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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 313, page id 1066518432:0341
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DE VTRTBUS EX NIOTTBUS CORBORUM. LIB. II. 3TZ
aEque adeo habetUF MP: F F =TMT. AMI: GIM. OM, aEqUCMP. OM.
OM =FF. IM. AM. AE, qu. I.
Per punctum A ducta lit l0g- mica FI AB, cujus lubtangens quae-
libet RC sIC ad AMI (sccundum hypochesin) =IM. AM: OMI. MP;
atque adco RC. OM. MP =IMI. AMI. A qu. II. Et per puncta I3
G, O, agantur rectae IK, GTI, OZ, _ OB alimptotae l0g-mica
SE parallelae, 10g. micae occurrentes in punctis l, II, X e b, per
quae ordinatae RI, TIN, ZY e BC duCEX SInE; AaE MIE =
 eritque PES Scala relistentiarum _ tempuS, Quo (pa-
TM. LN
tium ME in linea deferenti MIS percurritur, Ccu MMF = (MC=
L N): ANI.
IMI. L N
AM eritetiam
. An, Tunc enim Fe, Cc, et Hn elementa linearum
TM
Fe =CC--
ME, MC _ L.NI. Praeterea, quia etiam (constr.) OO =MO, erie
pariter C8 =FIi =19 = Bd, adeoque (5. 49T. nUM. TF.) ecc- lum
HINm= rec. lO BCC, ac proinde CC: NIn =GMI: OMI, Et CC5
TM
AM. AIn =OMI:
77
TM
ap. QMI = OMI. AM: IM. OM, et conrertendo
Er. Nn: C0 = GMI. AMI -TM. OMI: GM. AM (ret
Fe leu C0 -=
quia OMI. AO AQUatuE GHT. AMI -TMI. OMT) =OM. AO: ONI.
AM, ex propter triansula similia RCB ac bd B cA, CC: Og = RC:
OM, crgO ex aequo et per rationum compositionem R e: (19 =RC.
OMI. AO: OMI. OMI. AMI =RC. OMI. MIP. AO: MIP. OM. OM. ANI,
(rel substitutis IOCO RC. OM. MIP _ MIP. OMI. OM opC A qu. II.
de I. Tolidio respectire aequalibus TMI. AM XE P F. IM. AM) =IMI.
ANP. AO: IMI. AM. RF = AO: FF; adeoque comparando priman
cum ultima ratione, habetur Ke: 19 = AO: EF, atque adco R F.
Ee= AO. O9. Id eAt momentum solicitationis acceleratricis P F in linca
deferenti MIS aeqnatur momento celeritatis acquisitae AC in hac linca
deferente.
III. VE antea (nUM. FF. hujuS) erit CC: Nn =GMI: OM, et COn-
vertendo Cc =Hn: CC=OM (TCu 6O): OM, de Cc: 19 =RC:
MM, ergo C0 -Hn: Og = RC. OM: GMI. OMI =RC. OM. MP:
MP. OMI. OM =TMI. AN: FF. IM. AM, substitatis Scilicet lOcO
olidorum RO. OMI. MIP EE MP. OMI. OM aequalibuS IMI. AN e
EF. IM. AM, quxe aequalitates secunda d prima num. P. exhibene;
RP