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{_cc_/3}, ac ordinetur PV ad curvam AMH, erit PV maxima;
item ſi
AQ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}, & ordinetur QX ad curvam ANH
erit QX maxima.
AQ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}, & ordinetur QX ad curvam ANH
erit QX maxima.
3.
Hinc, ſi in ſecundo harum gradu ſit _n_&
gt;
√ _cc_ + {_bb_/4};
in ter-
tio ſi (poſito fore f = {_b_/3} + √{_bb_/9} + {_cc_/3}) ſit _n_3 & gt; _ccf_ + _bff_
- _f_3; in quarto, ſi (poſito fore _g_ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}) ſit _n_4
& gt; _ccgg_ + _bg_3 - _g_4; nulla datur radix; nam his ſupp ſitis,
recta EF curvis non occurret, reſpectivè.
tio ſi (poſito fore f = {_b_/3} + √{_bb_/9} + {_cc_/3}) ſit _n_3 & gt; _ccf_ + _bff_
- _f_3; in quarto, ſi (poſito fore _g_ = {3/8}_b_ + √{9/64}_bb_ + {_cc_/2}) ſit _n_4
& gt; _ccgg_ + _bg_3 - _g_4; nulla datur radix; nam his ſupp ſitis,
recta EF curvis non occurret, reſpectivè.
4.
Si fuerit Aφ = {_b_/4} + √{_bb_/16} + {_cc_/2}, &
ordinetur φ Y;
erit Y
_Nodus_ curvarum; unde ſi _n_ = Aφ; erit Aφ una radicum in omni-
bus.
_Nodus_ curvarum; unde ſi _n_ = Aφ; erit Aφ una radicum in omni-
bus.
5.
Curva CLH, eſt _circumferentia Circuli_, cujus _Centrum_ O;
reliquæ AMH, ANH ſunt _Cycliformes_.
reliquæ AMH, ANH ſunt _Cycliformes_.
6.
Peculiare eſt in ſecundo gradu, quòd ſi n&
lt;
c, detur una tan-
tùm radix.
tùm radix.
7.
In hac radicum maxima (quæ &
minima eſt in nona ſerie) eſt
AH = {_b_/2} + √{_bb_/4} + _cc_.
AH = {_b_/2} + √{_bb_/4} + _cc_.
8.
Curva HL λ eſt _hyperbola æquilatera_, cujus _ſemiaxis_ OH;
re-
liquæ HMμ, HNν ſunt _hyperboliformes_; unde patet in ſerie nona
ſemper unam, & hanc unicam radicem haberi.
liquæ HMμ, HNν ſunt _hyperboliformes_; unde patet in ſerie nona
ſemper unam, & hanc unicam radicem haberi.
Series decima.
11Fig. 216.
_a_ + _b_ - {_cc_/_a_} = _n_.
_aa_ + _ba_ - _cc_ = _nn_.
_a_3 + _baa_ - _cca_ = _n_3.
_a_4 + _ba_3-_ccaa_ = _n_4, &
c.
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