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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 25, page id 1066518432:0053
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DE VEREBRS ET MIOTFBRS CORPORUM. LTB. I. 25
OHI=BT: OT =SC. BI: SC. CT, CFIE CX XGUO EF: GTI =BV
OT: SC. OT = BV: SC. PExterCa, ut num. P. ORensum, eA ctiam
BV: BS = ba: BB, e BS: SC =BB: bB, CrGO IECrUM CX aquo BV:
SC =ba: bB, at modo habuimus etiam BV: SC =PF: OFI, CrgO
EF: HIO = ba: bB, atque adeo HIC. ba = F F. bB = rectangulO P. D aFCX
AXFF inscripto.
TII. Jam quia potentia BC currae puncto B applicata (5. 39.)
retultat ex lateralibus BHI axi AY perpendiculari, et FIC cidem
parallela, ex singula puncta elementi Bh ab eadem potentia obliqua
BC urgentuT, Potentia, qua totum elementum afticitur, est ut re-
etangulum BCr. ba cujus alcitudo ba mustitudinem potentiarum obli-
quarum omnibus elementi Bb punctis applicatarum exponit, rectan-
sulum BFI. ba exponet potentiam axi perpendicularem, et II6. ba
Potentiam eidem axi parallelam, quae ex obliqua BCr. ba ad elemen-
tum currae Bb pertinente derirantur, t Cx quibus haec (5. 40.) rC-
sultat. Onde, quia (nUM. L. _C TF.) octentum BFL. ba = rCC- lOC deF
HIC. ba = rec- IOFD, omnes potentix BC. ba resultabunt ex omni-
bUS CDaFCK AZDC inscriptIs, _E CX omnibIS RD ATCX AZFF, in-
Pcriptis, cum singulae BC. ba ex singulis Cd e FD naICANEUT. AF-
qui ex omnibus potentiis C8 (5. 54.) resultat potentia A. MR cum
hoc rec. lum (ConAtr.) aequale sit omnibus Cd, (CU AFCX AXDC, cui
INSCTIDEA TUINE, _E POteNFIX A. MR directio tranSCAE Per Centrum
STaVIEaTIS arCX AZDC; _ ex omnibus potentiis ED resuItaL pO-
centia A. OM, quoniam (ConAr.) hOC rec. luM A. NIO = AZFP
ejusque directio O transit per centrum graritatis  ejusdem arex
AXFF. PFODECrCA BOTCNEIK A. MIO eE A. MR in directionibus suis
MO, MR in aeguilibrio consistent cum omnibus potentiis obliquis
BO, BC, dtc. curra AB in singulis punctis applicatis. Sed Cx Po-
tentiis A. MO _ A. MR reluIEat (5. 47.) POtentia 2. NII. A Cujus
directio MII transiE per centrum graricatis I punctorum O et l,
quorum graricas Ainsitur esse A. Ergo etiam haec pocentia 2. NII. A
in aequilibrio erit cum omnibus BE, eC. aequo adeo ejus directio
MII in contrariam partem P produeta MIP (5. 37.) erit media di-
rectio omnium potentiarum BCs, BC, ecc. ec 2. BII. A CXPOnCE OnUS
quod hrpomoctilium Z in media directione MP a potentiis rectis
lustinebic. Ouod crat demonstrandum. In fisura male contundun-
tur puncta  et M, quorum hoc non in CurrA AB, Scd intra Rgu-
Tam ABC situm esse debet.