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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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P H YSICA TR ACT. IV.
ius balis sic aequalis vlrimae Cupet-
Aciei praedicte sphaera actiuiraris,
crius scilicer diamerer est AC, alti-
tudo vero BC, aequalis AD, igieue
hic effectus cM maior priore, nam
hic posterior cylindrus eA maioi
priore; est enim ad priorem VE
quadeacum AC, ad quadeacum AD,
V. 8. vE 25. 2d 16. Sed rreique
effectus aequalis supponitur; igi.
tur vel prior crlindrus deber else
maior, vel potterior deber elle mi-
noc; isicur longior erit diaterer,
vel distancia, inera quam diffundie
Tuum lumen, vis lucis, collecta in
puncto, quam cadem, disperla in
lucida sphaera, quod erar demon-
Arandum.
P ROP. CZZTV.
Ouando lumen diffunditur a sphae-
ralucida; intra spharam actiniratis,
maior est luminis porrio, in propio-
ribus superficiebus, quam in remo-
rioribus: Sic enim sphaera lucida
cuius raaius sIE AB, d distancia,
intra quam agir BC, allumacur
punctum F, aeque distans a B, C;
Tumen in F, est ad lumen in C, ve
quadratum BC, ad quadFacuIm BF,
id est, ve 4. 2d 1. per prop. 122. lic
aurem Cuperticies, qua ducitur
PROP. CZ ZV.
enim in anoulis punctis ejuldent
Superfciei, sIE reque incensum lu-
per punctum I, de alia, qua du-
men, si consideretur tantum porrio
luminis, quod rii puncto ineli,
haud dubie portiones luminis, quae
citur per punctum C, cerre (i Cu-
perticies eslent re lumina, permu-
duobus punctis diuerlarum Cuper-
Acierum insune, Cune ve ipla lumi-
tando, aequalis esler luminis pOr=
na, hoc est re ipla incentiones;
isicur porriones, quae lune in dua-
bus superficiebus, Fune in compo-
io, in Tuperticiebus, ve Cupra
demonstrarum est; aequi Cupert-
Sica luminu, e luperticierum; v. g.
EieS nOr TUNE DE lumina, nam RXeC
ne puncta F, C; lumen in F, CAt
ad lumen in C, vE 4. ad c. CK 21I -
tem aeque incenum lutren, in om-
nibus punctis superticiei ducta per
lune in racione =. illa vero in ia-
F; igitur re habeatur tota portio
luminis, quae luperticiei praedicta
inest, debet duci Cuperticies in a-
rione =. igitur maior luminum
Y. 8. 9. in 4. e productum erie
racio, quam Cuperacierum;igieue.
porrio luminis in propiore Luper-
36. Pari modo est aeque incenlum
ticie, est maior porrione luminis,
quodremorioriinet.
lumen, in omnibus punctis lupei-
fciei, ducta per C; igieur duca-
tur Cuperacies v. 5. 25. In 1. Igitur
prior portio luminis est ad secun-
dam, in rarione 37. Sed haec est
compolica luminum, de superticie-
rum; nempe rario luminum cst =
Superticierum vero =. igicur com
POlca :. Sed profecto ingens disti-
cultas esse viderur; nam ideo dixi-
mus, in singulis Luperticiebus aqua-
les esse porriones luminis, cu scili-
cet lumen diffundicur inera (phaera
activiraris, ab eodem centro, in quo
cota ris luminis collecta esse suppo-
nitur, quia cum omnes radii. qui cer-
minantur ad vlcimans luperliciem,
ducaneur per medias, cerre tOrCen
sencur ese radii in lingulis mediis,
quOE
Portiones luminis, quae diersis
Superficrebus eins spata ma-
taris insunt, sunt in ratione compo-
sita luminum es superficierum: Cim