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# Piece: https://leibnizlegible.com/api/records/38690/text
# Catalogue record: 38690 — De perpendicularibus et tangentibus curvarum
# Incipit: Datae curvae perpendiculares ita producere ut fiant alterius curvae pe
# Date: 1676-01
# Akademie-Ausgabe: AA VII,5 N. 066
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=38690&katnr=Cc2+1285
# AA VII,5: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-vii-5
# In the Akademie-Ausgabe: AA VII,5, p. 136 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/VII5B.pdf#page=136
# Work: https://leibnizlegible.com/work/00068195
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folios: Bl. 93r (from the shelfmark LH 35, 12, 2 Bl. 93r°): 1 page, canvas 185, page ids 00068195:0185 to 00068195:0185
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=185
# Lines: 16 recognised on 1 of 1 pages, mean confidence 0.95
# 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.
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# 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 93r — 00068195:0185
# Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000185.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 16 lines, status machine
angar. 1676.
Curvaes data emo datae curvae perpendicutre, tea produere ut irant alterius 
perpendicularis videtur ad calculum duche  qui non sit in potestate seu cetragonisticum sedatunde
scimus quomodo id feri queat, et ita solvetur hoc modo calculus tetrago nisticiaile. Eodem modo
ita ducere perpendiculares ut fiant altrius currae langetes seu minimae quae ad eam ex dato puncto
duci possint.
Ta X Datas langentes ita produere ut. frant alterius curvae perpendiculares
ducit ad calculum lehaginisticum. Is perime ac prior ata vare iniiri poterit, tum summam
incundo elementorum currae, tum etiam ducendo ex uneilangentas extremo A, peopendentare
ad EC, BCD, tertiae lanrgenti vecunentem in B, et ex D faciendo idem quod
ex A, pro sequentibus langentibus. Nota his meltio hac methodo inve.
niantur eique modi curvae quaesitae, cajus puncta C. sed mechance, ita
ut curva nveniur polygonum inveniat ei valde si vicinum, etsi
non ullumeius verum punctum ut in quadratriae,
Non possunt omnes langentes unius curae esse et tangertes altrius curvae,
quia non se possunt plus semel secare rectae.