# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:1205
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:1205?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 1148, page id 1815201908:1205
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=1205
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00001205.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.89
# 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.

QV ADR A FVR A CtR CVLL
Demonstratio.
Ostensum
demo
Brop. 143.
dud.
lane BR, AS aequales A B, quibus ordinacim positis ad axes A B, B A, describan
cur parabola ARR, BN S habences axem AB, crit rectangulo AB, P F Xgnale
rectangulum R F II, e rectansulo AB, D F aequale rectansulu I. FN. led veP F,
ad OF, ita rectangulum AB, PF, ad rectangulum A B, O F. ergO vE PF ad OF
sic rectangulum KF. II ad rectangulum I. FN. lam vero ve E ad MP, ica cAR F
ad LF, _ vE es F: I ad FO, ita F FY est ad FNI. Igitur est rectangulum R F IF 2c
P F N, verectangulum C F. Iad M F O, cum Achorum rectangulorum rario com
polica exiiidem racionibus. Tgirur cl cclangulum C F. L ad MI L O, ve linea PF ad
OF lineam: Ouod Fuit demonstrandum.
II AC aa PaC aQuaLIUM LUBALECrNE POLIEaTUI ACD, et
D LMN, ee applicatis ad axem ordinarim rectis CEN, DBM, super
AC hacCemicirculus ASL, secans ordinatim policas productas in S _R.
Fiac demum rectangulo C F. N a quale rectansulum (uper SF e T.
Dico segmencum circulare
ductum in alcicudinem T, X-
quari seomento parabolico
CDBE. ducto in lesmencum
EBMN: imotocus semicircu.
lus ductus in alcicudinem T.
aequatur cori parabola AV L.
in se ductae Tubalcernc.
Demonstratio
PROPOSTTIO LXVIII.
Voniam ve SF ad R B. b ita eR
At d CL. L a DBM.
_ VE SF ad RB, ita rectangulun
SF. T ad rectangulum RB L, cric
rectangulum S F T ex conttr. eque
Mt rectangulo C BN, cciam rectan.
rectangutum SF T ad rectangulio
RBF, De rectangulum CF N ad
rectangulum DBM. Ouare cum
eutum RB F aquarur rectangulo DB d quia semper concinsis, circa om.
ntAFC.