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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 285, page id 175906937X:0309
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=309
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000309.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.86
# 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.

L. F B. IL. C A P. TII.
283
dem FTyperbola centrum C punctum. At vero cum ex ante di-
etis eriangulum X FIC omnino sit cornitum, urpore laceribus
REI e HIO ansuloque ad FI Tubiildem comprehenlonoris, erit
quoque cognica ratio lateris R HI ad KC, hoc est, ipsiuSOM
(qua Per C ipsi K L aequidistans incelligitur) ad GB, quae (IEUE
a ad 1. Ouare cum OMI CCHHTL indetinite (IE V, GB quoque in-
detinice concepta, hoc eA, qualibet diametri portio, inter Cen-
trum _ ordinatim applicatas intercepta, erit =. Cujus quidem
interCepEa quadratum cum juxta Formulam Regula unum aequa-
tionis cerminum constituat, per mulciplicationem aut diritionem,
vel per utram que ita reducatur cequatio, ut in eadem quoqueidem
100
quadratum, nimirum
a inveniatur. Ouod quidem ut cert a
mechodotiat, praedictum quadrarum rectae CB indetinite con-
cepex, hoc est,
1100
aa diridatur per aequationis terminum, in quo
vrEre limpliciter, sire alia Fractione attectum inrenitur, ac per
inrencum quotientem tora ae quatio multiplicetur. ut in lupra po
sito exemplo, 5 21v0
 dividatur per vr, hiet quoriens =. quare
cota aequatio mulciplicanda est per ii, productum que diridendum
PCFAA, IEaVEEZE 2122 iivu iihh, idd L iicc
Ta = bBd aa aa  fa-L bB. Unde
Et juxta Regulam semi-lacuS ExAnLVexsuM HaE C F vel G C D
ribb iidd - iicc
aa
fa = bb atque ratio transrersi lateris C F ad re-
CtuI FN, uc ii ad fa L bb, et iisdem laceribus, diametroque ac
centro jam inventis (Typerbole describatur PD, Sccansrectam
AF. vel K A productam in L: dico curram VD esse Locum qua-
TIEUM.
Sumpto enim in eadem curra puncto urcunque, veluti D, du-
Etaque DF ipsi A K parallela, caque productâ ue secet rectam
AEL in L, e diametro OB occurraE in B, si eadem D F NOCeTUE V,
erit ex ante dictis DB ∞ Z. FA auTEM, UE jaM annOTatuII, C B ∞
3 aeque ex hypotheli O F Peu C C ∞ 1
ribB = indd = 2icC
aa 5a = bb
ideoque BC ∞ = + V rihh = 11dd = 11c0
A 
Sa = bb
2C B