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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 116, page id 797435492:0354
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=354
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.91
# 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 E C Y. RII.
ta reeta B D. CUEraM VerO tanSAE recta B T, SIque BP rectxe BD
particula indetinite parra, ducaturque recta PO ad D T parallela,
curram Eccans ad N; dicor HI ad SI Grarionem habere majorem qu’a
vis delionabili, pura quam R ad 5.
Nam SIE DF. F. I:: RS; connexaque recta B F. curram secet in
C, rectam P Oin R; per C vero ducatur F H ad D A Parallela.
quoniam isitur BP ponitur indetinite parra, est BP = 1 BF; adcoq:
P K  PN (nam subrensa B C intra curram tora cadit) ervOP NI.
NOE PR. RO:: D F. ET :: H. S.
IV. Elinc, si basis D B in partes secerur indefinite multas ad puneta
L; _ per txc ducantur rectae ad D A Parallela curram secances pun-
ais F, F O; per haec vero ducantur Tancentes B(, FR, PS, C: Y
Parallelis Z E, ZF, ZC, D A Occurrentes punctis . R, S, T;
tiabebit recta A D ad ONCS InFEKCEDTAS FC, PR, 61S, AT (C
mul Tumpeas) rationem quaris altionabili majorem.
Nam ducantur reAX F Y, F Z GV ad BD parallelae. Habene
isituT reCtRZ F, Y F, XC, V A ad rectas P Q, F R, GS, AT (CIn-
sulae ad Cingulas libi in directum politas respectire) rarionem deligna-
bili qu’acunque majorem. ergo limul omnes iltx ad has simul omnes
rationem habent designabili quavis majorem; hoc est recta AD ad E C
J FR -] C S-) A T ejusmodi rationem habet.
V. Tiinc inter computandum, omnes F C, F R, CS, A T simul ac.
cepexe nihilo xquivalent; seu rectae Z. F, LG; _EZF, YR, _C. X.
quantur; itemrangentium parricula B Q, F R, _c. respectiris curvae
Porriunculis BF, _ P, _C. Pares, de quasi coincidentes haberi porsunt.
quin ec adlumere turo licet, qua cridemier his conxrent.
VI. Sit porro curva quaeris AB, cujus eAxis AD, _ ad hunc
applicata DB; xquisecerur aurem DB in partes indetinite multas ad
puncta Z, per qux ducantur rectae ad AD parallela, curram AB
interlecantes punctis X; quibus occurrane per ipla X ductx ad BD
parallela rectae M E, NE, O C, PHI; SIE autem sePeNtO AD B
(rectis AD, DB, _ curri A B compreheno) circumscripta ficura
ADBMXNZOZPXRA major spacio quodam S, dico sermentum
AD B non esse minus quar S.
Nam si Eeri potest (IE AD B minus quam S excetsu rectansulav
A D L R adxequante. _ quoniam A R est indetinite parra, adcoque
minor quam A HC, liguer rectangulum ADZ. Rminus elle rectanguio
ADLR
E18, 274
E18. 275.
F13. 27C.