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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 12, page id 826603459:0458
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=458
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000458.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.86
# 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.

 LC
l
12
Vestrae demonstrario. Cun quidem haec duo erincis; Tum
rectam a H, que inleripiam AO BisecaC, diaMCErO OCCUrETO
in puncto C; (quod quidem aliud acque aliud cH, PrOUEDUR.
etum P propius aue remorius a vertice distat; quipDe semper
AP. AC:: E = Z V 3. V 3.) TOm, Gomminoulla sC recta
quae ad verricem a camecer esle poltic, rectam a C. eam elle, uo
quae inlcripeam AO BilecaE.
Abincerim, cum ad Diameeri racionem spectee, non modo
utunam aliquam ex inleripeis bilecet, Ced de omnes cidem par
xallelas: quaerendam insuper rectae, an de hoc Faciat eadem
AC recta. Fieri enim omnino pocest, non obstance jam al-
laca demonstrarione, ur nulla omnino recta id Faciar, sed. linea
Docius aliquomodo incurrata.
Huic itaque ut Paristacias Ccrupulo, adeoque eorum absol
vasnegocium; adjuncta corcia demonstracione, oltendir; non
modo non rectam illam e C, sed nec ultam quidem rectam.
imonec (uci videtur) regularem aliquam curram, diameten
hmjasmodi riceo supplero Dosc. Nempehoc modo.
Acq: hacteniis neutistime de Subrilissime procedie Dominationio