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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio - , page id 834940469:0080
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culi, seu trapezii inscripei (sunt enim inter se aequalia) ad
triangulum circum scripeum rationem in rectis exhibere, 
ab illis rectis seriem debitam conversentem continuare, donec
coneniens fuerit approximationem adhibere. Omnia quae de
siderari posunt de locorithmis ex rationum compositione ope
sequentis curuae nullo nesotio inveniri possunt.
Sit linea recta DF, sitque alia recta illi normaliter insi-
stens AB, in qua sit punctum mobile C, quod punctum C mo-
veatur ea ratione, t, dum perpendicularis movetur versus
E Vel D normaliter semper insistens rectae F D, interceptae
inter punctum C e rect a D F sint ad ipsam C B in rationi-
bus inter se mulciplicatis in ratione motus rect ae perpendicula-
ris AB: e. 5. moveatur AB in R ML e L P; oportet ut pun-
0)
etum C moneatur ea lese, 2e ratio CP ad CB sit multiplica-
tarationis C M ad C B in ratione PB ad Mt B: eodem modo
ad partes D, supposito AB moveri in TC e FO, rt pun-
ctum C ea lese moneatur, ut ratio CO ad CB sit mulciplicata
rationis CC ad C B in ratione OB ad C B: atque e recta DF
e duobus punctis curuae quaesitae a motu puncti C descriptae
ad libitum daris, facile est curuam ip sam punctarim de scribe-
re, c. 8. Supposico curuam in rectis AB, X M, transire per
punctum C, oporcet alia huius curuae puncta invenire: divi
datur BAI bifariam FI. sicque perpendicularis TI C media
proportionalis inter BC, M C; dico C esse 2num ex punctis
quaesicis, est enim ratio C M ad C B duplicata rationis C II
ad C B, ex recta M B est dupla rectae BFI, est igitur C in
curua quaesica. Demde sit recta SMaequalis rectae MB, )
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