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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
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PROPOSITIO XCIII.
PR ODORTIONALLTATES
ENEE FaTIONES qUOECUnque AB, CD, F F, CH.
Dicoproporeionem racidns pra AB ad vlcimam C Il CoML
olcame pooo allonum mediarum.
∞dCX X
Semonsatio
lacve D ad C, sic B
ad R, _ VE L ad F, GC
B aet L: revero Had6.
C D act LH. PeL 13. AuUS,
racio CD est ad racionem
A B, VEK ad A; _ PCr CAn-
dem racio AB elt 2d r2-
cionem L. L. HHL al L. CI
veR ad L. Cumisicue etian Bc rario
rationes AB, CL L. L GuaaIBUS A.
13. Bains. eAa cum rarione A ad M. ergo _ proporeio rationis AB ad racionem CFI est com-
Polica exracionibus racionum mediarum AB, C B, LL, GFI. Ouod erac demon.
Atrandum.
AB adr
C. D, VE A adR
babimus rarionem F. F cAlcadrationem CL ML etadM; adcogueomnesta-
ciones dacas AB, CD, P F, CII esse proportionales quallicaribus A, K, L, M. Dua-
re cum racio A ad M. compolica lic ex racionibus LIICBLM. eric quoqueracio
K. L. Proportionales, ex ratio P F ad racione AB, VE L. ad A: eodem discurluPrO.
A ad M, compolica ex proporrionibus racionum AB, C Ds F F, G FI. sed, quoniam
ex construct. Ve FY ad C, sic B est ac , Proporcio racionis A B ad C II, cadem
PROPOSITIO XCV
acae ne lactotes
quoteanq3 AB, C..
Dico ex illis quomodocunqu ps calie eb et plocuer u.
ne componirationem.
Demonstratio.
oncinuencur primo in li-
coordine quo dantu, ve
racio prima TR SIC CaCCM PH-
MX AB, & sccunda RL, (c.
cundae CD, a HC deinccps. F-
ric ergoracio TadN, producta
sive compolica ex racionibus
AB, C D, F F, G FT Codulpotiris
ordine quo daneur.
Continueneur deinde racio-
nes datx in lineisO, P, O, R, S.
Sed ordine percurbato, veracio
quidem OP sicaequalis racio
ni CD, &e rario PO rarioni
AB, _ racio OR racioni CH
racio
SB,K, L, ML IratiOnC.