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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 158, page id 1066518432:0186
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158 DE V FREBUS ET MOTTBUS CORPORUM. LID. II
cet graritatis specificae metalli ad liquoris graritatem, inrenire
OpOrtet diametrum LIN caritatis Dilae LTIK superticiei FDF Con-
centricae.
Ouia in casu aequilibrii pilae cum liquore pondus pile (5. 293.)
aequari debet ponderi, seu graritati matae Auidae DME, atqui pilx
graritas cA Factum Cx sphATA FDF - spher. TITK in specificam
metalli graritatem, quae cM ut 2, ex graritas manae liguoris, est ut
Factum ex ejus rolumine DMF in graritatem ejus specificam n,
ergo sphAT. FDE - Sph. TITM =n. SCGM. DME. DICanEUE FM, a;
CITCUMFEF. FDE, b; LMI, C X denique FIN, a; critque sphaera
FDE - (ph. TITI = (ab -bx): 6a; e legmentum sphaericum
DME = (3 abcC = 265): 6a, quod segmentum ductum in n, praebet
3abcen = 2bCn): 62 = (a b = bx): 6a, Cx qua elicitur ~ = a = 3aCCH
+ 2Cn, vel Y (a = 3aCCn + 2Cn) = _, Teu POSIta C =a: m, existente
m numero quocunque, exiretiam X = a Y (m =3m + Zn: m). Quod
erat demonstrandum.
GOR OL E A R FU M.
299. Flinc, u Tota pila Auido debet immergi, Het C = a, (eum = 1,
de Postrema aequatio mutabitur in x = a V (F = n). Fdcirco, (i pila ~.
nea in aere octingenties aqua leriOre natarE BONatuIE, CrIt, Positq
craritate specitica seris noncupla gravitatis aguae, n = +: 7200, 2t.
que adeo formula x = a Y (T = n) abic in X = aY (7199: 7200), at.
qui per compendium losarithmorum invenietur ralor rationalis
ipsiuS ar (7299: 7200) inter Fractiones decimales 0. 99995a e
0. 999964, adeoque a - x Ceu dupla metalli crassities eA minor quin.
que centies millesimis diametri FM, atque adeo crastities ipla FH
vel MN minor una quadraselies millesima ejusdem diametri PH
Particula. Inde, si globus aeneus carus parari deberet, cujus crasi.
tiCs MN tantum sic unius Ccrupuli seu 144mae Pedis Partis, Dilae dia.
metrum majorem 277 Pedibus esse oporteret, ut in aere librata con.
sictere Postit. Sin vero cum P. Francilco de Lanis Pilx aenex dia.
metrum 8. Pedum astumere relimus, ejus crassities minor require
retur, quam una quinquies millesima pedis pars; ac denique si did.
meter Catuatur cum eodem Autore Tom. II. Fol. 29r. Maristerii Na
turae e Artis, 25 Dedum, crassities metalli Foret minor quam tres
quadringentelimae pollicis parres. Elisce similia etiam exhibere
digna