# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-867509:0330
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-867509:0330?run=79
# Title: LBr. 943 · Tschirnhaus
# Folio 164v, page id DE-611-HS-867509:0330
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 165r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=330
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000330.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.91
# 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.

me non fuisse
in his plane norum
Eaque occasione
pauca reponam ad nonnulla loca literarum tuarum quae ad
me non pertatas tnte mihi in transitu reddidisti. per rectan
guta ego intelligebam id quod tu ger primitivas quantitate.
ab. abc. abed. Cum per formulas erem haud dubie incipiebam
a simplicissimis, nempe primitivis. Certas nec temtando procedetam
sed via plane determinata ad omnes in infinitum potestates suffectura
sed quod ea parisiis ostensa non satis attendisti, eaque postea de Tuo
eperisti causa fuit, quod praejudicata opinione laborares, quasi non fuissem
 ego methodos mentem perficientes sed fortuitas. Quod jam
credo intelliges a consuetudine mea valde abesse. Nullum enim in-
t
ventum aestimo ad quod non certa methodo sed mero casu perveni
Non recessi ab instituto deprehensa impossibilitate rem
per sola rectangula hoc modo ut parisiis coeperam, et tum
perscripsisti praestandi, sed animadverti adhuc aliis longe magis
reconditis artibus esse opus. Via per XH Sa + Yb
nihil differt a viq per a + b +c, semper enim vel
ad Eorribiles calculos ascendendum, vel singularia com–
s
+
Sc+ X
pendia et artificia invenienda: neque enim hactenus habita
ullo modo sufficiunt observatio mea, quod racio una
vero
gradus sequentis X, includat omnes radices gradus
55X
praecedentis; nempe quod posito X Ta + 16+Yo
e
in e0
sit sunt it ipsae a. b. c. d. eandem formam habeant
quam habent quatuor radices generales aequationis
quadrato quadraticae, hoc maximi momenti mihi videtur
cum sit generale et aditum aperiat ad compendia prae–
clara. Unde si vellem possem jam scribere
totam formam radicis quinti gradus excepto quod
pro numeris coefficientibus, quos ad huc ignorarem
collocare deberem literas ut postea compa quarmm
valorem postea calculo investigare deberem.