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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 196, page id 1066518432:0224
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Y96DE VLRTBOS ET MOTTBOS CORPORDM. L IB. II.
C OR OL L A R L U M I.
350. FX hisce nunc Facile elicietur ralor rectae BI aut requalis
TI vel AMI. Sed in hac determinatione casus distingui debent. Nam
fictulae longitudo AB major esse potest quam AC, vel minor. Si
illud, ex quia angulus lemirectus IBKE lincam BL alteri IK aqua-
lem efCit, adeo ut ROura IKPB SE quadratum aequale duobus re
ctangulis IO d OP simul, hoc eAt IR: =TI. BC+ FOHI. HN =II.
BC + AC. AL, ergo TK = iBC + Y (iBO + AC. AL). HIinc exi.
sente BC nulla coincidentibus punctis B _ C, Aet IK = V (AC.
AL).
Sin rero iisdem positis fistulae AB longitudo minor Fuerit quam
AC, fiat AB cidem Actula longitudini sequalis, positaque constru.
ctione problematis antecedente paragrapho tradita, similifere argu
mento invenietur ik = - .BCr + Y (BC + AC. AL).
C O R OL L A R F U M TI.
35T. Si jam cum Cl. Tac. Bernoulli, qui etiam in suo Tractatu De
Gravitate Atheris pas. 1T7. Peg9. hoc problematractarit, Ponamus
AC vel AL, 4; BC, b; adcoque AB = a + b, AC = b +C, unde
AC - AB = BC =c = a, e denique OM = V; Substitutis hiscC va-
loribus in ultima aequalitate paragraphi proxime antecedentis, in-
venietur il = a +γ = :1 = :C + V (+ 44 7 : 2C + :CC + ab) adcoquo
= = 24 = 2 C + Y (+ aa + : aC + :CC + ab), Gux CA ipsIsIma XquatIO,
quam insignis rir etiam reperit. In eandem incidiremus aequatio.
nem, Ei in altera Formula corollarii praecedentis loco BC substitutum
Fuiset a =c.
Tn numeris SIE ACula AB, 2F. digit. AC nunc 27. digit. AC,
2. dis. invenieturque il rel AM, 3. digitorum adedque BM,
28. digitorum.
PROLOSLLIO LAV LLODDEMA.
15. 65366 332. ado coumnae arsentt Diot. aqu dabene prestont almo pisa
ra e loncitudine fistulae AB, definire quantum spatium AC aeris na-
turalis consistentiae plenum in summitatem fistula debeat introduci, ut,
postquam aer ex AC se extendit in spatium AM, Mercurius in data
altitudine BM intra sistulam suspensus maneat.