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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)
# Folio 455, page id 779785487:0513
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di-
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Otbis
1
L. +D. LLL. DE RR E F R A CFIONE, _C.
rum explicatur es longior est: contra
vero cadens e medio raro, in densum,
concrahitur, es orenior est: Ratio pe.
ritue ex eo quod qualicas Cuo sub-
iecto coextenAATUE, PeF aX. 2. Pec
puncta phylica medii densi PUInE
minora; ergo linea ex iis constans
et contractor, soicur si idem pun-
CEOEUI HMIMETAS LIPPONAEUE, CCTEC
linea constans ex punctis densis,
contractior ex brenior est; alia vero
dua ex punctis raris constar, lacioi
e longior estiigicur radius luminis,
qui coexcenditur lineax, in medio
denso, erit contractior, et breuior,
in Faro lacior, ex longior; idque nOn
in eadem proportione, in qua me-
dium est dertrus, Vel rarius; sed in
Cuberiplicata; v. g. unum medium cst
octuplo denlius alio, igieur linca
medii densi, est subdupla in longi-
cudine, ee larieudine, linea medii
xari, licec aequali punctorum n-
erO veraque constet; Scd idem
Prorsus de radio luminis, quod de
linea medii, cui coexrendicr, di-
cendum est; ex hoc exemplo seli-
qua Facile incellises.
vior est radius es contra loncior ra-
dius quo spacium illud rarum maius
est; v. 3. BE Lucta X in A, Cicque
eius sphaera dclucaris cadius in
Tolo medio raro AK. in (OlO den(O.
AC; cerce quo pius eric rari radii
extremicas provius ad LL, quo vero
minus propius ed C acceder; igitur
quo Sparium carum MINUS CFIE, L2L
dius erir brenior; qud resd maius.
illud, hic maior e longior; quod
exac probandum.
PROP. XV
Onamuis lumen in infinitam fere
distanciam diffundi videatur, assumo
ta tamen qualibet portione luminis
diffusi in medio raro cogniio, definiri
potest, quanto medio denso praedicta
porrio luminis competat, coenita sci-
licet densicarum ratione; Sic v. 8. lu
cidum in A, quod per quodlibee
medium lumen Cuum difundat,
etiam s vis in infinicum; sIE porrio
luminis diftusi per medium rarum,
inera Sphaeram, Cuius radius sIC AKR;
sit aliud medium octuplo densius,
v. 8. detinire possum cadium (phae-
sa, cui in hoc medio denlo praedi-
Eta luminis porrio competit; sIE
enim AC, ad AK, in Tubcriplicaca
2. 2d 8. CeKEC AC es FadiuS quL~T-
Ex Sphxra; nempe re in coca (phae-
ra medii rari, d in rora medii den-
E. cora vis luminis proporrionalicer
distribuitur; ita ex Cadem, vel aequa-
lis porcio luminis, proporcionalicer
distribuicur, inera minoret (phe
ram medii cari, e inera minorem
medii denti, ve constac ex dictis;
tinc ve se habet radius (pHAEE
medii cari, ineea quam eocum lumC.
dilrunditur, ad radium sphaera me-
dii densi, IMFEA quam CFIAI FOFA.
vis luminis proprsacur, ica sc habee.
xa dius minoris Ephaerx medii rari,
ad radium minoris sphara medii
densi, modo inera reamque equa
lis porcio luminis diftundatur.
PROP. XY 10
Tonnulla, qua ad praedictas proi
portines percinent, explicantur,
quae in certa capita, ac cerros nume-
ros distineo.
Sio. ad A Eed
DROP. XTI.
Raas cadens extedio den(o in ra–
PR OP. XL
inc quo minus est spatium carum.
ex quo radius in densum subit, bre-