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# Piece: https://leibnizlegible.com/api/records/296/text
# Catalogue record: 296 — [Aufz. zu Evoluten und Evolventen]
# Incipit: Sint tres foci A, B, C in eodem plano. Et foci A et B connexi filo
# Date: 1692-06-03
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=296&katnr=57871
# Work: https://leibnizlegible.com/work/00068199
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folios: Bl. 18r (from the shelfmark LH 35, 13, 2c Bl. 18r°): 1 page, canvas 35, page ids 00068199:0035 to 00068199:0035
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=35
# Lines: 62 recognised on 1 of 1 pages, mean confidence 0.80
# 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 18r — 00068199:0035
# Source image: https://digitale-sammlungen.gwlb.de/content/00068199/jpgs/default/00000035.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 62 lines, status machine
sint tres foci ABC in eodem plano Et foci A et B
connexi fato AEB, quo descrlbi et Ellipsis EE. trajectum sit
AEI
pr annulum cur annerum bilum
stylus ip F tendat sambo sita quaritum potesti
rluru
GFC
tisuc
ns Sc tautum
2
la ptur
motu am
ambolum frlorum semper sensorum describetur linea Fp. Ubi
patet
FE esse ciolmatem ad Ellipsiu
eo
e eundem
i adloque biscrantem angula esse normalem et curvam FF
facere angulum ad curvur fF.
um
est
Na
andem curvam etram
coevolutione
panifesrum est describi bvollitione eds curvae ytcum puncto seu
h
10
posito curvam ili sua evolutione Ellipsiu describere. Idemque est in e
aliis quoque Atque ita mechodum habemus pro evolutionibus seu
p
ocis lincaribus, substitui focos simplices seu puncta, sic pr hoc loco
pro foco cineani
GG
en duo puncta A et B
isiqus GG
nea
substituntur substituuntur suo foci simplices
C
voliescunque scilicet linea evolutione
semplic
genita nempe CE redoeu potest por foeos tunc etiam
ae
 ipsius GG coedolutione genita ad fcos simplices
at
m
revocam pt
Si pluras sint foci concurrentes ad lineam E
idem est et linea GG haberi potest ducendo per FE, vel
vel dicendto normales ad
eq
e
similiter esset AC in F
pro
annulus per quemm trafectus pra EF, C
e
CH sie ut faciant
linum continuum ut in tribus foers quie scentibit
qui lu
est onnulus petest is constituere focum movitem un
videnduo an hac mellorto otanis caron vrdimaria redricibalis ad foeos punotates
quod si in F
alco fixo vel mobili, vel aliis onp t desubat curva