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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 234, page id 779785487:0292
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PHZSTCEE TR ACT. III.
eio conorum Cub exrrema maiore,
ex Tub media minore, est duplicata
exETeImaT, rECOnItaL ex geOINE-
Eria, id est hi coni lune ve quadrata
extremarum; led Coni Cune in Cub.
duplicara conorum, permutando;
isicur re extrema permucando,
Sed extremae Cune in ratione quaesi-
ra Conorum; hoc iam octendimus,
quando excreme Lune in ratione
.Cc aurem cario =. Cincque 3. 2.
dux extrema; conus sub diametro
3. est ad conum similem Cub dia-
metro 2. rr 27. 2d 5. E aurem Cune
inter 3. 2. duxe medixe proporrio-
nales, conus smilis, Tub media
minore, erit 12. ec Tub maiore
exit 18. nam vr 8. ad 12. ita 12.
2d 18. ica 18. 2d 27. Time enim cu-
bi concinuarum proporrionalium
continue proportionaless re patet
ex geomerria; led re quadrarum
Tadicis 2. id est 4. ad quadracum
radicis 3. id cst 9. ita 12. 2d 27:
igitur s encio conorum Cc 22. id
est 2 eario lonorum id est lub.
duplicata eric 3. quid clarius.
Seprimo; hinc reiicies, quoquor
Fere de campanarum re lcriplerunt
qui nulla racione fulri, pronuncia-
runt Lonos elle in criplicata camm-
panarum, id est in racione lariru-
dinum, seu diametrorum basis, no-
do campanae sine Cimiles: nec cs
quod ad lua experimenta contu-
giane, cum enim sumplices CamDa.
nas conicas, non adhibuerine, sed
alias, eo Ccilicet modo tabricatas,
quo vulgdtabricari Colene, in qui-
bus est maxima Conorum diuersi-
ras, quid mirum, si contonanriam
probe distinguere non poruerint:
nos adhibuimus cum viereas, eum
mecallicas conicas; es quantum
Tenlus percixere porvit, praetatas
proportiones accurarisime obter-
vanimus; porro; ne hoc eriam
omicram, luperticies aequalis cral.
Sicudinis adhibuimus.
Octauo, si campana hguram py-
tamidalem habeae, idem pFOrsuS
dicendum est, quod diximus de
conica; de cplindrica, sine sc ab
altera basi claula, siue verimque ad
instar cubi aperta, eodem modo
detiniendum est, nempe loni (unE
re spacia permutando; spatia vero
re cylindri; idem dico de campa-
na ad instar prilmaris, vel cubi:
iam restat ve de (phaerica idem di-
canus v. 8. Sc Tuperkicies Flemi. Fi8. 55.
Spharica A F D, cuius basIS SIF
ALDI; haud dubie (i puICCCuE in
A ConabiE; SE alIaBEC, Cuins
balISSIEBKCEI; Ponus illius, est
ad Conum huias, ve radix quadra-
ea Hlemisphaerii AFD, ad Fadicem
quadraram Flemisphaerii BFC; SIE
nurem AD, dupla BC HlemisphX-
rium maius est actuplum minoris;
IOIEUE FONUS AFD, CA ad FOHIII
BEC, ve radix quadrata 8. ad r2-
dicem quadeatam 1. hinc ve habeas
diapaCon; Ant dux mediae pFOPOE-
rioiales inteF AD, BC, _ DEOCC-
de resupra; nam hic nON rePCTO:
Praeterca porest esse inceora Luper-
ticies (phaerica; erirque eadem lo-
norum proporcio, ve paret; ideimr
dico de Superticie polyedeorum;
nempe in his omnibas Foni FunE
in subduplicaca Cpariorum, decur-
Torum, dum corpus pul(aTu LC-
ducitur perriurando; Tunt aurem
praetaca Sparia, non quidem re ipla
Luperkcies, Ced re ellene ip(a Coli-
da, ab iidem luperhciebus rerme-
nata.
TTono, campane vulod AUInE
minco modo, ve rides ABC, nec Fis. 63
eiudm