300 DE APTISSIMA FIGVKA 



tum demilTo ex M ad AB perpendiculo MV erit 



AV=r.¥cof.(I)-/rm^ ; M VmATin.Cp-hjcoC^I) 

 BVzr;cof.v[^+«fin.(I)i MV— ; Ga.v^ -acofvl/ 

 •vnde obtiaemus : 



fcof.\}/-l-arin.\|/ =:!<?— A'cof.Cp-f-jfm.<|) 

 /iia. >4/ — acof.vjf/ zrz A:fin.(J)-f-jcof.<:|> 

 cx. quibus aequationibus elicimus : 



/ ~ ^ cof. v|y - X cof ((!>+ vI/)4-j^fin. ((J3 -h v{/) 

 x/ — ^ fm. v|/ — .T fin. ((I) + v{/) -^cof ((p -4- vt^) 

 Deiiide ob commuiiem tangentem erit 

 PR-^=^ et Q^Sr^z-^^-^iadequctang.AKMr-^ 

 ct tang. BSM z= ^" 



At cum fit ATM = ARM - (p = BSM -f- ^y erit 

 tauig. CARM - BSM) =:: tang. ((p -f- v{/) ideoqtic 

 tang. ((p -V v^) :=.(- ?. + sf) : (^ "i-fi. If} 

 Denique ne vllus fiat attritus, neccflc cft vt fit arcmrm 

 fomma EM + FM-conlt. ie\i V {dx^-Vdy')^V {dt'+dup>, 

 ixkoque dx* -i- </j^ = dt- -f- dur. Hanc ob rem ha- 

 bebimus fm.((I)4-v^)-'-^4f^ et cof. ((p -t- v^) 



. — dx dl — d^ ft w 



— - dx^-i-d^* 



At vero eft 



<f/ — - fftf i (l5 fm. vP -f (« -f- i) A- //0 fin. ((p -h %!/) 



4-(«+ » ) / </(p cof (4) i-v|/- </x eof ((p+vl/)+'(/ fin A(p-i-v^) 



^- 7W^(pcof. v|/-(«-f-i ) .vi (P cof ((p-b vl/)-f («4-1 )j^^ 4^ fin. 



(0-t-^i^) -^A'f:a.((|>i-^^) -4/cof.((|)-i-xi/) 



Ergo 



