# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797435492:0293
# Permalink to this reading: https://leibnizlegible.com/page/797435492:0293?run=74
# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 69, page id 797435492:0293
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=293
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000293.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.87
# 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.

R E C F. V ITI.
talis; ut a puncto D ducta quaris recta D YHI (guX rectam B R se.
CeE In EI, Curram D Y Z in Y) sic perpetuo subcensa D Y equalis re.
Ax BHI; OPOTTET CUITVX DY X cansentem ad Y rectam determi-
HarC.
CentroD per B ducatur circulus B RS; cui occurrat recta Y F R
ad B R Parallela; _ COnECTaTuED R; eAEque (PFOPEEE ang. DY F
=an9. DHB; CDY = BHI, ACD R = D B) trianguluM RDY
triangulo D B II simile ac aequale; quare R Y. YD:: (D HI. HB)
:: YD. Y F. unde ex pracedenre determinabilis est recta curram
DY X tangens in Z.
XIX. Sine itidem rectae D B, B K positione datX; nec non cuEra
BX X calis, ur a puncto Oprojectâ quacunque recta D Z (quXe re- F18. 53:
ctam B R sCcet in EI, curramque B Z X in X) sIc perpetuo HI X ip(I
BII aequalis; designetur oportet recta curram BM X rangens in X.
Concipiatur curra D Z Y caliS, UE PerpetuO SIEDY = BH (calis
nempe, qualem accisimus in pexecedente) hanc verotansat recta Y I
in Y, ipli B R Occurrens in R; tum asymptoris RB, R Y per X de-
seripta censeatur hyperbola N X N; ad quam uecunque projiciatur re- a) Constr.
eta D N (lineas expolitas secans, ut vides) FAtque jam OM (a) = (B) Convers.
DI
(a
=) ON, erBO hyperbolA NXN CUrVaHI BXX 9. Lect. VY
tansit ad X. Ducatur itaque recta X S hyperbolam N X N concin-
vens, haec iplam curram B X X quoque continget.
Carerum Cacis pro hac vice nusati videmur; cessemus aliguantisper.
l BCF. 
1o