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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 133, page id 797435492:0379
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=379
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

E. F C T. ZIII.
GZ, CR media C:C, bimedia G MI. trimedia GVF. prODOTtRS X-
quationes explicabune hae linexe. Nam (i A. C, (vel (,Z) vOcetUEA;
erit BC (vel CR) == a - b, _ CL9 = a a = ba; e CM cab.
= a3 = baa 6Igq = a  - b a.
Not
2. Ducta A D ad AIperpendiculari, _ F F ad AI parallela, (
A E ponatur aequalis ip(In; CrUNEF R, P. L, F M, P. N radices xqua-
tionum respectirx, seu aequales quaesitis a.
2. Ouoniam ordinata GK C: L, CM, CNI a termino B verluS I
intinire excrescunt, semper haberur una vera radix, de unica.
3. Cuera BL L est hyperbola agnilatera, cujus axis AB, reliquae
currae sunt hyporboliformes.
4. Si A B bisecetur in O, trisecetur in P, quadrisecetur in 2, du-
canturque ad A R Parallela OT, P V, 9Z, erunc lx currarum BL. L,
BMM, BAIN asymptoti.
5. Flinc sequitur in secundo gradu FOrC a L n. ] -; in tertio
a= n.)
; in quarTOA = n . )  .; quod sin Patis magna CIE,
istx inxqualitares ad xe qualiratem proxime accedunt.
6. Verarum in his radicum habetur minima; scilice ipta AB, vel b.
Series tertia
b- a = 1.
Circ
eto bo 
baa - a = n
ba a = 1 aC.
Sit. LLB = b, e anguli A A _ DDLL Mmirecti; cum currE
ALB, A MB, A N Bcales, uc ducla lccla CH aL acique
derpendiculart (quae lincas expolitas lecet, ut vides) lcinter AC
P18, 280.
PeuC,Z) _C. R media Cile num M, trimedia ON: prO-
Politas xequariones explicatas dabunt hxelinex. Nam polito fore AC
b aa. CL4= bid 
=a, exit GR = b - a; lG = bB a a: e 6 N9=
2TOt.