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# Title: [Vera Circuli Et Hyperbolae Quadratura] Vera Circvli Et Hyperbolæ Quadratura (shelfmark Leibn. Marg. 98)
# Folio 32, page id 834940469:0040
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.85
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fOr es qua L, _ deo AB seu CC maIOE CR quam AF, _ 191-
ERE AFH
2C. C ve RK Lde2C led Ae Limimor ele quam 2C; &
Ideo AC E F C MInOFCK qUAM ZC C; proinde AC i+ F C
e AF C C minor est quam 4C C; de isitur C A mi-
nor e_ qua druplo iptus L C, quod deM OnAtrArE OPOF
cuit.
C
PROP; XVI. TITEOREMA =
Inc duo polreona complicata A, B.
nempe A. exera hyperbolae secto-
rem ee B incra: Corinuerur series con
vergenshorum polrgonorum compli-
catorum lecundum nostram mechodu
Tubduplam deseriprorum, icave polrgona exrra hyperbos
dem (nE A. C. F, ecc. Se incra hyperbolem B, D, F_cc; Dico
AF.maiorem esse quam 2C. Cx praedictis manifesae sune
lequentes duae Analosiae, prima quoniam A, C, B. lunc con
rinue proporcionales; ex secunda, quonium C, D, B. Cunrhar-
monice proporrionales. s de
proinde excessus A suPrAC, A - C: C - B:: A: C
hoc est A - C, eAt ad excessit C- B: C- D:: A  C: A
C lupra D seu C-. D, Inra-
eione compotica ex proporrione Aad C dt ex provortione
A H C ad Rhocestinracione A H C ad C, 25 A.  C est
maior quam. C. de ideo excessus A lupra C CA maior excenu
Clupra D, est aurem P. maior quam D; e proinde excessus
A lupra C mulco maior est excessu C TupeaF; manifertum
extigitur A e E maiorem esse quam 2C, quod demonstra-
EC oporuIE.
ERO