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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 943, page id 1815201908:1000
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GEONE FR IC A
pX A ad B, ita E tiac ac
H, cric componta ex dup
ratione A ad B, de exracione
_ F ad C; _ veBadC
ita C hat ad FI. Pgicur racio P ac
aC.
B ad C: ex qubuis criam cui
compolica supponatur eatio 
monstrandum.
ad D, cric racio A ad D, cader
cum ratione P ad FI: e racie
B ad D Cactem cum racione
2d L1. TCa Tacio C ad FI, caden
es cum ractee Bad C, ex con
Hructore, Bar ralio = F ad0
eadem est clcatione C 4dD.
a Patet OX
led ratio F ad C, eadem est ex conttructione cum raciene L. dd L, hoc elt A ad B 23. sexi.
ex constructione: igitur ratio C adD, Cucat est cum lalbC AL de B. Quodtuic de.
PROTOSIETO, C
lcratio AB ad CD, ve B ad A.
ttee tadtnet aet  dat a tetac teat tata tat 
Demonstratio.
lac ve D ad B, ita C ad F.
igitur permurando D est ad
C. veB ad F. ergo per 13. huin
libei, eacio A B ad C D, eA vE
A dd B: sed eatio A B ad CD
e
ex hrpotheh est veB ad A; isitur ve B ad A, ita A ad F, 2dc0gue LuD L. CiC aupli-
cararationis B A: est aurem ex constructione B ad F, ve D ad C; isicur cum rario B
2d P, sl duplicata B dd A, pacecracionem Dad C, criam esse duplicatam B ad A.
duodtui au.
ROP OSITIO CLII.
Acis rationibus AB _ CD.
Oporreat duas extribere quantitares F _C P, VE ratIO AL AMPNCa
calicraciol laloveto eit sato dala D.
Constructio e demonstratio.
ilae proportionales
A BCQCDTTDC.
inde CosHDAIMIHEL F C
in eadem racione in qua
sune quancicaces HIVC.
guiricut, CCMMHCCER F ra-
tionem canac enecu
racione DC, Tallbe
Dico Factum quod re-
quoque
 i e i sit a t.  p i t i   s e  e u   . e t  ue t  t e  e e i   t p p t.  a      e e t e   u    p i us . sult. A1B