335142
{_cc_/_a_} - _b_ - _a_ = _n_.
_cc_ - _ba_ - _aa_ = _nn_.
_cca_ - _baa_ - _a_3 = _n_3.
_ccaa_ - _ba_3 - _a_4 = _n_4, &
c.
In recta BAH ſumatur BA = _b_;
&
in AD ad AH perpendi-
11Fig. 216. culari ſit AC = _c_; ſintque anguli HAR, HBS ſemirecti; tum
utcunque ductâ GK ξ ad AH perpendiculari (quæ ipſam BS
ſecet in ξ; ſit AG. AC: : AC. ξK; & per K intra _aſymptotos_
VD, VS deſcribatur _hyperbola_ KYHK; ſint demum curvæ CLHLλ,
AMHMμ, ANHNν tales, ut inter AG (vel GZ) & GK ſint _me_-
_dia_ GL, _bimedia_ GM, _trimedia_ GN; hæ propoſito ſervient. id
quod conſtat, ut in præcedentibus.
11Fig. 216. culari ſit AC = _c_; ſintque anguli HAR, HBS ſemirecti; tum
utcunque ductâ GK ξ ad AH perpendiculari (quæ ipſam BS
ſecet in ξ; ſit AG. AC: : AC. ξK; & per K intra _aſymptotos_
VD, VS deſcribatur _hyperbola_ KYHK; ſint demum curvæ CLHLλ,
AMHMμ, ANHNν tales, ut inter AG (vel GZ) & GK ſint _me_-
_dia_ GL, _bimedia_ GM, _trimedia_ GN; hæ propoſito ſervient. id
quod conſtat, ut in præcedentibus.
Not.
2.
Curva HL λ eſt _hyperbola æquilatera_, &
curva CLH _circula_-
_ris circumferentiæ_ pars; utriuſque commune centrum eſt O, ipſam AB
biſecans (unde AH = √{_bb_/4} + _cc_: - {_b_/2})
_ris circumferentiæ_ pars; utriuſque commune centrum eſt O, ipſam AB
biſecans (unde AH = √{_bb_/4} + _cc_: - {_b_/2})
3.
In decima ſerie radix una ſemper habetur, &
unica;
in undeci-
ma nunc duæ, nunc una, ſubinde nulla.
ma nunc duæ, nunc una, ſubinde nulla.