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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 48, page id 1066518432:0076
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48 DE V LREBUIS EF MOTFBUS CORPORUM. L. 1B. I.
C OR O L L A R I u M II.
109. FIinc AF est ad DB, sicuE sinus anguli ABC ad sinum an
suli DBC. Nam in triangulo DBN, sinus angulorum NDB, DNB
lateribus oppolitis NVB, DB Tunc proportionales, ex anouli illi pro
pter Parallelas DN et CB angulis DBC, ABC aequantur. PFO
pterea praecedens, e hoc alterum corollarium, hanc Facillimam peo-
blematis suxpeditane constructionem. Producta tangente AB in
NV, ut ejus continuatio BNV sic ad alteram tansentem totam DB,
licut tenacitas currae in A, guae exponitur per rectam AF, ad tena-
citatem ejusdem in D, quam exponit DB, recta BC per punctum
concursus B tangentium AB, DB transiens e parallela lincae DH,
jungenti puncta D ec N, erir media directio quaesica.
C OR OL L A R F U M TTL
TTO. SFLLHACHCALCS HH in A et D aequales lint, media directie
BC angusum tangentium ABD bifariam diridic. Nam quia AF
aequalis DB hOC CaTU, _E AF ad DB, ut sinuS ansuli DBC ad sI.
num anguli ABC per peaecedens Corollarium, crit omnino angu
tus ABC aequalis angulo DBC.
S C H O L Y O H.
TTF. CorOMa cestium nos manuducit ad novum illud cur.
rarum genus, quod apud Ccl. Tac. Bernoulli in AC. L ipL. 1695.
F18. 3T. P29. 548. Finearum mediarum directionum nomine venit. Nam (IA
lum aliudre corpus Aexile a pocentiis ac, Re _c. in lingulis pun-
ctis ipsi perpendiculariter applicatis in lineam RR A aECUAtUE, rC-
cta BD angulum ABP. a tansentibus currae in utroque sui termino
Formatum bitariam diridens (5. TT0.) eA media directio omnium
Potentiarum ae erc. toti curra FR A applicatarum, ex ducta tan
sente ab per punctum aliud currae a, recta bD, angulum abF. bita-
riam dividens, est media directio potentiarum arcui FRa applica-
tarum. Jam omnes medix directiones BD, bD etc. contingent ali-
quam curram CVD, quae ideo Linea mediarum directionum roca
TUF.
PR