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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. 7:3-4; ZEN Leibn. Marg. 7:3-4)
# Folio 324, page id 779785770:0366
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32.4
PEZSTCE TRACTAEES VI.
BC, SB, _c. cogica quaelo glo-
bum ex inolliore pasta, vel cera com-
pactum, diuersis funiculis, vel orbi-
bus parallelis prettum; ita ve presio.
nes in veroque hxmisplaerio, sInE ve
orbes, hand dubic praedicto globo,
Roura oui inducitur.
Dices presionem orbis V P, esse
minorem prectione orbis QZ, licee
orbes aequales AINE.
Respondeo, elie quidem mino-
rem, ve constat ex dictis; led quia
OY maiorem invenic relistentiam,
VersuIS MI quam V T, versuS N:
verimque Ec compenlacio; hoc est
maiori pressioni, maior relistencia, et
minor, minori relpondet.
Dices (i supponatur orbis x B x-
qualis sB, licque linea p  gFa-
vicationis versiis centrum A, haud
dubie pressio orbis sB, est ad pres-
SiOnem OY, ve SB, 2d  Y; aC
rero maior est racio pressionis u B,
ad pressionem VT, naim voluacur
criangulum p A F, circa axem A P,
dx accipiatur porcio illa superticiei
coni, quam delcribie (CgMenCu X u,
icemque illas quam de scribit legimen-
tum V G, hoc polito, prestiones
Cune in ratione compolica Frxedicta-
rum portione, _ orbium r O, V I.
isitur haec ratio prestionum maioe
est, quamm illa.
Relpondeo, hoc quidem verum
ese, non tamen inde heri, vt aqua
alturgae Cupra N; allurgat enim in
T. Ei Heri porest; sic que quadrans el
Iypleos AOT, constac enim ex di-
ctis, communis huius, inxe qualilque
pressionis effectum, ellC AGuTaII, el-
lypricam vel Colidi ellyprici, quae
aqua prelsae inducieur; certe AO I
est maior AON, sed reerque de-
hec esse aequalis, nec enim crescie
maceria. sed eadem est aguX quan-
citas, luppono autem aquas currere à
B, in N, X in MI, re pacet ex dictis,
Tupra; isitur Luna, non modo est
caula elenationis oppolica, verim
etiam ae qualis, quod crat probandum;
vides ni Fallor, quam recte hXC CON-
venianE.
PROP. XX ZL YL1
Si Luna staret immobilis; e 10-
tam elobi terraquei superficiem aqua
occuparet, illi hand dubie ficuram
solidi ellyprici induceret, cuins dia-
merri eidem semper caeli puncto re-
sponderent: quod praedicta AguFa CIE
ellyprica, constat ex dictis, ve enim
pressiones in lingulis punctis arous
BD Cune subtenlae parallela BC, vel
ve sinus paralleli B A, ita X efectus
huiulmodi pressionum, hoc est con-
tractiones, re Ac loquar, O A, OD,
Rc. e ve totus arcus B D, respondet
tori OMI, vel pocius totus quadeans
BA D, Cori O A M; nEDC arCUS OHI,
maior cs areu B D; HOC FaIEN nOn
obstance, Cingula puncta aicus BD
relpondene lingulis proportionalicer
ArCUS OM, ve Patet; igieur, vele
habet toca collectio sinuum qua-
deaneis B A D, Parallelorum B A, ica
se habet tota collectio linuum qua-
drancis O A MI Parallelorum O A,
isieur O A M est quadrans elly.
Pleos, ve constat ex gcometria; adde
quod re omnes prestiones quadran-
tis B A D, qua lunE vE omnes (I
nus paralleli B A, primonilu aquam
contrahune, contormant que in qua-
deantem O A M, ita omnes pressio.
nes quadrantis O AMI, qua TUHEVE
omnessinus paralleli ( R, in hac
Forma, ∞ licu aquam ContinenE; er-
soictarum eadem est ratio et pron
porcio. gux illarum; isitur et sn
BBUM