae
puncti D, CA VEDH; per PEOP. 184.
igitur cora censio chorda FD, est
linea delionane singulorum pun-
corum, centiones; isIEUL EOEUIM
Triangulum EDK delignat eotam
ve criangulum EDK; chordae re
EO CF, ve criangulU, FCL; led
TenSIOnCI SEGMENEI F D; tocu
vero CCE, toram centionem leg-
menti FC; Led haec triangula, CUIE
re quadrara legmentorum, igi-
tur ee censiones, quod crat de-
monst.
DROD. CLZXZVI
haec Cune re quadraca chordarum,
ex elementis; IOIEUE _ FOEX TeM-
liones chordarum, crune ve illa-
rum quadraca; quod crac de-
monst.
DROD. CLZZXVTI.
Tiinc tensiones totales chordarum,
sunt et quadrara ponderum: Nam
pondera Cune re chordae; sed cen-
liones Cune ve quadraca chorda-
LUM, Pet PFOP. 186. igituF rE qua
draca ponderum; rel in ratione du-
TIinc toca tensiones inaequalium
bordarum tensarum i proprio. pon-
plicata ponderum; dixi censiones
corales chordarum; non vero sin-
sulorum punctorum chordae; nem-
Petensio puncti D, est ad censio-
Ne punCLI C, VEDK, 2d CL, vel
VEDE ad C F; igitur centiones qui
dem lingulorum punctorum, lunt
ve alcicudines; vel ve chorda; at
rero censiones leomentorum, vel
chordarum. Cune ve chordarum
quadrata
EaS COHEFA PTOP. 187. nempe cun
Sit eadem proportio caulacum, et
effectuum per 2X. 4. e cum rensio
Sic effectus, e pondus caula; ca-
dem esle ridetur proportio ponde
eum, e censionum; igitur censio
nes TunE VE Pondera, nON VerO ve
ponderum quadeata: haec obiectio
difficilis est; quam tamen ex nostris
principies
 d
Videt ec laca