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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 94, page id 1041163592:0128
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=128
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 22 lines, status machine
# Lines: 22 recognised, mean confidence 0.80
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

dA
PHTTLOSOPMLLE NALURALIS
DEMOTO PrOdUCaNEUT AB ad R, ex B D ad L, UE SIE BK ad AB vF
ore YI ad GFY; _ D L. ad B D UE GF ad FG; _E jUNSaTUE RF
OCCUEreNS rectX C F. in i. ProducatuE I L ad M, ut SE L. M ad i F,
vE G FI ad FIB ec agatur tum MVC ipsi L B Parallela rectaeque
AD Occurrens in 5, tum si secans AB, B D in f, B. Dico
FaCtum.
Secet enim MC rectam AB in B, d A D rectam RY, inS, ex
agatur AP quae sIC ipsi B D parallela _ OCCUrrAE IF in F, _
CrUNE eM ad L. B (ei ad Bi, M ad L i GY ad FTT, AR 2d
BK) _ AP ad B L in eadem ratione. SCCCtUE D L in R uE SIE
DF ad RL in eadem illa ratione, et ob proportionales eS ad
M, AS ad AP, de DS ad DL; Crit, Cx aequo, ut eS ad L B ica
AS ad BF _ DS ad RL; ec mixtim, BL =RL ad L B - BF
uE AS = D Sal d 1d. ld eA BR ad BB ut AD ad A8 2d
Fhad f5. vell ex connruecone a LCactem racton sclla tun
in  de ll aesue la c deoque en du b
sir etium  auist at du Lib la clls i ces du cles palel Il
neas Lil, f i8 a cele icclas cill. L. li l.
eoque ut B D ad e G. Et vicissim B R ad B D uE BB ad ∞9, seu
ut FIF ac L C. 119  Caa 5e ic al tC. Cum igitur