330137
in quarto _a_ + {_cc_/4_a_}&
gt;_
n_;
quæ tamen inæqualitas eo minor eſt, quò
AE (vel _n_) major exiſtit.
AE (vel _n_) major exiſtit.
_a_ + {_cc_/_a_} = _n_.
_a_ + {_cc_/_a_} = {_nn_/_a_}.
_a_ + {_cc_/_a_} = {_n_3/_aa_}.
_a_ + {_cc_/_a_} = {_n_4/_a_3}.
Poſſit hæc ſeries explicari juxta præcedentium modum ſecundum,
11Fig. 212.& eaſdem adhibendo curvas LXL, MXM, NXN; quarum nimi-
rum proprietas eſt, ut rectâ GK ductâ ad AH utcunque perpendicu-
lari, ſit GL = {_nn_/AG}; & GM = {_n_3/AGq}; & GN = {_n_4/AGcub}.
11Fig. 212.& eaſdem adhibendo curvas LXL, MXM, NXN; quarum nimi-
rum proprietas eſt, ut rectâ GK ductâ ad AH utcunque perpendicu-
lari, ſit GL = {_nn_/AG}; & GM = {_n_3/AGq}; & GN = {_n_4/AGcub}.
Nam ſi fiat angulus HAR ſemirectus, &
utcunque ducatur GEO
ad AH perpendicularis; & ſit GE. _c_: :_c_. EO; & per O intra a-
ſymptotos AD, AR deſcribatur _hyperbola_ OO; hujuſce cum expo-
ſitis lineis LXL, MXM, NXN interſectiones, radices _a_ reſpectivas
determinabunt; ductis utique LG, MG, NG ad AH perpendicu-
laribus; erunt interceptæ AG ipſis _a_ æquales reſpectivè.
ad AH perpendicularis; & ſit GE. _c_: :_c_. EO; & per O intra a-
ſymptotos AD, AR deſcribatur _hyperbola_ OO; hujuſce cum expo-
ſitis lineis LXL, MXM, NXN interſectiones, radices _a_ reſpectivas
determinabunt; ductis utique LG, MG, NG ad AH perpendicu-
laribus; erunt interceptæ AG ipſis _a_ æquales reſpectivè.
Poſſint conſimili modo ſubſequentes omnes æquationes explicari;
ſed eas modo duntaxat priore dabimus expoſitas.
ſed eas modo duntaxat priore dabimus expoſitas.
Series quinta.
22Fig. 213.
{_cc_/_a_} - _a_ = _n_.
_cc_ - _aa_ = _nn_.
_cca_ - _a_3 = _n_3.
_ccaa_ - _a_4 = _n_4.
zoom in
zoom out
zoom area
full page
page width
set mark
remove mark
get reference
digilib