# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/79876922X:0570
# Permalink to this reading: https://leibnizlegible.com/page/79876922X:0570?run=74
# Title: Erhardi Weigelii Sacrae Caesar. Maiest. ut & Com. Pal. Sultzb. Consiliarii, Supr. Artium Archit. Directoris Saxo Ien. Mathemat. PP. totius Academiae Senioris, Philosophia Mathematica (shelfmarks Leibn. Marg. 65; ZEN Leibn. Marg. 65)
# Folio 84, page id 79876922X:0570
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=570
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000570.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 recognised, mean confidence 0.87
# 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.

e
ARLLLIMELRLEA DICTAMINA
Suma:
Duantum ductu linearum inter se directe
diversentium in sese mutuo produci-
cur: tantundem prodit, si earum Duan
titates sub eodem metra inter se tan-
suplicantur. ali
C
Scholion.
1
Fdeoque etiam hoc Factum dicitur Pro-
ductum. Orrobique Ouotitas est eadem, quam
ambx Qancitates conferunt, & inter le com
e
municant; sed Species producr alia ett ac esti
eiencium, in linearum acque superticierum se
mere; sux tamen eadem in genere Numerorum
manet. In concreco isitur immensa difterentia
uitrisque intercedit. Numerorum enim Onita
tes in produco nihil aljud exponune, quam
easdem aut ejusdem forme unitates complica
cas, quales nempe Onitates sunt ipsius utriusqs
numeri ad complicandum datxe; dux vero Li
nea producune Superticiem; ec linea cum su-
perticie producie Corpus: in quo extensirum
Genus etiam lubsictie Intensira vero quanta,
(quibus numeri quoque communes (UNE) PrO
preciuncus gractibus ulcerioritus in intunitum.
pir
DICLAMEN XXI.
dua recta, quae se secant mutud consistunt
in eodem pLaBO.
DICTA