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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 370, page id 175905688X:0392
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=392
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000392.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.88
# 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.

D D L F A M L H C I M.
cellectis, ut constet, umbram baculi C transiisse item perB,
ostendendum est, cum umbra baculi A incidic in C, umbram
ipsius C incidisse similiter in B, hoc est, baculum C ad baculum A,
vel C A ad A F esse, SICUEC B ad AC.
Ouod ipsum igitur ue tiat manifectum, inreniendus nobis est
ralorlincae AG. Ouocirca ad hoc ductâ C FI parallela AC, se
Cante AB, BC in TQK, _ FllipCS vel Circuli circumterentia
occurrente in II, ponatur AB ∞ a B C D b, C A ∞C, A F ∞d,
AF ∞ es FIK ∞X, _ AG rel CK ∞Z: erieque R B ∞ b --Z.
Deinde, utinnoreleat A D, quoniam baculuS B est ad bacu
lum A, ut B A ad A F; itemque B baculus ad A baculuM, uFBC
2d AD: eritut B A ad A E, vel aad e, sIC B C rel b ad A D. quae
ideo erit=. Cum autem haec mulciplicata per AC, Icu Z produ-
eZ
CaF = rectangulum D AG, similiterque AG vel CK SeuZ mul.
ciplicata per KB (eu b -Z producat bZ. 7
rectangulum CRB;
bez
e quidem, juxta 17 prop. 3ei libri Conicorum Apollonii,
2d b2 = Z Z C, vel = ad b - Z, sICNED F AC ad ∞ORHseu
6d ad