# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1023099829:0084
# Permalink to this reading: https://leibnizlegible.com/page/1023099829:0084?run=74
# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 34, page id 1023099829:0084
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=84
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000084.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.

LOTESTAETML ANMERIOAROM
e
e es
es de
es
ies rts
soo no oe pos  
et
es nes
da
otorprs
ATVA NVMERIOAEVM
SV MI M A.
M O N ITV M.
ab onitate, quoccunque numeris conti-
∞. 8. 2, 2, 3, 4, nuenire summam qua-
dratorum eorum, nempe 1 Y 4 F 9F 16, id
est 30, tradiderunt veceres; imo etiam ex summam cu-
borum eorundem, ad reliquas verd porestates non pro-
traxerunt suas methodos, his solummodo eradibus pro-
prias. Hic autem exhibetur, non solum summa quadra-
torum, es cuborum; sed es quadrato quadratorum, es re-
liquarum in infinitum porestatum. E. + non solum a radici-
bus ab onitate continuis, sed a quolibet numero initium
sumentibus, verbi eratia numerorum 8, 9, 20, (5C. FF
non solum numerorum qui progressione naturali proce-
dunt, sed eo eorum omnium qui proeressione verbi gratia
cujus differentia est, 2, aut 3, aut 4, aut alius quilibet
numerus. formantur. Vt istornm, 2, 33 5; 7, (eC. v el
horum, 2, 4, 6, 8, qui per inerementum binarii auzen-
tur, authorum, L, 43 7, CSC qui per incrementum ter-
narii, es sic decaeteris, sed et quod amplius cst a quoli-
bet numero exordium sumat illa procressio. Ture incipiat
ab onitate, oF isti, 2, 43 7, 10, 13, (9C. qui sunt ejus
proeressionis quae per incrementum ternarii procedit, e
ab onitate sumit exordium; liuc ab aliquo huius pro
oressionis numero incipiat ∞t isti, 7, 20, 13, 26, T9, I-