De DISTANTIIS MAXIMIS ETC. 479 



= (2/)a:^;>')i=;,i(2x-H/»)i 

 ac proinde aequalio 



Het 



sicul in Elllpsi atqne Hyperbole. 



Si in hisce duabus Sectionibns ducemus semidiamctrum OM 

 (Tab. XXXI F.8. 9); atque fingemus semidiameirum conjuga- 

 tam OD parallelam langenii MTin punclo M; et si memineri- 

 nius quaralibel semidiametrum ad uormalem duclam per verti- 

 cem conjugati sui atque ad majorem axem lerminatam, eamdeiu 

 habere rationem ac semiaxis major ad minorem ; habebimus 



t.OD 

 ODilMNrial^-, a qua MN= , 



aiqne subslimendo N in aequaiione 



'■ = —'• 

 erit 



_ ^ 



Sed eliam deraonstralur rectangulura faclura supra semidiame- 

 trum ac supra perpendicularem a centro duclam ad tangen- 

 tem ilH semidiametro parallelam , aequare rectangulura semi- 

 axium . Quapropter ducla O G perpendiculari ad lineam M T, 

 oblinebilur 



ah 



OD.OG = ai, 0D = — — : 



U Cj 



ergo 



repraesenlabilur eliam per 



a-b- 



