18^ - 



unde fit 



ficque reperitur circiter x= I5 9150094. Tunc enim eft 



^ — 4<?> o(?4oa8; proinde / 1— rr 3^, 83001 84; at 



a — X I — I X 



2X= 3,8300188. Pro hoc itaque valore ipfius x eft 



D E M zz: A C D, ideoque 



A C P M z= C P M = ^ -= 3, 3 19803 ; 



ob j zLi 3i. 4*^714; atque angulus ACD, cuius tangens 

 ~ -^ reperitur — 28°. 54^. 48''^. 



J. 1 7. Cum radius ve£lor C M curvae bis occurrat 

 in D et M, crefcente angulo ACD, linea CM tandem 

 iieri debet ciHvae tangens, atque pun£lum contaclus N iic 

 invenitur. Si tangens tNT axi occurrat in punQo T, erit 





9 



qnae expreflio evanefcit, quando xe^* — x — e^*— i =0^ 

 h. e. e^''~^^^y five 2x=:Z^^, vnde effe oportet x>>i. 

 Sine gravi errore fumi poteft xzzii, 2; vnde fit ^-±^= 11, 

 et f II ir 2,3979; qui valor haud multum deficit a 2X = 2,4. 

 Pofito itaque CQ.= i, 2; tangens tNT per centrura G 

 tranlit. Qtiare cum fit e^' ^ zz: 3, 3201154' et 



e"~ ^' ^ zz: o, 3 o 1 1943 ; erit 



e^' - -4- e ^' - 



y~ — i^ 810(^548, 



2 



et X =: 1 , 2 ; unde ob tang. A C D nz ^ , fiet angulii& 



ACDrr 33^.^2''. 3'". "" 



f. 18. 



