# Leibniz Legible — https://leibnizlegible.com
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# Permalink to this reading: https://leibnizlegible.com/page/1023099829:0087?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 37, page id 1023099829:0087
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=87
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000087.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.92
# 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.

S V M N A.
qui proxime superior est proposito certio sit que haec eius
expositio.
A+ Y 12, A F 543 A Y 1O8 A Y 81
Jam assumaturnumerus 17 qui in progressione propo-
sita proxime sequitur olrimum progressionis terminum
darum 24. Et constituto ipso 17 in eodem eradu quarto
nempe, 83521, auferantur ab eo, haec
Primo, summa numerorum propositorum, 5 7 8 F 117
4, nempe 3d mulciplicata per numerum 108, qui est
coefsiciens ipsius A radicis.
Secundo, summa quadratorum eorundem numerorum,
5, 8, 1F, 24 multiplicata per numerum 54 qui est coef-
ficiens A. quadrati.
Ec sic deincepsprocedendum cset (I Superessene
gradus alii inferiores ipsi gradui cerrio qui propoli.
EuS CA.
Deinde, auferatur primus terminus propositus 5
in quareo gradu constitutus.
Denique auseratur numerus 3 qui est difterentia
progreltionis in eodem gradu quarto constirutus, ac co-
Fies sumptus, quor sunt numeri proposiei, nempe qua-
ter in hoc exemplo.
Residuum, erit mulriplex summa quaesica, eamque tO
ties continebit, quocies numerus 12. qui est coefficiens ip-
sus A cubi, seu A. in eradu rerrio proposito continet v-
mitatem.
Si ergo ad praxim merhodus reducatur, numerus 17 consticuendus
est in 4 gcadu, nempe. 83521, ex ab eo haec auferenda LunE.
Primo, Cumma numerorum propolicorum, 5+ 8 Y II Y r4 nempe
38, mulciplicara per 108, unde oritur productus 4104.
Beinde, Cumma quadratorum numerorum propolicorum id elt, 5, 7.
5, F 21, Y 14, nempe, 25 + 64 F 12F F 196, quorum summa elt
406, quae mulciplicata per 54 efACIF 21924.
F iis