# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0917
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0917?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 860, page id 1815201908:0917
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=917
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000917.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.85
# 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.

306
a 42. parab.
167.8a
i
uin.
DV CTYS PLaH
Demonstratio.
tas F C qua aquidistoc AD; crune
sconcinta ED, BD, F D. limilicet
nECtCS COnTINUX ED; ED, OV, b Crit
GC PatWMa. ISICUE CCOrpUS CmOrgeHS ex
perncto BD in alcicudinem PD aequa-
cur illi qu’od sc ex ductu superticiei BD in
epa. PaI PactO COrpUS quOd CTUIEUE eX
dali GD. in alcicudinem F D, Xqusle est py
aum, rarionem candem obriner quam eria ad duo.
AEx der ad duo, oum d. B Fi duplum sie B F) ec consequencer F D criplum ciusdem; igicur
inst. 243. cciam BB in sc ad P D in sC d
ramidique extursit ex F D criangulo in (e ducto. Tsitur ve est superticies RD ad lu-
Perticiem OD. ica eAtcorpus orrum ex ductu B D plani in le, ad folidum quod ori-
cur ex ductu F.D in Pe: sed superficies CD estad luperticiem CD, Auc BR. Vecria
Duod erat demonstrandum.
PR OPOSITIO CCXL
1EHOC A 33isF~V
DArabole ABC sIT axIs A D, ApCx AuIECM A punccum, cui Sub alcer
L nCCOII
etur, parabola D L. Li ad dxct D H, ee politis duabus xqui-
distancibus ordinarim ad axem cellicet G, fl, lK, hanc rectangula OP H
aequalia rectangulis OPR; licalirem ONI, linca recta, vei _ HI R R.
Dicocorpus ex duccu superticierum NO, PO, aequale esse corpori
quod generacur ex planis inuicem ductis OP, OR.
Demonstratio.
roniam ductum planum PO in al.
cicudinem NP, aequatur lolidis pe-
nicis ex ductu NO in PO, e ex O)
plano in planum PO, et quandoqui-
dem solidum habens basim O P, _ al.
cicudinem, P R, aquale eA duabus qua
ciracibus quae tiunc ex ductu plani OL
in PO, e plani OP in OR planum
eAt aurem Colidum ortum ex ductu OP
tOP. In PO, ab veroque autcEaEur.
pora, Ccilicer corpus ex duetu NV O, in PO aequalo solido
i OP, in OR. Ouddemonstrandum fuit.
in P
qucs isiu
remanebunt Xqu
quod exhibet ductusi
I. L
C C Z
Malteur iceru parabole sub.
alTerHO ABC, DE F haben-
tes axes paralseloS AC, D F: e du-
cta axibus parallela BK, HatCOr.
pus habens balim M C, et alcieu-
dinem CN aequale Colido quod
nc lubbali CO e alcirudinc C P.
Dico Colidum Faccum ex ducru
Demon-
plani MO in ON, aquari corpori extibiro, per ducrum GO in P M planuti