I IM : M m z= M F : T F 



in ratione data. Porro ob 



ang. F M N — M P w/ + F ;« R et 



ang. F N P ::z: ang. N ;; S - ang. M P ;« — F ;; R - M P /// , 



fiet 



FMN-FNP=2MP?;;, 



ideoque dabitiir anguliis 



MF7«=:;(FMN-FNP}, 



practerea qnum detur angulus PM;;;, triangulum VMm 

 ciit fpecie datum, iiincque ratio PM:M/;; erir data, tum 

 vero ob datam rationem 1M:M;«; dabitur ratio 

 P M : I M in triangulo ad I redangulo , liincque dabitur 

 angulus P M I et reda IM erit pofitione data, n,ec noii 

 AFB, quae priori eft parallela. 



§. 35. Conflrud^io autem Problematis hinc dedii- 

 cenda, ita commodinime abfoluitur: vt fumta pro lubitii 

 linea PM fuper ea dcfcribatur femicirculus , tumque in 

 illo aptetur linea M I, quae ad PM datam liabeat ratio- 

 rjem , hoc efl: vt fit 



IIVT-PM — — — /iff-MP m 



* " J.VI. tin' p M. -^ e fm. P m M. 



— ^"-U^M N-FNM) _ cof. MLJF^ 

 ^ Fcof. MFL ~^cof mTl' 



deinde vcro ducatur linea AFB ipfi MI parallela , erit- 

 t]ue axis principalis fedionis conicae (vti ex praccedentibus 

 conflat) fitus fuper hac linea A F B. Vel etiam conflru- 

 (flio Problcmatis fequcntem in modum adornari potefl: 



Ob fin. M P F = '^ =:: ^ 



)n. M P m 



PM — ejjn.? mH. 



2 z 3 dabi- 



