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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 38, page id 1047377675:0054
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.89
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L. BK mixtilineum IDDCFCI_ cidem circumscribacurmix.
cilineum LAC FOTIK ve eorum differentia sic minor quam si
13 hu Ancque punctis B, C, C. K, evolueae puncta relaciua P, V, 27
IuS.
q. ee compleancur rectansula OV, 0E, 52,53, 473 46. recta
L.C eA aequalis rectx S V ec curua AC es maior rect a JV, &t
Ideo Tector circularis L. AC maior est dimidio rectanguli OV.
eodem modo probatur sectore circularem LGF maiore cf
Ce dimidio rectanguli 52 ec sectorem circularem L FIK maio-
13hy rem esse dimidio rectanguli 47, ec id eo mixrilineum L ACL
ius. GTIK maius esse dimidio OOVX2278, e proinde mulco ma-
ius quam dimidium eroluea OP 7 8 nempea. deinde recta
OPekxequalis rectae LB e curra BD minorrecta PT, de ideo
sector circularis L. BD minor est dimidiorect anguli OF, con
demquemodo demonstracur sectorem L. C F minorem esse
dimidio rectanguliS3 e lectorem L. C I minorem esse dimi-
dio rectanguli 46, _ id eo mixcilineum L. BIDC FCt minus elt
dimidio rectilinei ODTV 3268, e proinde muleo minus
quam dimidium eroluexe nempe a: eridensigitur est quaruoi
essequoncicares, nempe prima mixcilineum L. BDCF. C, l
secundas inrolura LBR, certia a, quarta mixrilineum L AC F
CHR, quarum maxima ec minima Cunc mixcilinea L. AC F (
HIKSLBD C FCI, horum erso difterenciamaior crie quam
difterentia duarum reliquarum nempe a de involura L. B R3
quod ectabsurdum, ponieur enim minor, nulla ergo est dit-
ferencia incera e involuram LBK, sune erso ae quales, quod
demonltrare oportuic.
P R O P. 17. Z HI EO R F M A.
Tetigura involura ABC; producatur recta A C et in eam
sic perpendicularis recta BI, quae FOTa CadAE CXETA CUF=
ram BC: dico rectam BR non ese minorem quam exis
sigurae ABC erolucX: SIE Si heri porest minor prae d: C0 2XC3
sirque axis Aigurae A BC. crolurae minor quam excesuS AXIS
ABUra