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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 7, page id 1032977698:0029
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1032977698&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/1032977698/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.81
# 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.

1
3
6
2
L F M NI AI A.
AD C vel rectum vel recto majorems tangat au
cem cuiram in puncto A linea AG, OCCUETCHS
recta DC in G, Sicque E C rectarum AG et
AF difserentia (eu A6= AE: DICO, AI AFCUS
AC. (vel juxta praecedentem, subtenla AC) (U-
matur omni dato minor, etiam (6, teu
AC = AC, ForComni data minOTEMI.
Demonstr. dato enim aEcu A C, datME AF,
_ ob datam AG, datur quoque AC = AF,
Ceu HG. Secundo, cranelcente arcu AC, 0b
lincarum AF X AG, hoc incasu, coinciden-
tiam, adeoque ex requalicatem, eE ip(a II G CVa-
nelcet, quare, per LCmma 18, ContatPrOPO
TUI.
22. Tn ErianSuIO AEC, FIC. L, CujuS anOU
luS C eA vel rectus vel obtulus, ducaEIE RC
lateri C F pacallela, crienE AF 2d AC, it2
differentia lineaeum A6 et AF, ad differen.
tI2M AK dE AC.
Demonstr. nam Ob rectarUm K C et G F P2-
rallelismum erit A6: AF:: AK: AC. Unde
divid. eC aIIerH. A6 = AE: AK = AC::
AF: AC.
23. Repetito lemmate 2I. TII, FI5. TIL, AC
arculuS Omni dato MINOE, aC DEF pUnCTUM C.
dUCaTUE rectA R L ip ( D G parallela, produ-
Et2queScbTenSa AC in F, erit differentia can
TeMEiS A K ex Lubren(a AC aqalis nihilo.
A 4
D