i(J2 DE LVNVUS OVADRABILIBVS. 



ftimantur in rationc quiiciinque d:ita i :p, cnmt ctiarii 

 fegmcntt intercepta !D , N K , in eadem ratione i -.p. 



Tabuia XI, §.7- Sit curua BM Conchois exterior, in qua 



' ^'S- ' • AB,ED, perpendicularitcr fe interfccantibus , fit EiVt 



mDB, Si iam vocatis, vt antea, AB— ^,BDrr/?, 



AM — t,BC — u, AN~z, fiat ACiVaa-uu] 



a a— b 



ABia) = AD(a-y):AEi-^:^') fit valor ipfiug 



a^^rn 



t — b ~\- j-^tziu^) 1 pofito a — b~m. Ponatur P: 



. -^ j abmdii ^bmdii , ^bmdu , r-o j 



ent P du — ■ — ^ -h ^ , vndey F du 



a~—u^ a-\-u a — u 



:::z^hm log. a-^u~^^bm\o%. a-u., quare Lunula FB 

 MN per Logarithmos erit quadrabilis ; et aequatio po- 



iaris Curuae FN erit g^zr^^ X-u~ " i ^^^ pofita 

 ts; — 2 Z^ , confequenter ;« — Z' , erit aequatio diftae curuae 

 ^^nvj^^u Ynde diida BR pGrpendiciUari ad AB, 



et aequali ipfi A B , crit A R z=: V 2.a a , defcripto prae- 

 terea femi-K:irculo fupcr AR , ct chorda AS fada — ?/, 

 erit S R — V ( 2 <z2 — M^ ). Ergo quaeratur tertia pro- 

 portionalis ad aAC,SR,etAB, transferatur ea in 

 ductam antea pro lubitu AN ex- polo A; erit puni- 

 dlum N ni Cunia qiiaefita BN, quae ablcindet a fpa- 

 tio Conchoidali Lunulam BM N F quadrabiicm per Lo- 

 garithmos. Si ponatur zi-iio, erit ab ii:iitio Ciiruac 

 ;2;:=-^, et ? — ^, quarc ;3:? — V2 : 2" AF; AB ; fi 

 vero « jiz ^ , erit js— 00, /" oo-^\a\ quarc Lunula 

 haec ex vtniqua partc erit apcrta , adeoquc Liinula tau- 

 tuxn. improprie fic dida. 



§. 3, 



