# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0215
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0215?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 191, page id 175906937X:0215
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=215
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000215.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine
# Lines: 66 recognised, mean confidence 0.81
# 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.

Autram.
ed oia
Conclai
ipee
Ltea
GHTHp.
ue e ipte
Ltspe
u 
bitariam
ip(aHI
EraM Ca
eandem
On eteo
Cat PIO.
Ula, qua
senti pt
ene
H2qu
AFaI
Daqua
dimidie
b LB. I. C A P. II.
Corollarium 2.
Pacet porro, rectam, pua Per diamerri cerminum ducitur a
quidistans ei, quxe in L perbola ab eadem diametro bitariam se-
catur, id est, ordinatim
applicatis parallela, FIy-
perbolam in dictocermi-
no continoere. (IE, (1 ad
diametrum A N ordina
rim applicata sIc BND,
quae producta ACympco-
TISOCCUTFAL IN E QE F, 2C
per diametri terminum
C ducta sE recta C C II,
ipsi BND aequidistans,
cum aequales (ine N F
_ NVF E: CFINE 2 9VO- 2 per 288 5
que CHI _ C G X. Corol. 5 bu-
quales, ideoque 6 CF7)u5.
per 9 quin-
yperbolam contingetti, ex 4
n C.
Oordaattam 3.
Sexti.
3 per 6Dit
Jus.
senti parallelas, a diametro per tactum ductâ bitariam secari,
ideoque ad eam ordinarim applicatas esse, sed de non posse plures
rectas in uno eodemque puncto FIyperbolam contingere. UL, I1
contingenti GHI parallela sic BD, Asymproris occurrens in P
_ F, due a per tactum C diammetro AC N, quae ductx BD OC-
currat in NI: quoniam + GC, C HI aquales UIME, nCC NON F. HI, + per 6Bu-
NF 5, erunc quoque (dempris aequalibuss FB, DF, d BN, ND jus.
5 pero quin-
aequales, ideoque de ad dictam diamerrum AC N ordinatim aP. et ex a
plicata. Ac vero non posse aliam rectam praeter G FIFIyperbo- serti
lam in puncto C contingere, patet, quandoquidem e omnes ip(i 6 per 2Cor.
S hujus.
aequidistantes in EIyperbola ducta, qua que aliae eAenE quaim, per supra
praedictae applicacae, bitariam quoque per eandem diamerrumm demonstra-
diridereneur 3. quod tieri non posse superius s oltensum clt.. ta.
d in Cor. 6
C. X- 5 hujus.
Hlincliquet, non Polum omnes rectas in FIyperbola, contin-