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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 353, page id 1066518432:0381
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=381
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DE VLRIBUS ET MOTTBUS CORPORUM. LLB. II. 353
C OR OLL A R Y U M V.
624. Si Colicitationes centrales diriguntur ad centrum infinite di- Fis. 2A2:
Hans, ut in A9. 24. F. ita ut directiones AB, MN parallelae, axique F L
Currae EM A perpendiculareS SInE, FCCLX MN, AB hoc calu infinitx
atque adco aequales crunt, elisIs ersO AB=, MN ex CanOnC Para-
sraphi 622. habebitur MI: A = AR. SBAC: MIR. SNMP, velM =
A. AR. SBAC: MR. SAMP.
Sed li directiones solicitationum MX axi FF xequidistantes Cunt,
rCPCTICtUF CO CaTU MI: A = AR. sDAN: MIR. (OMO; ducta scili-
CCE MO paraIIelA RF.
Ec quia (5, 607. nUM. VT.) generaliter inveniebatur MX: M-
AB2: SB. in casu delcentus vel MX: MI =SB=: AB in casu ascentuS
mobilis, habebuntur ip(a MX utroque casu hujus corollarii, scili
cet cum carum directiones axi lF normales, e cum eidem paral
lelae Cunt.
C OR OL L A R T U M VI.
625. Tisdem politis, et graritate unitormi, Facili nesotio inve-
nietur secundum quam lesem densitatem aeris rariare oporteat, ut
projectile datam curram in medio resistente describat. Sit enim ACFIB. LAL.
fraritas unitormis in aere resistente, atque inter aermptotas AF,
tf descripea hyperbola TDL quacunque, Fat ubique SF ad AF2
UE AR. SF AC: MR. SNMP, in casU desCenSUS, vel AF2: SF2 =
AR. sFAC: MR. SNMP, ericque ubique D = L ST. SS: Mm. ubi
signum + est prodelcentu e- pro ascentione. Demonstratio hujus ex
praecedenti corollario Facilis cAt.
S CH OE T u m TI.
616. Sit AME. quadrans circuli cujus centrum in FvelHI, adco
que AR = NTR =MF, eE AR. SFAC: MR. sNMD; = AF3:
MO. ErGO AFE: SF: = AF3: MO, X per ConsequCNS 2. ASTD =
3. AOTD, vel 2. 5T, 55= 3. OF.O0, _ D (= ST. Ss: MIm) = 2OL.
Oo: 2MIm, vel (proptertriangulorum NImu SEMFIC Similicudinem)
=3OL. GTI: 2AF = ZOL. OF. GTI: 2. OF. AF =ZAF. AD. OTI.
2OF. AF = 3AD. OHI: 2OF =3AD. tanS. AFM: 2rad. F.A er3O
deM.