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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 465, page id 1815201908:0522
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=522
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 81 lines, status machine
# Lines: 81 recognised, mean confidence 0.74
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# After the first blank line: the recognised lines in reading order, one per line.

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D A R A BOL A
L. Demonstratio
Voniam F FB aaBGulum quadTUxIM A CH LIIALGUIOTUIM LFR, ALON, _ 
Cilla cursum sunus tutrpca, quadrupla illorum qua rensauis tiouris mixcilineis in-
Scribuncur, ex ica sine cermino procedendo, ablaca lemper quadcup la sune criangulo
rum reliduis figuris inleripeoru, cric per 87 librinoltri de progreslionibus rora crian-
sulorum series i d est concauum AF C B A, ad P P. C criangulum, ve quaruor ad eria
yod erac demonstrandum. (3 cuenitro ree
 oB D . .P EaCorollarium.
ICPAEOE FE. CI trianoutum criplum CACLCHdm AEBF A, CTBOC. est
tenim b R. C criangulum ad fixuram concauatu AB C P A, verria ad guacllor:
quare criangulum D. P Cn cresquarias conciner tisca ABC P A, adebde feliduo.
rumicriplum cAt r 9 bil: L
13: C
ilesne
s
B5
D ilo gia. K Dt D. S. L Lchil X X X V
P.s. TNEIB C.
DicoAEB parabolam conuexam auptam etie Agutae concallu
dulum FDC, sic parabola A F B ad figuram Concavat. Ica A L. B criansau SCorolt
daiplum estcrianeuli L.D Ciisicur e parabola AL B dupl et  a a A L B D. 215. huius.
eis
_FOSITIO CCLLAVIII
IEdem positis olvvaLr 3 L.
AE BDA.
nties cu Demonstratio, od
Plelalicacam concaue quam con-
vexxe parabolae, criatsula maxima
AF B, EDG. quonIaM IgICuE AF B
Parabora et ad crianSIILM AE B ve
b quaclor adrria: candetm aurem ha-
DCAE PropOrtiOnem ASUTa ConCaUX
CA L BD, ad criatigurum E D G, Cric vE
criacsa AL B ad parabolam con-
nexdu, HC LDC ertangulum ad Aigu.
rans aam AA BD: ec permu.
tando ve A B criangulum ad et
Duoderac demonstrandum.
23431
Demonstratio.
b
hN
Demalicer demonstrale.
Necribantur sermentis residuis tam parabola convexx, quam concaux, triangula
maxima AIH, F, R B, N F O, PC O. Duoniam criangulum AF B, c ablacum ex c 1id
crianetorum maximorum serie palabbe AL. B inleripeorum, illi aquaris ex fiou- 7 235. hu-
ram uacilineam AF BD H aguari roci scriangulorum maximorum serici figurx ins
illimleripcorum, parabla AL B,  dupla eAt sipura ipixcilinea AD B P. A. Q_Od popresioni
h85. D
guta AIE, F KB ablaca Cx residud Patabo supra atorum NFO. PC,O
provottione dupla, siuc cermino in veraese sd Pee. Concinuari, SNCEOcam E23L. hu-
erac demonutana.
N nR
ha
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