ncm AnalyticTiT; cx ca dcriuandam vix facilii^s adornari 

 Tab. XI. pnf!c, ac §. 15 pracnitinuis Id cnim hic agitnr, vr da- 

 F'g- 5- tis pro qnadrilatcro F M / N, fingulis lateribus , F M, ]\lf, 

 FN, N^, cum •.'.ngulo M FN, quacratur angulus qucin al- 

 terutrum latcrum MF, NF cum diagonaii F f conllituit ; 

 cnius Problcmatis foluiio cxpeditioiem folutionem admit- 

 tcrc non videtur, ac illa quac §. 15 ailata cft. Immo 

 quia in hoc cafu fpeci^Ii Frobicmatis propnfiti, fumma iatc- 

 rum F M 4- M/— F N -f N /", folutio Problcmatis co ipfo 

 aliquanto fit concinnior, quam fi uuIIa huiusmodi latcrum 

 relatio fupponcrctur. 



§. 40. Problcmatis fcxti quum quatuor omnino 

 babcanrur (olutioncs , confli u(flioncin Gcomctricam pcr rc- 

 clam ct circuhim non admittit, vcrum dcllriptiones Ti^ca- 

 rum ("ccundi gcncris llu icdionum conicarum rcquirit; ct 

 quidcm mox liquct, fi focis M, N ct axi principali 

 — F N — F .M dcfcribatur hypcrbola, tumquc ccntro F ra- 

 dio F/, circulus, intcrfcclioncs huius circuli cum illa 

 hypcibula, pracbcrc punda in quibus altcrum focum fc- 

 (Ttionis qn.icfltac flatucrc oportct. Ilinc fl cucniat, vt il^c 

 circulus hypcrbolam in quatuor puncltis intcrfccct, Proble- 

 matis quaiuor omnino crunt fohuioncs; at fi binac tan- 

 tum dcntur intcrlccf^iones folutionum rcalium numcrus bi- 

 narium non cxccdct, rcliqnis duobus in imaginarias ab- 

 cuntibus. 



§. 41. Antcquam huic disquifitioni fincm impo- 

 namus monuiflc nonnulla attinct dc (olutionc Problema- 

 tis 11', calu quo txccntricit.^s fupponatur "" i , id cll li 

 lcdio conica fucrit Parabola. Tum vcro fict 



c{i + 



