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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
# Folio 47, page id 824573315:0067
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=824573315&page=67
# Source image: https://digitale-sammlungen.gwlb.de/content/824573315/jpgs/default/00000067.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.87
# 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.

La 26 210
 Semicireuli.
oi el auclonsioc; non eamei utraG; IId CaCE EAEIOAEGLE
alcera in alcerius ratione duplicarâ; Tunt enim diameeri ad in-
ricem, non uc ip Ex ordinacim. applicacx, sedur ordinacien.ap.
plicacarum quadroca, (pront nocum est ex principiis Cnnicis,)
NEDC AD AD:: OD9. OB9. Si eamen punctum D al.
Genecur in ip(o Parabolae verrise R, adeo ut incercepea diame
Ter AD nulla sic (propcer coincidenriam punctorum A, V,)
etiam de ordinatim axplicaca () D nulla eric; Cive nullius lonsi-
CudiniC; WC DACCE.
Sed _ idem eveniet in Hyperbola, vel F. IIipCI, aliive ejusmodi
curra; ubi camen racio diametri ad ordinacim applicacas ma-
eio adhuc est incricaca. Adeo ut Lemmacis vericas abunde
ConAet.
Eis policis: sic procedic arrumentum. Sic recta P A extremo
diameeri AD perpendicularis, adeoq: peripheriam ABD
concingens in puncto A, unde recta AB (quancum opus eA ex
centa) ConcueraE CUm Peri
phecia abiris in B: circumdu-
cta jam recta A B EceabiE pC-
ripheriam in variis succellive
punccis quorum gueavis PIn-
Ggniacur: Temper durem, hoc
cransicu, peripheria B A _ an-
Sulus rectilineuS B A P pro-
porcionalicer simus cam cref.
cunc quam decrescunt, per
32 C3 e 33c6. Idcogi, ubi punctum B ad ipsum A pervene-