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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 381, page id 1066518432:0409
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A P P F N D
2E.
potentiarum CD, CD linex AC axplicatarum, et onus quo hy-
pomochlion in R urgetUE, erit ad omnes potentias lincxe AC rC-
ctas ex obliquis CD, CD deriratas, ut sinus totus ad sinum com-
plementi anguli TRS. Demonstratio hujus Lectoris industrixe re
linquitur brevitatis amore. Hloc tamen minime reticendum cA, in
iisdem directionibus BD, BD potentias, currae cuilibet AB applica-
tas, quae sint ad homologas CD ad lineam AC pertinentes, ut relpe.
ctirae CV ad BV (supponendo directiones BD, BD tangere cur-
ram quandam CV) eandem habere mediam directionem LI cum
Potentiis CD, CD, _c. rectae AC applicatis, ut demonstratu id
Facile cA. Vnde si currx cuicunque AB potentix quaecunque in
directionibus BC, BC, eEc. applicatR CinE, Facili negotio invenie-
tur earum media directio, ducendo per curre verticem A Langen-
tem AC, vel quamlibet aliam rectam, ec disquirendo quaenam po-
tentiae CD in directionibus BC huic rectae AC applicande sInE ad
id, ut hrarum pocentiarum media directio RP etiam praebeat me-
diam directionem potentiarum in directionibus BC, BC, _c. datxe
currae ABB applicatarum; ad id Facienda ubique cAt CD ad ho-
molosam potentiam currae AB applicatam, sICuE BV ad CV.
V. OTum univertalem propositionis XII. Lib. I. In subjunctis ejus
corollariis ex Scholio jam utcunque ostendimus. Ad majorem tamen
propolitionis e applicationis ejusdem illustrationem, pauca hXeC, quX
sequuntur, addidise Forte jurabit. Prxter (rmbola S. TOT. jam expli-
cata, firmitatem cujusque currae elementi Bb vel BB nominabimust,
quae illic insigniebatur litera T; Potentias juxta BII e BC, dgec dp
respectire, tangentem e secantem anguli ErBFI, he R, ac denique ra-
dium osculi seu curritatis in B,r; item per a sinum torum designabi- Fis. 29.
mus. Flisce positis, erit (nM. F. 5. 93.) OFI = dt, e cria elementa dp,
dq.e de at, ipsiS a, e _ B proportionalia crunE, sic etiam AP: PO
r: ds atqui (5. 203.) CstBO (dp): T (1) =PO: AP, CrgO dp: t = d5: r.
item dp: dt = a: B, erso dt: t = Bds: ar, ec l05. T = s (Bds: ar), adlco-
que ex hisce analosiis quatuor habentur
aequationes, quales in hoc adjecto later-
culo nOTanEUT. FIinc ex quantitatibus dp,
dqe at vel + e h datâ qualibet in indeter-
minatis CuFVX X, Y, da, dy, eEc. ec quanti-
catibus constantibus, invenientur reliqua,
linon alocbraice, laltem transcendenter.
F. at = hap: a = Bag: k.
3. 10z. t = (Bd5: ar.
4. B = arat: td5.
Firempl. Sit curra data ABZ hyperbola aequilatera, cujus xqua-
BbD
1i0
2. t= ap. us.