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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 233, page id 779785487:0291
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LTB. II. DE SOH 25o
ve CD, ad PD; vel AB, ad EF;
cerce praetatae superticies lune in
duplicata diaMCEFOLLI AB. P F, vel
alticudinum CD, PD; igieuE Cuper-
Acies coni C AB, est quadrupla (u -
perticiei coni PEF; Fatio iltorum
est, quia supertcies coni explicata
est area, vel Cemicireuli, vel se-
ctoris, reparet, Led area lectoris,
est aequalis rectangulo, sub Cermi-
diamerro, et Termiperipheria eius-
dem sectoris; ve constar; igitur
CIIL AEER LCCFOFUM CINE VE PEXFaTa
rectangula; luperticies quoque co-
nocum, lectoribus aquales, re
Peataca rectangula erunt.
Ouinco, duarum campanarum,
quarum cum bales, cum alcicudi-
nes inaequales Line, Poni, sunE in
Cubduplicaca conorum, permuran-
do: (InE enII COnI CAB, PFF (I-
miles; v. 8. Ccque AB, dupl2 FF;
haud dubie hi coni lune in tripli-
cara alricudinum; vel diaCErO-
rum balis, veconstat, ex Geome-
eria; igitur conus CAB, est ad
CONUM PEF, rE8. ad 1. igitur (p2-
tium reductionis illius, est octu-
plum spacii, reductionis huius;
led rempora lune in Subduplicaca
Epaciorum; POni vE FeMPOTA, Der-
murando; Spatia ve coni, igieur
Coni in Subduplicata conorum,
permuranido; igirur Ponus campa-
NX CAB, est ad PONUM PFF, VE
radix quadrara 8. ad radicem qua-
deacam 1. id est vE 2. =. paulo plus
ad 1. Flinc Facile haberi porest dia-
Palon; cum enim coni similes (IIE
De cylindei similes; e hi, vecubi;
sinc inter AB, FF, dux mediae pro-
Porrionales; haud dubie cubus sub
extrema maiore, eric 8. Tub mino-
re exrrema 1. Tub media maiore 4.
nus similis cono C AB, Tub media
maiore; cerre hic crit ad CAB, vE
4. dd 8. eE ad PFF NE 4. ad Y. AaL-
que alter conus (ub media minore,
eric ad C AB, VF 2. ad 8. _ ad PFF,
vE 2. 2d c. igitur conus lub media
maiore, cum cono PFF Faciet dia-
paton; cum enim sine in rarione
e cum Coni sine in lubduplica-
ra conOruM, permutando CerFEFA.
eio subduplicara permurura erie
= vides diapalon; pari modo co-
nuS, Cub media minore, cum co-
no CAB, Faciet diapaton; cum
Ecilicet Ine in ratione Z. vel
quod idem est
Sexto, Flinc dara campana na-
IOFC, r. 9. C AB, Facile haberi
pocest alia, qua faciac Conum in
qualibet alia rarione, v. 8. vis dia-
paton, id est Conum ad guem (0-
neS CAB, AE VEF. 2d 2. accipe
diamerrum batis AB; cum eius
Cubduptam, incer hane et illam sinE
dux medix proporrionales; altu-
me mediam minorem, _ Lub hac
diamerro construe campanam coni-
cam, similem priori, id est cuius
alticudo, sic ad alcieudinem maio-
ris, vediamerer ad diaincerum, et
habebis diapalon; hoc est campa-
HaII, CIINS PONUS AE ad COnMM
CAB; rE 2. ad 1. vis diapente hoc
est COnu, qui SIE 2d FONUM C AB,
vE 3. ad 2. accipe diametrum AB,
cum lineam, Z, qua sic 2d AB, vE
2. dd 3. IHFer X3 _ AB, CnE dua
media proportionales, allumeme
diam minorem, et sub hac diame-
tro balis, construe campanam (1-
milem CAB, ex habebis diapente,
hoc est Ponum, qui sic ad Ponum
CAB, rE 3. ad 2. eodem modo
procedes; re alias consonanrias in-
sub minore media 2. igieur tac co. venias; istio istorum est, quia r2-
Fom.
rico