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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 326, page id 1066518432:0354
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326. DE VERFBUS EF MIOTTBUS CORBORUM. LEB. II.
Elementum vero l0c- micum priratirum est elementum loc. mi ran
tionis majoris itidem inaequalitatis, quam maxima magnitudo alicujus
variabilis habet ad hanc rariabilem.
2. Mulciplum quodcunque vel submultiplum elementi cujuscunque
maenitudinis variabilis applicatum ad ipsam magnitudinem, cujus est ele-
mentum, est elementum loc- mi rationis multiplicatae vet submulcipli-
cacx rationis, quam variabilis marnitudo habet ad summiminimam ma-
enitudinem, aut quam maxima magnitudinis variabilis habet ad ipsam
variabilem, prout elementum loc. micum positivum aut privativum
fuerit.
15. 233. FsO F.. Quancitas rariabilis u, ejusque minima magniendo a, ele
mentum log. micum = du: u erit elementum l0g- mi rationis (W: a).
Sin vero magnitudo u, cum maxima cl, (IL = a; Crit = du: W = elem.
rationis (a: 11). 2. Tisdem posiris, si habeatur mdu: ut erit hoc cle-
mentum log-mi rationis (W: a) multiplicatxe juxta m, id cAt, mdu:
u = elem. rationis (un: am) ubi m significat quemlibet numerum in-
teorum vel Fractum, rationalem aut irrationalem, eEC. e =mdu:
u=elem. rationis (an: Wm). in l0g. mica, cyjus subtansens et unitas.
Sit TAF. l0g-mica circa axem MF, cujus TuBEanSCNS DO RquCtuT
unitati F, SInEque CD magnieudo rariabilis ac continue crelcens
ejusque minima magnitudo AB, ordinata rero variabilis OTI sIE
magnitudo continue decrescens, ejusque maxima etiam AB; pOnan-
tur Cd _ eB ordinatx ip(IS CD ex OTT indehinite propinguae, du-
etisque Ck, EY, aXi MF parallelis, crunE en InCrementum ipSIUS CD
adeoque en crit policirum; ipsum rero Cr erir decrementum ordi-
natae CFI, atque adeo priratirum. Hlisce PolItis,
15. 233. L. Ouia (5. 49T.) = Cn: C. D = Dd: OD (aut quia subtansens OD
aequiralet unitati) = Dd, X quia Dd est clementum ipsius BD seu
105. mi (CD: AB) erit omnino cn: C D = elem. l08- mirationis (CD:
AB) hoc est + du: W = elem. l05. mi raT. (H: a), PO(tiS AB, a; CD, 11
dC Cn,. du.
Eodem argumento probatur esse -Gr: GTI = elem. l09. mi ratio-
nis AB: GII, hoc CA = du: W, = elem. l08. (a: W1) Peu 108- mi (AB:
CH), vocatis nunc OHI, i; ac Cr, du existente AB, etiam-
nunc a.
TI. Ostendendum, eNse m: Cu: C D = elemento log-mi (CD: ABm)
Sit enim BD: BF = L: m, acque adeo BF = m. BD, adeo ut exCi
tata in F Ordinata FR, Cx natura lOg -MICX SIE CD: AB =F F: AB.
Verum m. Cn: CD = m. Dd: DO, _ Omn. m. Cx: C D = omnibus m. Dd: