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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 83, page id 1815201908:0140
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=140
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine
# Lines: 63 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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# After the first blank line: the recognised lines in reading order, one per line.

D
Or re
Met
3, de
3
sulum
1
uobu
CD.
ereli
ionis.
CB,
suli
Sicu
sul
CD
AB
AlUI
AB
igi
140,
ex lei
H
E,
th
1c0
GEOMETRICA.
DABTCCLAHSHIA ABGFI, A CIET, IECM ADHH, A E L FL, AFMIT,
ac. ese omnia incer se xqualia.
demonstratio.
6. dedi11
LdatIo VE A B de AC, HC LEL A_ OFL, CBOTCCLAHBuluM, 2 ABGFF, X91I2-
ux rectangulo ACTTI. rurlum exdacis ve AC ad AB, sIC RII ad TFI; Cr9O
cclanum ClEl brectangulo ADREF aequale crit. Simin e Tengb-bidin
rum aequalicarem olten demus. manifestum eA isitur quod fuerac demonstrandum.
Corollarium.
Voniam perprimam huiusposicis concinué proporcionalibus AB, AC, AD
AL, icemque L, THL, RFL. L. LemLe cusum difterencIK YP, P D,
C, _c. GT,IK, KI, dec. sunc eriam in racione continua, manitecte pacec eadem
Mcctendi mechodo demonttrari rectansula LELM, DF LCCDEK3 BCF
llose inter le aequalia eMe.
R O
Ine dux Peries quete Comaru CMIdCMFaTONIS, A, B, C.
,tl, D, L, F, C, R. IC dutem rectangulum AB, aequale DI. re.
Dico etiam rectangula BC, EF: C C, FI; GiFI, TK; d HC deinceps
tangulo:
aequalia esse.
Demonstratio.
oportio rectanguli AB, ad rectangulum D F, componitur c exrationibus A 2d L3. Sexit
D, B ad F; sed rectansuli B C, ad rectangulum F F, proporcio quoque com-
iiidem rationibus componuntur proporriones rectanoulorum A B, DLi: BC, F. P,
adeoque cadem lunc. quare cum rario rectanoulorum AB, DF ponatur aquatta-
es, rectansulorum quoque BC, F. F aequaliraris proporrio eriri eodem modoreliquil
rellesuus oltondenturxqualia. Duod crar demonstrandum.
ponieur ex Laliontbus B de L. dC das hoe el si al  aanteun eaatsle
exaequo lic A ad C; ve D ad F, cric petmutando A ad B, vE C adt) CrgO CX
PROLOSIIIBRVaIa
ngula , bC, Cb, bHl; aDL, L. 13t1, Ik lingula Cin
xqualia:
Dico esse A adC, b alt f, a Bad 6, H L det L, a Medlcinceps.
Demonpratio.
Em rectanonlum AB, aequAlC SICRECtANSMIO D L, _L LCCLAHIECLHNI BC, RECCAII-
sulo F. F; ergo verecransilum AB ad D V, sic BC ad P F: e permurand