# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0660
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0660?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 603, page id 1815201908:0660
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=660
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000660.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.80
# 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.

atei
di
5
ain.
ela
nuS
_c.
ita
10.
1.
A Y PE RBOL A.
F L ad BC; isicur quacuor linea AB, VL, L P, DC mM Concinua analogia, ac
607
proinde DLumeael 2BBC. aouus deatcu
P R OPOSITTO CXXXIR.
DOnANEUF AB, BC, _ AB, L ap ccatu COOTM
GHI, IKL aqualium _ MIMMAI BC COMMIUCE; HDEaBC;
sine parattetx inrer se: duclcur aulem L. C parallela DB.
Dicoparaltete can e asuapacum arum duabus hyper-
bolis IK L, HIN F comprehensum.
Demonstratio.
luidacur BC bitariam, recta S F, parallela C F occlirrence Hyperbolis  K
X C. veligicur spacium RG FI L, duabus hyperbolis incercepeum; matus bet
minus est dimidio corius spatii, duabus incercepci hyperbolis; vet IIII a quale: Rminus
vel aguale; polra REalcera R C ParaIlela CL, VEK C: T FL (paccaar i Musidio
coriusspacii hyperbolis comprehensi, occutrarque CK rectis DF, BC in S L L.
eritisitur FC maior qua B P, ex T F. parallelosrammis maius dimidio corius paral.
seloprammi B P. quia vero hyperbolae dux aequales sunt, de similes, habentque
alimproron communem AB, IpAEIUM RSP F, aquacur O TTIC spacio, addicoq;
communi (HISR Paralleloorammo Y S F. C aequale est spacium R P CiFT. Simi-
licer B T linea bitariam divila in P, Bonacur P M aegnidistans A B. idicur lpacium
MNK O. vel minus auc maius est dimidio residui spacis R C F L, _c. producti, elil-
liae qualo. sxquale aue minus, posica Sc, ve ance, quaedam MNP vt spatium MLC
maius sic dimidio relidui K C: F L producti: erir igicur, re prius ostensum est, palium
MNVO K aquale; parallelogrammo PS, quod maius quoque cllamiato Patatte-
Brammi BS: qua operatio cum sine cermino concinuari possic, ica vrablaCA Cx Pa -
rallelogrammo B B, maiora sint illius dimidio e aegualla ablacis ex spacio duabus
hyporbolisincercepro quae maiora quoque lunc dimidio ciuldlem spacis, ConstaE EOCII
uclum duabus incerceprum hyperbolis, aparallelogrammo B L. CC ascale. I rel proeressioni
aqua a relidu du u pituo Cactns e oat
16. v
Pato lbe Th aequalis lic dimidio cociusipalisi peloots eteae pasm ous