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# 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)
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LIB. II. DE COMPRESSO ET TENSO.
PROP. CCLZZIX.
Decrescit tensio cylindri tensi in
arcum circularem, in ipsa reductio.
ne, in eadem proporcione, in qua
decrescit curnitas: Nempe exlindrus.
minus curuus, minus secedie a
non curuo; id est a FrsO; id est a
non censo; igirur est minus ten-
Tus: v. 8. Cylindeus AB, census in
18. 50. ANC, est minus curuus quam FCN-
Tus in AKD; quia ANC minus re-
cedir a linea recta AB, quam AHD;
2 qua quo plus recedic, plus cur-
uatur, ee plus cenditur; minus
vero concra, quo minus ab illa
recedir; igitur decrelcie tensio,
ve curuicas arcus, in ipla sedu-
ctione.
PROD. CCL ZZ X
Curnitas decrescit, in ea propor-
tione, in qua circuli peripheria cres.
18. 50. Cil: v. 5. CE quadrans AFC, incurue-
cur in Pemicirculum ADF; d qua-
deans AFD, in Lemicirculum AHIE;
acque ica in infinicum; hand dubie
crelcit continuo curuicas; idque in
ea proportione, in qua decrelcie
circuli peripheria; nempe COT2
curuicas, qua distribuitur (ve sic
Loguar) Foci ACO, distribuieur
EOcI AIED; qui cum sic (ubduplus
ACC, Cingulis parribus dupla cur-
uicas competie; igitur in eadem
Droportione curuicas crescit, in
qua circulus decrescit; igitur per
cacionem oppolicam, in eadem
curnicas decrelcie, in qua circulus
crelcir; circulus inquam in peri-
Pheria.
PB OP. CCLXZ XY
Determinari potest velocitas ac-
guisira, peracta soilicet reductione,
ab exrremo puncto arcus curnati
inxta praedictam hyporhesim: Sie
CtII V. 8. RECUS AKD, CurNatuSFIS. 50.
aequalicer; SIC linea DCB, quam
Ccilicer delcribit extremum pun-
ctum D; moru accelerato, verbi
gratia dato rempore; sic prima vis
morus. Ccu nilus, Ccu priina ve-
IOcIFAS, VEEF, duCaTUIE FO, dico
relocicarem a puncto D acquisitam.
in Cuo moru, per curuam DB, esse
ve criangulum EFO; est enim ea-
dem racio cum ilta, quam Cupra
de reductione extremi puncti chor-
dae cenlae Fuse Paris ex polLimuS; ve
enim lingula puncta chorda cenla
aequaliter cenduneur, ica ec linou
La aECUS AKD; dc ve lingula nilu
communi adduCunE CXEFCMUI
punctum, in chorda, ita de in ac-
cu; e venilus singulorum pun-
ctorum inirio lunc ve distancia a
puncto immobili in chorda cenlar
ita d in aecu; v. 9. vis nilus pun-
cti L. est ad vim nilus puncti B,
POlt InCUITIaTIONEM IN AHD, vi
LA, ad BA; Linc polco quod Sin-
sula puncta arcus AHD aeque cito
reducancur, de quo insia, veloci-
caces acquisua à Singulis, TunE ve
distantia à centro, vel immobili
puncto; v. 9. allumatur punctum
L craductum in I, Sic L A Cubdu-
Pla LB; SIE ES, Tubdupta FF; duca-
cue SO; dico rriangulum ESO elle
relocirarem acquilicam à puncto
R, tempore quo inregra sc redu-
atio; sed ve criangulum F. SO.
ad FFO, IF2 ES, ad FF, vel L A ad
B A.
ttor fuiteta ptateet utbad tenst
aeque loredneuntur: PEODATUE, quiA
Si punctum C, de punctum N, V. 8.
HIOR
DROP, CCLXXXII