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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 12
# Folio 4v, page id 00068009:0008
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068009&page=8
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# Lines: 37 recognised, mean confidence 0.93
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Esto recta B Ca puncto B ad C, et uttra indlfirile prod
Ut saltum hunc in figura utcunque ex hibeamus
puncta  ad
esto AC recta BC, in ea sumatur _ ABC
x sumto A puncto inter B et C
seur
porro  sumto quocunque puncto E in recta
BC, sit BE= X
a
jam ducatur linea punctata
FBHIK LM Ex pr cujus puncto quocunque ducatur perpen-
dicularis ad rectam BC, quales FB, GE, HD, +C KC ME
 et hae vocentur , sitque
C
X
q V
patet FB)E, HD fore nihilo aequales, seu hactenus
lineum punctatam procedere per ipsam BC sed eo
momento quo venit ad A, transire longe ab ea prosilire
et Katieri a posita a repraesentare unitarem,
progletiendo
a k vel L statim prosilire iecenseritur multo
progrediende aetem intra C4
ad huc amplius imo in infinitum. ad M, ita ut
per pendicularis a M ad rectam BC nempe ME
sit infinita. ita e tria X sibi indefinite propinqua
HD, 0; Ks, 1; et ME, infinitum erunt sibi immediaca
cum quam et in smplici Asymptota, qualis Hyperbolae
sed qui in Quavis
et saltus, non est nt eegulae adversus. ibi enim crescit
ordinata ad latitudinem quavis data majorem, autequam
infinita fieri intelligatur. Hi adeoque inter omnes per omnes
rectas infinita minores. Hic vero sbito transitur
a 0 ad 1, non tamen per numeros majores nihulo
minores vero unitate. Et similiter statim transitur 
ab unitate ad infintum, nec tamen per lenita numctos Uni-
tate majores, et infinito minores. Cujus aliod exemplum non