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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)
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P1B. II. DE COMPRESSO ET PEHSO.
21
racioruim, et duplicata radiorums: na, est ad. tempus quo minor re-
vel. quod idem esto, in criplicata
radiorum : vel recubirodiorums
suppono enim pro cyronibus, cur
bum elle productum, ex lacere du-
eto, tum in seiplum, cuin denuo
in Cuum quadracum; v. 9. sic latus.
2.  ducas in se iplum, habebis 4.
Si demum in 4. habebis 8. hic est
cubus laceris 2. igicur sic radius
maioris cylindri AL, minoris vero
Cubduplus AF, exlindrus caius La-
35. 29. dius balis, Sic AL, ee alricudo X3,
erir octuplus cylindri, cuius ra
dius balis, eAt AF, alcicudo, FC,
igitur praedicti cylindei lunt in ea-
tione criplicata radiorum balIS,
igitur ee Spacia3 quod erac de
monst..
PROD. CL X LX
Tempora quibus reducuntur ina
guales membrana aequetensa, non
sunt et radii vtriusque membrana:
v. 9. Sic radius maioris non censa
e13. 19. AL, minoris AF; TEMPOLA NON
TUINE VE AY, AF; in hoC diffCTUNE.
membrana centae a chordis in lua
reductione: probatur aurem haec
propolicio, nam rempora Cune in
ratione lubduplicata spaiorum, ve
jam laepe supra dictum est; praeler-
rim prop. 86. sed cadii prudici non
Cunc in ratione lubduplicata spario-
rum, led suberiplicata, Per PrOP.
168. igicur rempora illa non lune
veracii, _c.
COROLL:
Flinc Primo collioo, tempor2
huiulmodi reductionum elle in 12-
tione subduplicata cy lindrorum,
de quibus Cupra v. 8. E cylindeus
maior sic octuplus alterius, cem
ves quo reducicur maios membra
ducitur, veradix quadeata 8. ad
1. Quae ratio in numero non potest
allisuari, secus camen in quanri-
cacc concinua; v. 8. in lineis; sic
enim AL, dupla AT, Si quadratum F18, 19.
A2, sIC 1. quadraTUI AL, cxit 4.
igicur quadratum IHI, est vF 8.
isitur cempus maioris reduclionis,
in hoc calu, est ad tempus mino-
EiS, VEIEL; ad TA; id est ve dia-
sonalis quadrari, ad Cubduplum
Lateris.
Secundo, ex his inveniei pores
radius membranae, cuius reductios
tac cempore subduplo; (Ic enim
cylindcus sub alticudine Y7, de
Fadio basIS AZ; invenIatUE Cylin-
deus proporcionalis subquadruplus
prioris; eadius Balis huius, exie
Tadius membran: cuius reductio,
S cendatur, tiec rempore Lubduplo;
nempe cempora Cunc in ratione
lubduplicara spacioruiri, vel cylin-
drorum, ve supra demonstratum
ett, Ced 1. e 2. Tune in patione (ub-
duplicara 1. 8 4. id est sune eadi-
ces horum quadiacorum: guomo-
do vero poltir haberi eylindrus
Proportionalis subquadcuplus alte-
FIUS hOC ECE AL INtOK. aMAS CXEEC-
maS. guaeum maior sic subdupla
alcerius, inveniancur duxe conci-
nue proportionales; nempe hi cy.
lindri Cune re cubi; MaIOE exECma
SIE A; maior media, sIE B, MINOE,
C; ImInOF extrema, D; si cubus vel
extindrus (ub eadio A, SiC 8. Tub
radio B, exir 4. (ub C3 2. Cub D; 1. Fig. 19
igicur re ad rem redeam intex YA,
a Cubduplam inveniantur dux
medix conrinué proportionales.
maior media dabic longicudinem
radii membrana, cuius reductiones
sieme rempore fubduplo, led lioe