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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 437, page id 779785487:0495
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. 15.
18. 16.
L TB. II. DE AL PER A YIONF.
igieur lumina Cune ve Cuperticies
permutando; Ced hae Cunc re qua-
draca distantiarum, permucando;
igitur polica cora vi lucis in rnico
puncto, ita per radium diffundi.
cur lumen, re lumina sine i du-
Plicara distanciarum, permurando;
Poiro toca vis lucis lingulis radii
Punctis applicacur, licee iuXFa C2.
rionem praedictam, in viciniora
puncta, plus agac, minus vero in
remociora; pari modo tota vis
Sphaerae lucida in radium agic; ec
toca, lingulis punccis radii appli-
carur; et perinde se habee: atque
E tota in eo puncto luperticiei col.
lioereEME, a quo radius incipie, et
nalcitur; analogiam habes in glo-
bo, qui cum in alium impingicue,
coram luam vim, ab iplo conta-
ctus puncto exerit.
PROP. CZZIII.
Data sphaera lucida, es diametro
eins actinitatis cognita, si tota vis
datae sphaera in punctum colliga-
tur loneior erit diameter buius
actinitaris, quam illius: Ouod ve
breuirer demonstrem; sir Sphera
lucida CenErO A, e radio AB; GIE
BC distantia, inera quam; Tumm
lumen diffundic; sic collecta FOTa
vis Epherae lucidae in cenro A,
allumarur distancia AD, aequalis
BC; dico, quod vis lueis colle-
eta in A; longius agec; quod sic
demonstro, lumen, quod ck in Fu-
perticie sphaera actinicatis, cuius
radius est AC, est aeque incentum,
cum lumine, quod est in superticie
Sphara activicaris, caius radius est
AD, VE PacCC; eC enim lumen imPeF.
Fectisinu quod produci possirna-
cuxalicer; porrio camé luminis, quod
est inprima, el ad porcionem lumis
nis, quod est in secunda, re prima
Supersicies, ad Sccundam, ve constat;
estque prima luperticies, ad Pecun-
dairi, ve. quadratum AC, ad qua-
cracum AD, icague ve reducarur
eotum lumen, productum à cora vi
lucis, collecta in puncto A, ex dif-
Fulum inera Sphaeram actinitaris cu-
ius radius sE AD, ad aequalem in-
centionem, cum sic aequalis porrio
in singulis superticiebus. ve iam
cories dictum est, cerre (i 2(IIIa-
EUE MaiOr circulUS SphaeEx cuIUS
FadiuS SIE AD, _ duicatur in 4. Ha-
bebitur Cuperkicies. ciuldem Ephae-
ex; igieur si accipiatur circulus
quadruplo maior maiore circulo
praedictae Sphaere, Cirque basis cy-
lindri, cuius alcicudo sIE AD, haud
dubie ve balis reprelencar vlcimam
Cuperticiem datae sphaerae, cui scili-
cet equalis est, ica reliqui cireuti
aequales, e paralleli praefacae bali,
alias superticies repraesentabunt,
quibus cum insir aequalis luminis
Portio, cerre aeque incentum lu-
iven erit in omnibus cylindri cie-
culis; Peu planis parallelis ba(I, CUnE.
aurem cor huinsmodi plana, quot.
Cuperticies pexdictae (phaera; igi-
tur torum efectum luminis pradi-
ccus cylindrus bene repralentar:
iam veco sic Sphaera lucida cuius:
Fadius AIE AB, diftumdâcque fuUIM.
lumen inera sphaerum actiuicaris,
cuius radius sIE AC, vlrima Cuper-
fcies aequalis est circulo, qui SIE.
quadruplus maioris circuli huins.
Sphaerae, cuius racius est AC; _
cum in aliis luperkiciebus, a C, vex-
sus B, Sc Calcem aequalis portio lu-
minis (dico Calcem; nam maior cAt,
ve viaebimus infra.) cocus luminis.
efFectus reduci ad aequalem intem
cionem, hoberur in cylindeo, cur
2