FLVIDORV M. 255 



maximi minimique caloris in diiimctro horizontali 

 fibi oppofitos aflfnmimus maxime cflc cfficiiccm , 

 lcntiorcmque motum cfle futurum , fi hacc oppo- 

 fitio in diamctro obliquo ficret quod oftcndifle ope- 

 rae crit praetium. 



31. Ponamus ergo maximnm calorem in A 

 minimum in B, vt diamctcr AB ad horizontalem 

 HK inclinatus fit angulo HOA — ^, fit vt ante 

 anguhis AOSzizCp , radius AOna, hinc arcus 

 AS — szza(P et denfitas in S nempe ^i: i -acof Cp; 

 atque omnia fe habcbunt vt nnte nifi quod altitudo 

 S2 fit hic z — a{\n.[(\) — ^) , vndc oh d z ~ 

 fl</Cpcof.(Cl) — ^) crit 



/r/ dz - afd(^ [cof. (Cp - ^) - ^ a cof. <^ - ■ a cof ( 2 Cp - ^)) 



feu fqdz — a(n-\.{<^-^)-\ciLa(^coL^-\aLa{in.{^(^ - ^) 



ita vt iam habcamus : 



zgp-A ; f-2grt(fin.(Cl)-^)-JaCt)cof <^-^afi'n.(2Cl)-^)j 



un _ a^<iu 



I — a co/. CJ) at 



quae cum eadem efle debeat fiue ponatur Cp — o 

 fiue (^—z-K oportet efle : 27^ agccof.*^— ^-^^^y-^cro 

 ideoque ?/ =:i ag f cof <^ , vnde difcimus motum etiam 

 fore vniformitcr acceleratum , fed minus quam ante 

 in ratione cofinus anguli AOH, ita vt fi hic an- 

 guhis fuerit re<flus , motus plane nulhis fit oriturus. 

 Euenit ergo hoc fi maximus ralor in tubi loco 

 fiue fummo fiue imo excitetur , minimusque e re- 



gionc 



