# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0328
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0328?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 306, page id 175905688X:0328
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=328
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000328.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.84
# 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.

100
AAHCtSCE d SCHOOTEN
e ∞ 2
d
D10
D2
75380,90,96, 200, F20, 125, 1443 750, 760, 180, 200, 225,
240, 250, 288, 300, 360, 3753400, 450, 480, 5007600, 720,
750, 800, 900, 1000, 1125, F200, T740, 1500, 1800, 2000
2250, 2400, 3000, 3600, 4000, 4500,6000,7200,9000
22000, 18000, 436030, fingo a esse r0, ac proinde aequatio.
nem propolicam esse hanc x+ ∞ F -- +8, 6X x L (88, 74 X + 1808,
36, hoc est, iplam esse hujus Forinx x3 ∞ F -- a p X X. L a a gX L a31;
itaut, secto latere recto a in ro aquales partes, p carundem ta
ciat 6, 974, dc r 36. Qua deinde juxta regulam pas. 85, 86, 878
88 construeta, invenio iplam licut antecedentem non nisi unam
veram radicem admittere, utputa FL, _ unam Fallam, uepote
K C, quarum lonsitudo ad partes lateris recti ceu (cala relati
octendie diritionem aequationis propolitae Polummodo tentan-
dam eAC Per X = 20 ∞ O aUF per X. F 5 ∞ 0. Tlinc cum iptadiri.
di polit per x - 20 ∞ 0 d Oriatur Xquatio x3- F 20 X X - 1 46O X. f
2800∞0, non aurem per x -  5 ∞0 quin aliquid polt dirilio-
nem relinquatur: concludo veram ejus radicem esle 20, 8 Fallam
esseirracionalem, cujus ralor scu quantitas, dum per lonsitudi-
nem