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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 18, page id 1066518432:0046
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18 DF V ERTBVS E F MOTLBVS CORPOKOM. LIB. I.
est, ut factum ex superficie ABC in distanciam F. P centri ejus gra-
ritatis a centro corporis P. Nam numerus punctorum scu solicita-
rionum est ipla superticies ABC, ejusque centrum graritatis est
centrum omnium punctorum, quibus rectae Colicitationum repraelen-
tatrices terminantur.
F18. 10.
CO R O L L A R Y u M TTI.
5x. Ominimo s idem mobile P, ad Singula CUEVX ABC puncta
urgeatur, sed solicitationibus non ipsis PB dictantiis punctorum a
mobili, sed ipsis LP in Cingulis BF sumtis, e in curra quacunque
DEEIcerminatis, proportionalis. Frit etiam nunc omnium solici-
tationum PI media directio PF recta jungens centra mobilis P et
C18. 12.
CUEVR DLFI, ac Colicicacio ex illis omnibus resultans, Factum ex
SrarItatC CUIErX DLTI in rectam EP; Sed hujuS CUEVX parteS nOn
uniformiter grares intelligendae, rerum difformiter; ita ut ductis
per homologa utriusque curra AB _ DIHI puncta B, L tangenti-
bus BM _E LM in puncto M concurrentibus, graritas puncti B
Curra ABC uniformiter graris, sic ubique ad homologi puncti I.
CUIEVA DLEI, graritatem ut rectangulum MBP ad rectansulum ML P.
PROPOSTTTO VI PROBLEMA.
53. Invenire mediam directionem solicitationum quarum vis AC, BC,
CC, DO quibus puncta A, B, C, D lineae rectae instexilis AD ur-
sentur.
Ex quolibet extra lineam AD puncto Oagantur per singula li-
neae puncta A, B, C, D in quibus linca juxta directiones AC, BC
ecc. urgetur, rectae indetinitx OAt, OBF, OCF, ODF.
ductisque per linsula puncta e in quibus lineae Colicicationum aut
Potentiarum applicatarum repraelentatrices terminantur rectis inde-
tinitis FC lineae AD parallelis ex lincis OA, OB, OC, OD _C.
quantum opus est productis in punctis I Occurrentibus. Dchinc
singulis AF, BF, CF, DF _c. in luis direetionibus transterantur a
puncto concurtus O, respectire aequales Oa, Ob, Oc, Od ec.
punctorumque a;. b, c, d centrum graritatis e inveniatur atque in
linea OM per hoc centrum e, ex punctum O ducta lineaeque AD
OcCurrente in F, TUMatUE F.MI, quxe Sit ad Oe ut numerus puncto.
rum a, b, c, d ad unitatem; ductaque per punctum MI recta NL
aequidistante ipsi AD, altumatur in ea NL omnibus FC inter AF.
BC