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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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L. 1B. II. DF COMPRESSO ET PENSO.
A MIXCUM E ABC, repraesentat igieus peedicta linea ducenda cst
vim nilus puncti F, iuxta hanc per C; alia quoque puncta postune
hyporhelim; e si allumatur ve ba- haberi, li ducantur alii aEcuS: POrrO
iis Colidi, ductis Ccilicer lineis re-
etis, ab omnibus punctis ciuldem
plani EABC, ad rectam R L, ha-
bebitui Colidum repeaelentans rim
nisuS EOTIUS RLE, iuxca hanc hy-
pochelim; ac proinde Cingulorum
Punctorum.
Terrio, haec Polida Cune ve bales,
in quanis hypocheli; cum Cuppo.
nantur esse ciuldem alticudinis:
porro vis nilus exrremi puncti L,
in prima hypocheli, in qua distun-
dicur censio ab L, in F, aequaliter,
uniformiter, est ve criangulum re-
ctilineum, E. AC; in secunda vero,
in qua crescit rniformiter, vis ni-
TUS CA VE MIXEUI E ADC; incertia
denique in qua decrelcir vniformi-
TeF, CA VEMIXEUM EABC; ve au-
rem habeatur proporrio huiulmo-
di nituum contulenda est geome-
ErIA; naI FAC Continet =. FC-
ctanguli Tub E A, FC; _L ADC
denique F ABC =.
Ouarro, quando linea rendicur
in aicum circuli, ac deinde resti
cuicur, eranSIE per intinicos arcus
aquales, circulorum maiorum; v. 8.
10 50. ( linea AB, renla in arcum quar
Si vlcimum punctum B haberi pos-
Cec; haud dubie inde circuli qua-
dratura habereEur: QuaNAM VetO
sic haec linea DCB aliquando exi-
drantis AD; ducantUE ex linea AF,
Produca intiniri circuli maiores,
e maiores, quorum contactus
communis lic in A; ellumanturque
cimaui esse legmentum linea pla-
no rocarilis, quam Torricellus cy
ctum circuli in plano rocaci des
cribic, de qua iam actum est eract.
de mocu lib. 9. _ Fusc agemus in
Singulari cractatu de lineis mOrus;
Led ex geomerria, contrarium conr
in iildem, a puncto contactus A,
RICuS aQualeS AD, e Per exrIe-
loidem rocac, hoc est quam pun-
stac; igirur noua linea est, de qud
(uo loco.
mitates arcuum ducatur curUA
SC HO L
Obleruabis, IAI FCAATE VE PEO-
portiones, velocicaris acquisIca,
virium adducencium, recinencium,
emicrencium, lonsicudinis, crassI-
cudinis, _c. explicemus; quod ve
clarius hac, supponemus deinceps,
indexionem, vel incuruarionem he-
ri in circuli 2FCuS.
PROP. COLXZIV.
Spatia, quae a sineulis punctis li-
neetensae in ercum circuli, decurrun-
tur, non sunt et distantiae à centro:
In hoc diftere census arcus, dum se
reducie, a chorda cenla, de qua
supra Fuse actum elt; nempe haec
ica le reducie, ve spacia, quae à
singulis punctis decurruneur, sinc
re distantixe à cenero immobili; ac
non ica accidic, in reductione li-
DCB, haec est linea, quam del- nex cenlae, in arcum circularem;
cribic exrremitas D, dum aEcus
AD Se resticuic in AB; v. 3. SICFA,
dupla FA, quadrantis aEcuS AO,
quippe de hac rantum censione de
incepsagemus, cum aliae, vel 2d
Hanc reducantur, vel ex hac facile
eric duplus AD, dinidacur bifariam incellixi possine, vel propter in-
in C; arcus AC, eA aequalis AD;
curuacionis modum anomalum,
regulio