# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/79876922X:0599
# Permalink to this reading: https://leibnizlegible.com/page/79876922X:0599?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 113, page id 79876922X:0599
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=79876922X&page=599
# Source image: https://digitale-sammlungen.gwlb.de/content/79876922X/jpgs/default/00000599.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.78
# 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.

1tO5.
Cotta
inei
Elos
e illae
sibi
(Ume
tea
Mb
e
1d
(IE
X
i
10
FX CIOLLLMEATIONE.
213
crus normae extans ad quascunque rectas per
B. transeuntes, praeter batim suam. Ergo re-
Eta A B. Obligua plano esse potest, licet uni re-
etx perpendicularis lit. Sed illa tantum recta
elano perpendicularis dici solet, qua omnibus
ommino plans rectis, per punctum inci
dentix ductis, perpendicutaris ek, uc jus
communis Detinitionis poltulat.
Zi
Produetum VII.
si recta AB, plano FC DF trans
verlalis, duabus plani rectis, in
puncto incidentia libi transver
s
it
lalibus, (recta (sh) a recla (nO,
perpendicularisfuerit; Ipsipla
no perpendicularis crit.
Demonstratio formalis.
Licet enim plavi recta (nD) rectae (8h.)
Eitobliqua, per Sructuram; tamen quia nor
mae AB cH. extans crus AB non cantum sua
bahi (Sh) sed de rectae (n0) perpendicularis
est, perlirpoch. commune crit crus normarum
atrarumque, atque lic, immoto crure A B, BaliS
(Sh) circa punctum B conversa basin alteram
(nO) eodem litu, ee sic omnes in eodem plano
er idem punctum transeuntes, tanset.
Productum VIII.
a
direeta AB, PlanOFC DEcransver.
M5
TaliS