# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779785487:0509
# Permalink to this reading: https://leibnizlegible.com/page/779785487:0509?run=74
# 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 451, page id 779785487:0509
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=509
# Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000509.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine
# Lines: 89 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

L IB. TII. DE R EFR ACYTOHE, QC.
ExFeH(IOHO, rE PaceE ex terminis;
e cum qualicas, r. s. lumen, Cuo Cub.
decto coextendaEUF, peF aZ. 2. deni-
que cum idem lucidum cumdem
luminis effectum semper producat;
caula enim neceltaria, 20CnS quan-
rum porest, idem Cemper producii,
DeI aZ. COLMLTUIHC, CCTTE VECOH
crahicur subiectum densum, cum
eodem parrium numero, ita quoque
lumen; quod ipsi inest, concrahi
necelle es; r. 9. sc agens lucidum
518. 25. A, quod incra medium carum, luum
lumen dittundat. per cotam Iphae-
tam, Cuius radieis sE AD; lEque
idem lucidum A, in medio dento,
intra Cphaeram minorem, Puum lu
men diftundee, v. 8. cuius radius
SIE AC.
PROP. IT.
Coenita ratione densicatum, data-
que sphara actinicaris, einsdem luci-
di, in medio raro, definiri porest
Sphara actinitatis ejusdem, in medio
denso; Sic v. 9. Facio densitatum
8. Srque lucidum A, _ Sphaera
actiuicaris, in medio raro, cuius
FadinS SIE AD; QNTIIMREUE AC, CUB-
dupla AD, dico, Sphaeram actiuita-
eis eiusdem lucidi A, in medio den-
Co, esse illam, cuius radius liE AC;
CUIM CHII OrauIEaTeS SINE vE dens-
EaFCS S SE HX VE CXTONLIOMeS, Per-
mutando, polito scilicet eodem
Pondere, hoc est eodem partium
numerO, Per aX. 3. _ cum sphXI~
linc in eriplicara radiorum, cerre
Sphaera, cuius radius CK AD, OCFI-
Pla cA Sphaera, cuins radius SIE
AC; ergo cum haec semedii denti,
e illa rari; eadem est proporrio
Sphaerarum, quae denlicatum; Per-
murando; erso (unc ciuldem pon-
deris; igitur ciuldem parcium, seu
ASI
punctorum numeri; igieur aequa
Jem veraque hrabet portionem lu-
minis diffusi, Scilicer in duplicata
distanciarum permutando; igieue
Factum ett, quoderat pEOPOLITUo
PROD. TTI.
Lumen intra veramque sphaeram,
proporiionalirer distribuitur, ac dif-
funditur, assumpta scrlicet, in vtra–
que eadem distanciarum proporcio-
no; v. 8. Sc radius maioris AD,
dinisus bitariam aequaliter in C;
ticque radius minoris AC, dinisus
bifariam in F; dico lumen C, mi-
noris sphaera, esse ad lumen, in
F, ve lumen in D, aioris, ekt 2d
lumen in C, eiuldem; nempe in
vlrima Cuperhcie veriulque, cadem
eAt intensio luminis, ve in l. 2. laIm
ostenlum est; igitur in F minoris,
et in C maioris, cadem; naIm FD
Maioris, est ad C eiuldem, ve qua-
dracum AC, ad quadeatum AD.
hoc est ve 1. ad 4. Sed C minoris,
CA ad Feiuldem, re 1. 2d 4. Cr90
in F minoris, et in C maioris, lu-
minis incensio cadem cst; idem dico
de aliis parribus maioris, de mino-
ris, proporcionalibus.
PROP. TV
Lumen videtur esse intonsius, in
minore, quam in maiore; licet
non su intensius: Ilic minorem ac-
cipio, pro illa, qua est medii den-
li, d maiorem, pro ea, qua est me-
dijrari; hoc polito, probatur pro-
policio; nam cum tor line punctas
Ccilicer Phylica in minore, quor in
maiore; e toc in radio minoris
AC, quoc in radio maioris AD, (ub
cadem semper hypotheli, e FOc in
vlcima superticie minoris, quoc in
vlcimamaioris, eor demum in ciriga-