INTER SE COMPARANDIS. 41 



Pofitis enim femiaxibus. AB^a et Aa~b', 

 pro pundis quaefitis f tt g erunt abfcilfae i 



A c « n/ 5"-4 - ■;& — V fgqfl' -f T4 a & -4- p& &) 

 A r — ^y j (a-i-6) 



ALr — ^y - 2(a-+-6) 



vnde pro lisdem pundis eliciuntur appUcatae; 



r> y- 5 -/ s 'aH-5&-f- V .(ggQ4- '4-a5-f-g 66) 



V J — ^V ' 2(aH-6) 



n - ;i V t g-f- s o;;^ y 1p" a j-_M_q6 -f- ^5 6) 



*^^ —«»'""*■ 4 (a -♦- 6) 



Problema 5. 



Datum ellipfeos arcum pr in duas. pirtes fecare Tab. T. 

 p^ et ^r, ita vt difFercntia harum pariium p q — qr ^'8* '^' 

 fit geometrice affignabilis, 



Solutio. 



I^ofitis, vt in prob!en)cite pniecedente, AP~p, 

 AQ_~^ , et ARzzr; exiflentibus lemiaxibus ABh^ 

 et Aa — ay {i-m)\ quaeratur a vertice a arcus ak ■, 

 vt pofita eius abfcifla AK — ife, fit 



7 qV — pQ. ^Hqq-^ pp) 



'^ a* - mppqq ■ ^ P -f- f Q_ 



entque Arc. ^£~ Arc. /)^zz-7,„- 

 Xum vero fit etiam 



l L9,rz3J^ — a*(rr — r^TJ 



"^ a*-mqqrr r Q.-H q R 



crit quoque Arc.f7fc-Arc qr-zz—^^ ideoque 

 Arcpq-AK.qr-^^^ir-p) 



Tom.VII.Nou.Com. F Cum 



