20+ DE RFR0LVTI0NE 



• Additis nunc quacfratis aequationum (A), (B) ac 

 (C), (D) tumque (Ej, (F) et fa&a debita redu&ione 

 has tres adipifcemur aequationes pro refolutione 

 Hexagoni : 



I. ffzzaa + bb + cc+dd+ee 



+ 2abco\.$+2.ac<Lo{\{$+y)+iad<:c>L($+y\($)+iaeco{.($\y+<$\£) 

 + 2bcco(.y+2bdco£(y+$ j+ibecot (y+$+s)+2cdcoC<§ + 2.cecoi '^ 4 " £ ) 



+ ^decoi e 



II, ff-\-ee + 2efco[.t i -r.aa-\-bb-\-cc-\-dd 



+2^cof(3+2^cof((3+Y) + 2flicof.((3+Y+ ( 5) 

 +-2kcof.Y+2Wco(.(Y+^)+ 2 ^col.^ , 



\\\. ff -+ e e -+- d d ~ a a -+bb -+ c c 



+ 2^cof.£+-2/</cof.(£+e)+-2^/cof.e +2tf£co(.(3 f 2^cof.({3+Y)+2kcof Y* 

 Quibus infuper adiungantur hae tres fequentes : 



IV. a fin. a-\- b fin. (a -+■ (3) 4- f fin. (ct4- (34- Y/-+- ^ 1 "- (* 4- f3 4- y ■+- ^) 



4-^fin.(ct4-(3-f- y+-(J 4-ej— o, 



V. afin.ot+^fiD.(ct+(3)+ffia.(oi4|3+Y)+^fin.(A+(3+Y+<5 k )-^fin.^=o, 



VI. * fm.ct+£fin.(ct+(3;+<; &n.(a+fi\-y)-d(it}.(*+%)-e fm.£— o. 



Et his quidem feX aequationibus , quaeftiones de re- 

 folutione Hexagoni , quae noftri nunc funt inftituti 

 perfe&e refolui poffunt. 



13. Haec exempla abunde quidem fufTiciunt, 

 ad oilendendum, qua tatione pro Polygono quotcun- 

 que fuerit hterum , aequationes eidem reioluendo 

 inferuientes inueftigandae funt et ex fola quidem in- 

 fpedione exemplornm modo allatorum , facile diiu- 

 dicari poterit , quaenam fit forma harum aequatio- 

 num pro quibusuis Polygonis. Sic pro Heptagono , 

 cuius angulos externos ponamus efle, a, (3, y,$...y 



et 



