MAXIMA ET MINIMA. U3 



et rectangulum MNI 



Gin A — Afj. 



Oportet igitur proportionem 



B'inZ — /y in .'1 -t- Zin A — Aq. ad G in .1 — Acj. 



esse minimam omnium quse fieri possuiit qualibet alia divisione 

 linea» MI. 



Sumamus itcrum, loco A, A -h E, et habcbimus proportionem 



Ji\n Z — TimA — B m E + Z m A -\- Z \n E — Atj. — Eq. — A in fi'bis 

 ad G \n A + G \n E — Aq. — Eq. — A in E bis, 



quam primœ comparare per adaîqualitatem oportebit, id est : multipli- 

 care prinium terminiim per quartum ex iina parte, et secunduni per 

 tertium ex alia, et simul haec duo producta comparare. 

 Productum 



BinZ — i? in .1 + Zin .1 — Aq., qui prior est terminus, 

 per 



G in .1 -i- Gin E — Aq. — Eq. — A in E bis, qui est ullimus terminus, 



facil 



/>' in Zin G in A — G in B in Aq. -+- G in Zin Aq. — G in Ac. 

 -+- B in Z in G in E — B in -1 in G in Zï" + Zin A in G in £" — Aq. in G in /•-' 



— B in Zin.-i'/.4- B in Ac. — ZinAc. -h Aqq. 



— B in Zin Eq. + B in .1 in Eq. — Zin A in Eq. -h Aq. in Eq. 



— B in Zin 1 in £'bis -(- B in Aq. in E bis — Zin Aq.inEhis -+- Ac. in A'bis. 



Productum auteni 



Gin.-Jl — Aq., secundi lermini, 

 per 



BinZ— B in A— BinE + Zin A-\-Z in E—Aq. — Eq. - A inZfbis, 



lerlium lerminum, 



