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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 436, page id 779785487:0494
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PEZSTCA YRACT. IV.
singulis punctis superticiei lucida.
Ephaerae, ad lingula puncta vlcima
Superticiei sphaerae actinicaris, cum
ab his illa videanear: FTINC, VE
iam Cupramonui, perinde res le
habet, atque si tora virrus lucidae
Sphaera in lingulis Cuperticiei pun-
etis colligeretur; itave, tota qui
dem sc in singulis, Ced nOn EOFA-
licer, eo Ccilicet modo, quem lu-
Pra explicui, e tora in omnibus,
Led toraliter.
PROP. C ZZo
Frinc dara diametro spbarae luei
da, es diametro sphara actinitaris,
quae ipsi respondet, darae emustibet
alterius sphaerae lucidae aeque incensa,
sphaera actinitaris definiri potest;
v. 5. Sc Ephaera lucida, cuius dia-
erer crniuslinex, altimo au-
tem lineam, pro duodecima parte
orani; de granum, pro duodeci-
ma digiri; ee digirum, pro duo-
decima pedis regii; hunC vero, PiO
quinca pallus geomerrici; denique
mille passus milliore continct; sc
autem diameter (phaera actinicatis,
dara sphaera lucidae quinque digi.
EOTUM.; SiF alia Sphaera lucida cu-
dus diamecer sIc. 5. sranorum; hoc
est 60. linearum; cerre (1. 1. daE 5.
digicos, 60. dabune 300. digitos,
Boc cA 25. Pedes resios; pari
inodo ommnis alcerius sphaera luci-
da aeque incenle sphera activica-
i. desiriri porcse.
P R OP. C Z X L.
Si assumantur sermenta proporrio
nalia, in diamerris inae qualibus spha-
rarum actiuitacis, lumina sunt pro-
portionalia in ipsis sectionibus: TIXC
propolitio sine aliqua explicario
diameter sphaerae actiuiratis AF; GIFFI∞. 15.
alia minor FIO; dinidatur AF BI-
Fatiam aequaliter in D, icemque
FIO, bitariam in E; dico lumina
in D _ L esse aequalia; pari modo,
lic AB, =. AF, icem III, =. FIO3
in B, e inl, aequale lumen cst;
Cmiliter sIE AC, = AF, aETIR,
=. TIO; in C, dc in R, lumen
aeque intensum est; quod ne graris
dicere rideae, Facile demonstio;
in F e in O lumen aequale cAt, vE
constat ex dictis; acqui lumen in
F, est ad lumen in D; ve quadra-
Em DA, 2d quadcacum PA, id
eCE VET. ad a. icem lumen in 0, ad
lumen in L, vF 1. 2d 4. igicur lumi-
2a in D, _ in L, Cunt aqualia; pari.
modo lumen in F, cM ad lumen in.
B, ver. 2d 16. icem lumen in O, ad.
lumem in L, vF 1. 2d 16. igicur in
B, _ in P, lumina Cunc aqualia;
denique lumen in F, eit 2d lumen
in C, VE 1. ad 9. icem lumen in O,
ad lumen in R, vE 1. ad 9. isitur
lumina in. C, e in E2, xqualia esio
necesse est: pari modo de Oimni-
bus aliis sectionibus LeGMCMEOEUI
Proportionaliu, demonltrari porect
PR OP. C Z ZE L.
Fx diccis manifesta ratio reaut
err, cur lumina, quae a lucida (phara
diffunduntur; sini in duplicata de-
stanciarum permutando: Hloc iplum.
iam Cupra demonstraru eAt in PCOP.
62. led posita Eoca vi lucis in cen=
tro, vel in puncto, ex quo lcilicee
in orbem propogerur; quia scili-
cet cum onnes radii ad vlrimam.
Cuperticiem (phaerae actiniratis FeF-
TInCMELE, aEquE adeo OIneS Per
medias superticies ducantur, aeque
cranleant, ranrumdem est luminis.
Bes. vix incellisi porest: iraque sit in rua lupersicie, quantum in aliai
joitM