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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 261, page id 1066518432:0289
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DE VFRTDUS ET MOTTBUS CORPORUM. L, 1B. II. 265
fogarithmicam, cujus subtangens est unitas. Et denique omnia dy:
aa +YY aequantur arcui circulari a applicato ad aa quadratum radii,
cujus arcus tangens sIcy; nam ejusmodi arcus elementum seu do=
aadr: a = YY. PEOPEEFCA IRVeNICEUF AECA ADL K (2 A2d2L, 2K) = er;
+ 2be2: A; + effo: aa; ad coque addendo ADLR + 2 A2d2L, 2H; = 2C);
+2effa: aa (vel loco ff resticuendo cuum ralorem bb - aa) = 2ey;
+2bbe0: ac; - 2e0 = 208; + 2bbeo: aa; polita ad abbreriandum e = y - .
Arearum ACTHI (242~2I2II) elementum est = edae; + 2b eydo: aa +
gy; effdX: aa + y7 = e)dy: a; + 2b eY dy: a + ayy; + effrdy: a + ayy; quia
ydy =adX. AEqui rydy: aa + yy = dy, - aady: aa + γ7) = dy - du, ec ut
aAFCa, 1d): aa + y) = aZ: a, aC DFOPTCECa,
ACTEI (2A202(2FI) = epr: 24; + (2b0y - 2be0): a; + effz: aa; 2dc0-
que AaTFL - 2A242I2FI = (4bey = 4bew): a = 4bes: a, Polita Scilicet
y - 0 = 8.
Ducantur per Arectae AT parallela BB, ec AS aequidictans Co, erit. FIB. LLg2
que AWV: WVS = CE: E6 = AdLR F 2A282L. 2K: A∞TTT = 2A202T2TI
=(205; + 2bbev: a4): (Abes: a) = aaB + bbv: 2abe; _ IW: AW = a:
b = 2ab8: 2bb5; erso ex aequo Aet TW: WS = aaS + bb0: 2665.
Dicantur inluper IW, D _ SW, 1; radiusque AW, r; critque
0: T = aaC + bb0: 2bb8, ec quia r: D = b: a, substitutis locob et a pFo-
Portionalibusr et D, proveniet D: t = 1b8 + rrO: 2YrS; ex qua eli-
CICtur 10 = 27d= rro; adeoque ip(x aequationis radices crunt
124
 + l
rro
. Jam quia lingulae r, 53 a e t datae sune, etiam
D data erit, quae et tangens anguli TAW, quem directio figura
BA2B in Auido incedentis cum aZC AFI Continet, cum Agura ici-
nerepermanente Fertur absque convertionibus circa sciplam; qui an-
sulus TAW angulus acclinationis figurx audit, ejusque tangens,
IW declinatio ipla; linea vero oC est directio, juxta quam figura
in Duido ideo impelli debet, ut in directione ipsis BB, AT, _C.
Parallela itinere leu ria manenti ca in Auidoferri queat; qua omnia
luo loco uberius explicabuntur.
Exterum exempla eorum casuum, in gnibus currae, Faperior
AB e inferior 2A2B, Cunt Similes e aequales, adeo. UIE BX CUr-
vae Auidi imprestionibus expositae communem abscisam AFI, ordi-
natasque aequales BFT et 2B2TI habeant. Scd ca, ratione calculi,
intricatiora eradtune, si CUrVR AB X A2B, ut A9. TT5. inxquales
 tamen similes. (Cu LOtX ACE, A2BP. aequales lunt, tunc enim
CK 3
BUIM=