# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/25536/text
# Catalogue record: 25536 — [Aufz. betr. Calculus Situs]
# Incipit: Spatium est extensum absolutum
# Date: 1684
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=25536&katnr=40932
# Work: https://leibnizlegible.com/work/00067976
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 14
# Folios: Bl. 61 (from the shelfmark LH 35, 1, 14 Bl. 61): 2 pages, canvases 121–122, page ids 00067976:0121 to 00067976:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067976&page=121
# Lines: 36 recognised on 2 of 2 pages, mean confidence 0.96
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 61r — 00067976:0121
# Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000121.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 34 lines, status machine
itaque, spatio
patium est extensum absolutum, seu in quo continetur
quicquid extensum est. et spatium est illimitatum
punctum est omnium quae in extensid situm habent
simplicissimum.
itaque spatium caret situ punctum extensione.
punctum puncto congruit, alioqui simplicissimum non esset
Linea est via puncti seu locus epeo omnium
punctorum immobilium spatii, quibus punctum mobile medio
Linea est puncti via seu locus continuus successivus.
tempore
 A quolibet puncto ad quodlibet duci potest linea quae
Dantur lineae infinitae anter duo puncta evitet
Aquobe punctum datumC. Ponam enim corpus dari in
quod cadant hac tria A. B. C. sumatur ejus pars aliqua in quam
cadat punctum C. non vero puncta A et B ea pars anferatur
ita tamen in cujus extremitatem eadant A et B, in medium vero C
patet lineam in extremitate ductam non occurrere puncto in
medio. Vel firmius: sit corpus in quod eadant puncta A. B. C. data
quod autem tate corpus dari possit ostendo. dato enim corpore
quocunque in quo continentur A, B, C possunt partes adimi addique
Eta ut A et B detegantur, C vero tegatur.
Infinitae dantur lineae a puncto ad punctum sint duo
puncta A et B dieo ab uno a inter nullum per duo puncta
preten
data A et B transeuntes et nullum punctum commune habentes
Infinita enim dari possunt corpora in quorum extremitates
cadant puncta A et B, ita tamen ut exlaemitates sint
quaedam
inter se diversae, si scilicet una aliam includat
corpus est extensum undiqe clausum seu cujus punet a ab aetio
tangi non possunt nulla pari dari potest cujus non assignari
possit pars clausa. Clausum voco cujus nullum punctum ab externo
attingi potest.

## Folio 61v — 00067976:0122
# Source image: https://digitale-sammlungen.gwlb.de/content/00067976/jpgs/default/00000122.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 2 lines, status machine
tateuntnamievors ovi 8t
atur. LH 35, 1, 14, 1122]-61VC)