# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067970:0030
# Permalink to this reading: https://leibnizlegible.com/page/00067970:0030?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 15v, page id 00067970:0030
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 16r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067970&page=30
# Source image: https://digitale-sammlungen.gwlb.de/content/00067970/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.98
# 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.

(99) si sit A. Y. g B. Y. gC. L.
locus VY erit punctum, sive
Y. Natisfaciens non erit nisi unicum
sive erit Y ∞ (Y). Haec propo
sitio demonstranda est.
(100) Habemius ergo loca
ad. punctum, ad Rectam ad
circularem, ad Planum, ad Sphaericam
solis congruentiis ex pressae
Sed haec partim vera, partim possibilia
esse demonstrandum est; et cum
aliis definitionibus coincidere
nostras demonstrandum est.
(101). Si su tractus quo sive extensum
quocunque quodcunque moveatur uno puncto existente
immoto, aliud ejus punctum mo aliquo quodcunque
ejus punctum movebitur in sphaerica.
Pono autem ipsum extensum esse rigidum,
seu partes situm eundem servare. Habebimus
ergo modum inveniendi sphaeriaae puncta
quotcunque. Potest etiam A. B. 8 A. Y.
(02) esse data; si tractus transeat per
duo puncta A. B. Tractum autem aliquem
e (sive linea sit sive superficies sive
solidum) per duo data puncta ducere, et
tractum movere uno puncto immoto, utique
in potestate est. data
(107.) Si per duo purt
duo tractus congrui, congruenter modo, id est
ita ut puncta inno respondentia in Duobus
tractibus situm habeant ad duo puncta data
si opus sit
unumquodque ad suum congruos, moveanturque aut etiam crescant
etiam congruenter donec sibi occurrant,
loca in quibus puncta errum respondentia
Sibi occurrent erunt omnia in eodem plano
puncta plani illius quod ad duo puncta
data eodem modo se habere, definivimus.
posse autem congruenter moven, posse congrue
ac congruenter produci, donec occurrant
postulo.
Eodem o res redit si
ex duibus punctis datos
ors) si jam sphaericam sphaerica, aut
plano secemus habebimus circularem, si
planum plano, habebimus rectam. Si rectam
recta punctum. Ostendendum autem est has
sectiones fieri posse, et punctorum sphaericae
et sphaericae, vel plano et plano, vel plano
et sphaericae communium esse tractum.
i sphaerica planum vel (phaericam tangat
etiam est punctum, cum scilicet circularis
locussit mimima seu evanescit.
mira simplicitate
a in quolibet puncto suo