# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/826603459:0059
# Permalink to this reading: https://leibnizlegible.com/page/826603459:0059?run=74
# 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 11, page id 826603459:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=826603459&page=59
# Source image: https://digitale-sammlungen.gwlb.de/content/826603459/jpgs/default/00000059.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.90
# 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.

Demonstrationibus.
ejusmodi Pocistima demonctrario: ut apud smiclecium eidere
ell, quactione prius citata.
30 Fuclicis demonstracio. non isicur concludic Triangi
lum ABC aquilaterum cBsc, eo quod inter duos circulos construetum
sit, (uE Smielecio videtur;) sed quod larera C A, AB, BC., sint inter
se aequalia uc ex progressu demonstrationis parec. IIIud Aucem,
de duobus circulis in constructione achibicis, LUBSERVIELAMEUMI
aequalicari lacerum demonstrandx
4 Nocandum es Fuclidem lococitaco, non eum vericatem
Theorematis, quam constructionem problenacis, demonstrare
Non enim simpliciter Probaturus erac. Triangulum ABC esse aequi-
laterum; Ced Trianculum, eo, quo imperarum crat, modo constructum,
esse aequilarerum; Ceu Hy∞ochecican hanc propolicionem, si Fri-
anculum sic construatur, erii aequilaterum, veram effe. Jam rero, quan-
quam aliunde Forcasse constare pollic vericas consequencis
nempe Trianculum ABC esse aeguilaterum; vericas camen conse-
quencia (nempe illud ex constructione sequis) non aliunde probatur.
neg; ex alia caula masis, immediaca dependic, quam ex ipla
constructione: nempe quia csstructor sic procedendo acceperat
aequales circulorum radios. PX vera igicur propria e in mediato
causa demonstrarie Euclides constructionem problemaris Ouamvis
Egitue, Trianculum illud aeguilarerum esse, demonstrare videtur per
caulam vel remoca vel accidentalem; AC cerre constructionem illam
problemati sarisfacere, (quod erac Puclidi demonstrandum) per ve-
ram, proximam, B immediacam causam demonstracur.
50 Fciam addendum eM, in nulla quidem sciencia expectan.
sum esle, uc omnes ibidem demonstrationes x qua li perfectio.
nis gradu procedane. Abunde Cofticic, s demonstrationes ali-
quae sinc per veras e proximas caulas, ideoq; ro siorI. Quanque
demonstracionibus illissi so, passim immilceoneur alix 78 8rc.
TIc in lcientiis omnibus abunde liquet.
60 Igicur concedo, sinon demonstrationem provolicam;
ac Calcem alias non paucas, in machesi pasI OCCUrFeNTC, pro-
cedere, noncam a causis proximis e immediacis, quam ab
allis locis Topicis; ad eoq; demonstrationes cc 1d 321, nOn SeorE.
90 Negocamen, in omnibus demonstrarionibus Machema-
cicisillud obtinere. Mulcas enim a veris et proximis causis
procedere, adeog; demonstrariones ele re sion, contendo.
ldeoqu Smiplecii enumeracio demonttracionum, quas esse rE
376
A