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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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PROPORPTONALITAFES
ratio BFF lic adrationem ETB, ve B est ad N, et ac B R ad rationem FIL, vE B eA
ad P; cxirracio B Hl ad ractenem HIB, ln ad rationem HL. Ouod erae
934
demonstrandut.
PROPOSITIO CXZXII.
Aex Cnebinae Peries continue proporeionalium ab Mo cermino A
incipientium, de x quali constantium numero cerme
Deorationem FL, esse ad rarionem BG, vE F. elt ad K, _ rarion
um.
s
L. D CAC ad Laltohem BC, VE D ett ad l. LCHCdCINCCPS.
Demonstratio.
DFF 27. libri noctri progrel.
Gonum, cacio FL, est quin-
cuplicata rationis BO. Con
cinvetur aucem racio BC Per
sex terminos, B, GI, NI, N, O, L
crirqueracio BP etiam quill
cuplicata racionis BC, ac po
inde eadem cum rarione LL.
d2. en
27. bnins. sedracio B P est ad racionem BC, vea C CA adP. ErgO ratio F L eRt ad rarionem
BC, ve Ci est ad P. Jam vero quia rario G P est quadruplicata racionis B G: rarIO
quoque F ad K, ciuldem racionis bP er quadcuplicara est; erso ve F. est ad R, (1C
C est ad P, hoc est, veiam octensum est, rario F L ad rationem B C. pari argumen-
eo demonstrabirur racio PR esse ad talon  a eom
pacec erso propolicum.
ROPOSTTIO CZXXIII
Aca sine binae series concinue propotet Matu qux primum cermi-
num communem habeane A.
Dicoracionem DB elle ad racionem lC, veenaL etactoe
E B elleadrarionem L C, ve D est ad l, de lic in intinicum.
d oetoto e 
l 132. bum
C39. huiter. D RHO DB CH AAFALIOHEMI LG. M TacIO DL ad racionem B Ci. CC d rarioD,
est ad racionem BG ve d C ad FT. Ergo racio D B est ad rarionem IG, VE C
est 2d R. Pariarsumento oltehcun acoen L.D ec acactonem A, i DCA
ad T. Fcheminhinicum.
PROPOSITIO CXZZIV.
e dux rationes similes AB, C D. pONAnEUFAUREM GUAEHOFA, E, P, 6,
nales C LL LM, Culmeuque Caiidem racionis; sinc aurem inter B e 6,
duxemedix HI e l: pari pacto sine incer D et M, medix W e O.
continuare eandem rarionem. Deinde linc eriam concinue proxorrio-
Dieo