# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067993:0114
# Permalink to this reading: https://leibnizlegible.com/page/00067993:0114?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 57v, page id 00067993:0114
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 58r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=114
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000114.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.96
# 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.

nisi aequationem indefinitam ad hibeamus pro angule
sectione, et numerum laterum quo polusgonum unum
alio minus est, talem fingamus, quo ut aequatio aliqo
eod seu quantitas eodim modo composita locum habet
Hoec methorus certo succedit
Illud tantum videndum an aliquando tale problema
in numeris solvi possit, nam eo casu haberetur successus
seu quadratura specialis
Haec methodus procedit et in aliis problematibus Tronscendentibus
quando pluribus viis in ea inquori potest et ipsa via apta
quaenam quae sit, aequatione honscendenta determinatur. Opus est ergo
solutionibus abundantibus, seu ut problema sit in potestate diversis
viis, quae in se invicem resolvi nisi ipso soluto problemate non possmit
Considerandum quomodo polygona alia quam
per bisectiones continuentur, nempe per trisectiones
aliasve, ut neque enim in aliis ut in circulo locum
habet bisectio utaque puto ut in besectione semper
inscribitur  segmento vel circumscribitur trian-
ntum maximum aut minimum, ita eidem inscubi
vel circumsribe posse quadrangulum maximum, quinquam
gulum maximum et ita porro. videtur autem quadrangi
tran
ABCd esse maximum, si lam tisonem A1X infagua
ABC quam triangulum BCd, sit in sur segmento maximum
Caeterum quando methodo hic initio posata investigatur
quantitas homoprotos, tunc qu modus se candi in sere
continuata continue variat, pendet enim ab ipsis terminis,
et est modo trisectio, modo quadusectio, modo atia quaevis; sed
tamen verum manet continue exhantiri, et convergi in non simis
Todum formulas convergentium a duabus litcris
quod sufficit.
revocandi ad unam alia scheda ostendi;