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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 400, page id 1066518432:0428
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400
A
P
P F N D I X.
RV; et bB. Np (Vel BB) =RV: RB =GR. RV: GR. RB. ErgO
Cx aquO pn: Ap = R2S. RB: CRL. RB = RS: (TR, vel (quia PAO an-
sulo GSI aequalis Factus cA) = AP: PG, eAt vero ctiam pn: NP =
Dg: Ng, erSO AP: PO =Dg: NVg. hinc, quia AO (Constr.) =DN,
erit AP vel MO =D9, _ Aa = IR = Dd. Onde, cum (5. 155.) D9
sIt ad Dd, ut relocitas in A repraesentata per AI ad relocitatem in
NV, et in hyverbola RM ordinata MO lIE ad RI uE AI ad AO.
haec AO ommino exponit celeritatem in N, ex cum OF vel AF
ConAr.) aequet differentiam ordinatarum AMI, RB, id cst, ordina-
Carum AD, ND, in utraque Agura crunt aequales ip(x AF, acque
adco curra TTIF erit scala celeritatum mobilis in curra AN delcen-
dentis vel alcendentis, adeoque ducta ejus normali RY eXPOnCE
lubnormalis F.Y (5. 134.) Colicitationem graritatis secundum ND
in CUIEVX AH puncto N. Duod crat demonstrandum.
Coroll. Si D Fucrit origo abscissarum DR, atque hae abscissae di-
Cantur A, Ordinatxe respectira RB, 2, radius AC, r, distantia
originis abscictarum currae sB a centro circuli AFL, Scu DC, e;
exIE CR = e + A, Si punctum D cadic inter C ex R, uc in Aisura, vet
e =A, Si inter A et R, ac denique A - e, s punctum D cadit Cx-
tra radtium AC; BONamUS erSO CR = e L A, CxITquC GR =
(55 + 2eA A) ubi ss=rr - ee, dicatur pariter elementum abscis
DR (eu Rr = B, a2Z, CTIEque RV = BZ, _ RS = = BZ, SubsIt-
tisque omnibus hisce Crmbolis in praecedenti constructione, repe-
XICEUT AO2 =FF 2 = L, (ss F2CA = A.). nn
62
B.24 _ ex hac elicietur ipsII-
Sima Formula circa finem 5. 169. Patet erso hanc posteriorem cum
priori cgregie consentire.
Elinc, si puncta D, C coincidune, curraque HB eAt hyperbola in-
ter alimptotas orthosonales in C conrenientes, quarum AC una,
CrIE In CUrrX AN puncto N graritas, secundum ND, ut =  e ip(a
curra AN erit ea, cujus Netonus ec Joh. Bernoullius constructio-
nes dirertas in speciem, re rera tamen conspirantes, exhibuerunt, hic
in ACt. L ipL. 1713, Pa5, F29. ille vero PrODOL. XLIV. Lib. I. PrinC.
Pnil. Nat., ut supra pa5. 80. indicarimus. HIxc curra AN duas
asimptotas habet a centro ririum D aequaliter distantes; et quidem
distantia quaelibet esse debet; radii AC in A8. 159, e 160. vel = DP