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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1101, page id 1815201908:1158
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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B.
eY ADRAFYRA CIREVLI
peridem C daaum B; lcdeacto BA Per als entum Coa Cactete BC
ad A. Igicur eciam racio A ad B per C addicum B, efticie rarionem A adBC,
quae est apposicaracioni BC ad A.
Tadeerescieracio A ad B, per auemenium C addirum B, heur auxecurratio B A
Pauco aliter.
lnor est quam lc BC magnicudine C. lsirur ecram racio A ad B C, minor cst ra-
eione A ad B, ratione quae caulacur a quantirare C addica magnicudini B.
PFasohaberrario AB ad rarioe  BC, a DC CM Al B. ICABIIII.
PROPOSTTTO IV
IIdem positis.
rationem incer B e B.
 Dieo proportionem qux est incer rationem A ad , a lattonem
Aad BC, eandem esse cum proporrione quam haberracio BC ad B, ad
Demonstratio.
BC, CAeademcamtatione BC ad B ddtalionetu BadB. Quodtur demonttran. L. 110
dum.
o A ad B, ad rationem A a BC, CM BC + ad B. led rario BC ad B, ad 27. Pro
LLrarionem B ad B, elt oriam et BC b Ad B. ergo ratio AB ad rarionem A ad pori.
+ 1O V.
Ildem Portis:
Dico  aB CC La  ut B. C, ratione C adB.
Demonstratio.
Z Atio A ad B, ad raTIOnem A ad BC, pEr PERCedenEeM LGHACL FAHIONI BC
ad B, ad racionem B alt B. HCaTaCIO BC du B, TapeTaCTaCOMCIM Bda B, P4- C 124. PrO
tione C ad B. Isitur Ctiamracio A ad B, Cuperar rationem A ad BC, rationC C PorI.
ad B. Ouod tuic demonstrandum.
C
5 I.
YI
Aca SiE ratio A ad quamnis aliam divilam in B et C.
Dicorarionem Aad B C. X Gaaslaltont s aa b, Mustactonee
Demonstratio.
D Acio A ad B, ad rationem A ad B C, cA BE B C ad B. Icem ratio BC ad A.
adracionem B ad A, eA ve BC ad B. Lgirur ratio A ad B, ad FatIOnEM A ad
t 1 1er t er in 1
B C, C4-
A A
    .    t t a 1 e   u   e  t           a pa  1.         a  a