# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-867509:0068
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-867509:0068?run=79
# Title: LBr. 943 · Tschirnhaus
# Folio 33v, page id DE-611-HS-867509:0068
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=68
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000068.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 29 lines, status machine
# Lines: 29 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.

ralitatem ejus anmadvertit quisquam neque modum ad altiore gradu
promovendi ostendit. Ego primus ostendi exemplis et rationibus
expressionem illam esse generatem et admittendam, non ob-
stante aliquando casu impossibilium quas in Analysi
utiles peculrari Schediasmate probavi. Itaque deprchenso quod
veram et generalem Cubicae ac proinde couadrato quadratice quoque
radicis (Secundum Ludovicum Ferrarium
serimusjam
superiore seculo gatum ad Cubum reduxit) expressionem ha-
beamus, spem concepi posso et generales altiorum graduum ha
beri expressioncs de quo olim in fallor su clubitareras. Itaque
radice in duas partes
inveni crogresrionem in infini
tum euntem, le gradu in gradum cujus ope quamodam in
unoquogu. gradu altiore aequationum radices exhiberi seu
aequationes affecta ad puras revocari possunt quam meam
progressionem aequationum refolubilium in fallor postea ad
angulares pertineze deprehendisti et vidi postea
etiam vietam in sibro de sectionibus angularibus hanc ipsam
Plane exhibuisse progressionem et si radices ejus dare
non potuerit. Verum cum
ralicis utique non poset
exhibere in altioribus radices generales hinc putavi tentan-
dam sectionem radicis in partes plures. KLam radices serpi
onis ferrei in Cubicis et quas earum exemplo exhibui in
altioribus
ponendo X aequ. a + 6. (ed pro qua-
prat
arato quadratuo ponendum X. aequ. a + b +c qua fur