# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 282, page id 175906937X:0306
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=306
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000306.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.85
# 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.

282
E L. F M. C U R V A R W M
aut ejusdem ad duos rectos supplemento. Deinde, quoniam Z et
∞y =c, hy Cupra lineam A P. exlurgere concipiatur, ducenda
quoque est supra eandem recta R B ipsi A P. Parallela; Ita UIEParS
rectae AKE, omniunque ipSI aquidISTANEIUI, INtEF AF _ R B in-
cercepta, reluti AK, aequetur ccognita. PorrO, quoniamv est
∞x L B, producenda est ip(a BHE peF R usque ad G, ItA WL R O siE
∞ b. Duo Facto, erit C centrum ipsiuS CUEVX, et C B una ASym.
Deoton, critque altera ip(i A R parallela, ut ( FI. Unde SI juxta
Regulam praedicti Theorematis X L in recta C+ B (UIATUIC C X-
qualisfcognicae, ducaturque C F eidem C C aequalis, ac paralle-
la reCTX AK vel CFI, atque per punctum F, ACympeotis C B de
OFI, sive A(ymptocoCB arque ad axem CF, IIy perbola delcri-
batur FD: dico curram LD fore Locum qualitum.
Sumpto enim in ea puncto utcunque, reluti D, duct aque DF
ipsi A K varallela, quae secer rectam IE B in B, Si cadem DF. vo.
CCTUTY, exIt D BEVCDF. = F B ∞ y =6, id eAt, Z. PA autem et
OBEIrO AF L GK ∞ ~ LB, hoc eAt, V. OLArE CUI CX HaEUTA
Elyperboles rectangulum C B D aequetur GC quadrato, erit
quoque ZV ∞ ff. auc recticuris y = cloco ip(us Z, de x L h in l0.
cum ipliusv, atque ee =ch locoff, Cric yX = CX - L By - cB∞
ee - ch, hoc est, y X = 6X F hy ∞ ex. Ouod erat propoli
TuIo
LiIB