# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1815201908:0675
# Permalink to this reading: https://leibnizlegible.com/page/1815201908:0675?run=74
# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 618, page id 1815201908:0675
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1815201908&page=675
# Source image: https://digitale-sammlungen.gwlb.de/content/1815201908/jpgs/default/00000675.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.83
# 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.

AIXPERB
2. hrins.
27. D
 11.
Scendimus libro de parabola , IF. F FI, F F. des in concinua rationc. ORCM
sum insuper est F FI, F C, F F. esse concinue Proporcionales. Igicur cum sinc Ra
serieserium concinuarum habencium primam Lem, ratio tertix FI ad
cerriam fHlb duplicara est eius quam habet secunda LLLad secudam C F. igicurra-
eio OF al LF, que est compolica ex racione  ad HIF: de exracione HIF ad IF,
demonstrare oporeult.
Acesanoulumect, L aucacur AB licq incer illos axes tamquam
alrmprocos collolala perbola lH occurrens AD, in R, e recta LC
alyriptoro requidistatis occurrac sectionibus parabolicis in P de G: Per
dux punctaagantur AF, A G, occurrences sectionihyperbolica in pon-
ais L_ II.
Dico scomentum I A K cerriam eAe parcem legmenri lAHI, Cive di
midiam FLLLL.
Demonstratio.
que duplicaca exrarionls be al e. cpubaa e ralionto ete al P. lb
=AOPOSITIO CLZZI.
TOnSICANEUF AxES AB, AC parabolarum A F D, ADC continen.
 C.C Praecedene
Ot
ncratione e
id OC. ese rriplicaram eius
quamhabecracio F. C ad FC
onde ratio FC ad CC; sest
duplicata rarionis F C ad FC
Cedrario FC ad C C, cader
est cum ratione R N ad R N.
 rariO F C ad F C, cadem
cum ratione I5 ad FS, ixi
tur raciO RNT ad R H, du
plicaca estracionis IS adTS.
dratio XN ad RN, dupli.
aCa
a e e  pa s  a s  t te p e e e put tae uet t ua  at    at e   e   e     ute t  pti st t a t i (  a i   ette t  e t   i  t u