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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 935, page id 1815201908:0992
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6,
oa
GEOM E TRICA
Dico F ad I, CaLT_CMIL
AI, candetm quamm HabCE L ad IV.
Demonpratio.
Voniam POnUnEuE APFC, 8
B HIIO, concinuare candem ratio
 s Faltons Ctus quant habecF
nem in sua serie, igitur racio AB, cri
2dI, e Pari pactorario CD, 2 criplica-
ta est racionis L ad O. sed ratio AB, ca
re racionem quam labet L. at  L. A
dem est cum rarione CD, exhypocheli, isicur ociamracio AB, criplicaca est racio-
Mio L.. scacee de li Laclocaclelaca caca lactra i de. Mlatele cccalta
ostendam rariones F. IL e RN elle calce.
ROPOSILAOCAALV.
Aex sinerres series conrinuè proportionalium, qua communeha-
beaneprincipium A.
eoto, C.M lincilconcinua, ccam C, fl, L, d D, l. . de Lle a
liC dcincepS eACIA COMTINUA.
Demonstratio.
2 Acio CH es duplicaca b rationis BC, hoc es ex hypothes rationis GM. ACi ∞ ibil
Facionis B Cn hoc est exhs pochel lalsons CMt: Led cudem Tactons CM Cclali
triplicaca estracio IO. Ergo raciones DI ex IO sunc cxdem. ereo. D, L,O suntin
concinuaaaae a 2t23 a23 u t
Sc in continua. Liquec erso propolicum.
quicriam racio EIN est duplicata rarionis OM, raciones igitur CFI, _ TIH
sunt caedem, adeoque C. FI, NY sunc in concinua. Similicer racio DI est criplicata
L2tOAEtIO CXXXVI.
acermino A principium ducere; lic aucetm racio BMM criplicara racio
152C.
TTacuancur rurlunt  c pibportionalium ab eodem
Detalibito tetera dlet
Dicoetiamrationem C N For picatat Lactoms CtL,  Latt MH
Demon-
 e re pto pui e u. us sett pte ie ta  pi. tes ee pitite te  e et ut plte e uta p e  e e  i e u   pe  e e etit  e i     e    e a e p e e   es