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# Piece: https://leibnizlegible.com/api/records/17912/text
# Catalogue record: 17912 — Mirum lineae planae apparentis genus, qvae non est circularis, et tamen habet omnes suas perpendiculares in unum punctum
# Incipit: Haec per polygonum ita adumbrari poterit
# Date: 1700
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=17912&katnr=39687
# Work: https://leibnizlegible.com/work/00068195
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folios: Bl. 175 (from the shelfmark LH 35, 12, 2 Bl. 175 (=39688)): 2 pages, canvases 349–350, page ids 00068195:0349 to 00068195:0350
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=349
# Lines: 83 recognised on 2 of 2 pages, mean confidence 0.91
# 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 175r — 00068195:0349
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000349.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
pomatus mobileractum e liquida pligro pes moveri
simulque ob concepto
jam impeu moveri in plano quaeri
 namimtpus
Gratiosissime
circulationem esse harmonica
seu ipsas. MD esse ipsis
recipivae proportionales
am vires contrifugae sunt
 summae in reciproca trplicato
ratione. seu DBaa: V= daY
in et circulatio est Da: Y = cd
siet dDaa. Y = dr =
camporis
plement
et darr=  coco D
Ic BBaadr: r3 = ddr dr
seu OBaa: r2 =  + d72
si  1b- 10d aa: rt = L ar
seu  D = drY: Terr-aa
et St seu temp = (arr: terr-aa, quae
pendet ex quadratura Hyperbolae.
Et reveravidetur tinen esse Hyperbita, per ea quae
ua
obliticlimmissone temper
de motu planetamm Elliptico subfirem
P. Wolfis sum locutus qui multa
Scherdiasmatis in ordinem redacti, anno-
lum conitem unius
tavi, et inclusiin
L
rei causa, nisi per se visitationem
cetur; non ausim desiderare.
si Badae esset, commodius
sane, ut ajunt domestici
me di
Cum plano circa cento
vim centrit
in quae sit  linea
ne
si
aria rutione circulationim

## Folio 175v — 00068195:0350
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000350.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
oparenti
Mirum lineae planaegenus 
Quae non est circula ettmi hadet
omnes suas perpendiculares in
unum punctum concurrentes
Haec per polygonum
ita adumbrari potert
sit centrum C, jungatur
et punctum datum 1.
hui
jungatur C1 et ex
hormaliter educatur
2 jungatur C2 et
ex Z normaliter edu
catur. jungatur (3
et hujc ex 3 nonna
liter educatur 34
et itque porro. patet
Intera polygoni sint
inassignabili fore ea
bugentam portiones
seu curvae clementa
et omnes perpendiculat
concurrere in C. sed
opera pretum est exgumarirem
stractius velum re
distinctius examinata patet
rem non procedere (in massignabilibus
revera enim differentia inter ravios
C ut. 4 inter radios C3 et C4
non tantum est in finite parva respectur
radii, sed eticem infinite parva respectus
ipsu
lementi curvae34 adeoque infinities
infinite parva, et ac proinde qunde inter
in assignabilia primigradus habenda pro
nulla: Elegans difficultas pro exeriendis
illisqi ne fatque instruendis illis qui in
intin con
lior infinitnum Geometriam
 ea infiniti non satis intlligunt