# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0643
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0643?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 586, page id 1815201908:0643
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=643
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000643.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

278. huIHS.
bL. DCprO-
pressionibus.
C 14. dexeI
AIY P F R L
L
Demonstracto.
Donaneur LL, MK mediX propot.
cionales inter IID, L.V, FC, C.
cancurque B, Ll. L.O. Merti
aequienstances alimptoco AC: cum
isIEUFD H, LP, P. Cr, MK, F C candem
concinuene racionem, proporrionales
Tunc AHT, AB AC,AK, AC. quid
Cum ilbracione luorum incegrorum.
ve TIT ad IC, AC AF ad AC, id ett
E C ad I. I. quarec parallelogramma
vero HTI, LC. Ck. lc. differencia,
que lune parallelosramma P. P, M C; limmer F. K parallelogrammum rquale est
ParalleBorammo MC aequalia isirur lue suaruor parallelogramma I. HI, E I. NC.
FK: idlcur duo L TI, F. I ablacac lezmen L CTID, aqualia lunc duobus NO.
PK ablaris e segmenro FiC F. Cr: Rurlum MeT DEB, I F, BC, icem F. C, WK.
E FT FF aquolia sune: similicer quia est G T Ad CTR, DEMK ad F C aqualiaquo-
main lCGMenEO P. L ala Pacaelogrammis scgmenEI F C F. C: quod cum
temperheripors  a LLLL maiora sinc dimidio scomenci D IIP. 6
prosressioni. Sexmenei, constat F. C. L. uGucuum aquari segmento P. ODFI. Duod tuirde-
OSITIO CIX.
DicoATD, IF, RI
legmetica esse xqualia.
Demonstratio.
. 
emam 2,AL1ac
proporcionales lunc. CtH
LL, _c. camdem quoque incer le
concinuanecracionem; vnde DL
EPFCcomenca lunc xqualia. Simili-
FC meala Penaneus propolclonales, ollenderur similicer, re prius, parallelopram.
Au5.D. _ aequalia ablaris ex seGMenEO F C F C, que maiora quoque sunc dimidio eiusden
6u5.
3B. huiu
106. hu.
ibid.
MIGuLEaMAUM.
MK, FC, ipsi AB aGatantes.
AB, AC asympeorihyperbolX DEF: divis aque AC, VE AC
I, AI, AK, AC concinux Cincproporrionales, ponanrur CD. F. LI.
terCum PFT, LBMR, F C in eadem sine proporrionc, 8 xqualia quoque sunc le
BIMEnTA F. P, L. R. MC. C igicur veriras propolicionis.
O PC
SI TIO NC X.
IHC ALB, A C alymprorihy perbola D LL, a LCPMIIENCa MIIIC. L GdaIIa
DLIIB, EGITI, GFKI: ponancu AL, AL, AC, AF.
Dicohguras mistilineas D AF, DEHIB, iteM E AO, F CIFI, RC. AC
denique DAF, F AC, C AF siguras incer (C aequari.
Demon
s