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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 163, page id 779785487:0221
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L. 1B. II, DE SOHTS.
PR CP. LZZ Z V
Si sonus libere diffundatur, assum-
pris diversis distantiis, ab eodem
centro sphaera propacationis. soni
sunt in duplicata distantiarum, per-
mutando; Hloc eK, ve quadiaca di-
Ranciaru, permutando; re hoc me-
lig. 28. lius incelligatur, sic A cenrum PiO-
Pagationis Coni; allumatur conus
ADE, sirque distantia AD, dupla
distantia AB; SinE baseS BC, DF;
dico sonum in BC, esse ad sonum
in DF, ve basIS DE, ad basim BC;
nam radii Coni (ve lic Loquar) à
communi cenrro A ducti centen.
tur; iidemque continentur basi BC,
e baADE; Sed in hac, FunE magis
distracti, igieur minorem Tonuin
Faciune; nempe supponarur esse
oaium auriculae, in cenero veriul-
que basis, haud dubie pauciores
radii incidene auri poliea In cen-
ero balis DF, dc plures, collocata
in centrobalis BC; nempe radii
Tunt distractiores in DF, d dentio-
res in BC; haec qua hactenus di-
ximus, ita cerra lune, ve a nullo
negari possine; iam vero cum idem
lonus distribuatur, re Sic lo-
Quar, toci DE, a toti BC, in ca-
dem proportione, densior est, in
BC, in qua distractior, vel rarior
est in DE; Led in ea proportione, in
qua est densior, lune plures Par-
res, et in ea, in qua est distractior,
lume pauciores parres; atqui in ca
proportione est maior, in qua LLNE
Plures parres ex minor, in qua TuNE
Pauciores; isicur in ea proporrio-
ne est maior; in qua densior; de
in eaminor, in qua rarior; igitur
in eadem proportione est maior in
BC, quam in DE, in qua cst den-
proporcione cM densior in BC.
quam in DE, in qua DE cA maior
BC; vel in qua, in DE, est distra-
ctior, quam in BC; ergo Conus in
BC, est ad Conu in DF, ve ba(10
DE, ab balim BF; sed ve balISDF,
ad BC, ita quadratum rectA DF.
ad quadracum rectae BC; rel qua-
dracum distantiae ADB ad quadia-
cum distancia AB; eFgO COnI CUHE
ve quadeaca distantiarum a CenErO
propagationis, permurando; vel
quod idem est, in duplicaca distan-
ciarum permurando. Dixi ve dictan-
cixe ab eodem centro propasatio-
nis, non vero ab rltima corporis
Conori Cuperticie, 2 qua Conus pro-
Pasari incipie; nempe si ab illa (u-
perticie accipiatur distancia, praedi-
etam oinino LegCm PEopaSaTIO
non lequirur: adde quod ita expe-
rimenta consentiune, ve nihil vu-
quam masis consentiens excogica
ei possic: quomodo vero experi-
menca heri possine; paulo post di
cemus, nempe res ilta maiorem
considerationem poltulare videtur;
vix enim aliquid in eora Conorum
ie, quod sciru dignius sic, in men-
tem renice porelt.
D. R OD. L Z ZXVI.
Tlinc data qualibet distantia es
differencia distantiarum, ratio sono-
rum definiri potest: V. 5. Sic distan-
eia AD dupla AB; SIE POnUS in DF.
VE +3 II BC, eric ve 4. id est Si in
DE Sic re quadracum AB, in BC
etic ve quadeatum AD; iam reIO
Sic distancia AF, Subdupla AB, (0-
nuS Cxit In FG, ve 16. id est PonuS
in FC; est ad Conum in BC, ve
balis BC, ad balIm FC; Sed illa
est quadrupla huiUS; aE VeFO SIC AF
hor in BC, quam in DF; sed in ea eripla AF, cerrelonus in FC, est ad
2 2
TOMuId