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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 23, page id 1066518432:0051
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DE VERLBUS ET MOTTBUS COReOKUM. L1B. I.
S CH O L 1O N.
23
58. Eadem methodo, mutatis mutandis, obtinetur media dirc. Fis. 24.
etio potentiarum lincae currae D AA utlibet applicatarum. Nam (I
Potentiae vel solicitationes applicatae repraelententur per lincas AB,
quarum unaquae que relolvatur in Cuas laterales potentias AC, axi
CUEVX DE Perpendiculares, e CB cidem sequidistantes, produ.
atisque CA ulera axem DE, ut singulae FF singulis AC aequales
AanE, Potencia IN singulis PF simul sumtis equalis d per carum
centrum aequilibrii ducta axique perpendicularis (5. 54.) erit P0-
tentia seu solicitatio omnibus EF equipollens, unde cum singilxe
hae PF Cingulis AC aequales atque directae OpPOSEX SInE, Omnes
FF cum omnibus AC in aequilibrio manebunt, ergo etiam unica
Potentia IN universis F F aequipollens cum iisdem AC in aequili-
brio consictet; pariter ductis DE azi DE normali, ex rectis inde-
tinitis AII eidem axi parallelis, et in iis Factis OII singulis CB re-
spectire aequalibus, erit potentia IL universis OHI aequalis e pa-
rallela crantiens per centrum aequilibrii IE harum GTI, cum iisdem
GTI (5. 54.) in aequilibrio, ergo duxe potentix laterales IN e IL
cum unirersis AC ex unirersiS CB in directionibus AC agentibus,
id eAt, universis OTI in aequilibrio consistent, at que adeo cum om-
nibus obliquis; at rero ex potenciis IN e IL (5. 49.) nalcitur PO-
tentia, cujus directio IO transit per punctum I e centrum gravita-
eis O punctorum L ex N, ex quxe exponitur per multiplum rectae
10 secundum punctorum L. E N numerum, hioc est per 2. IO; ex-
80 talis potentia sola in sequilibrio erit cum universis AB CurVe
DAA applicatis, idcirco (5. 37.) recta OI producta in M, dat me-
diam directionem IMI omnium pocenciarum AB, e hrpomochlium
R currae DAa applicatum sustinebit onus sequale 2. OI ab omni-
bus applicatis porentiis AB. Ouod crat inreniendum. C aeterum et AI
Dunctum I, quod est communis intersectio rectarum KL e SN in
curra DA ele ridetur, in eam tamen incidere non debet, aC propterca
puncta PX R Cunt semper diverla.
Constructioni hujus Scholii non multum absimilem etiam repe-
rit Cl. Varignon. Verum in hac constructione non omnia cuerX
puneta ab applicatis pocentiis urgentur, nam casus quo singulis
ejus punctis potentix applicantur, pendet a quadraturis ex centris
Graricatis quarundam figurarum currilinearum, ut ex seguenti Pro-
politione etucescet.