# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/797435492:0342
# Permalink to this reading: https://leibnizlegible.com/page/797435492:0342?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 108, page id 797435492:0342
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=342
# Source image: https://digitale-sammlungen.gwlb.de/content/797435492/jpgs/default/00000342.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 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. B C F. ZV
Hinc noro spaTIO ARL D COBNOICEtUT CUEVE AM B quanticaso
ZVII. Irem, posito rectam TM T contingere curram A.M B, Fa-
Etaque 6 v =- BC, compleroque Rectanculo a 6 y ab, SIEcurraO XX
ralis, ut F X ip(I P Y aequetur; erie spatium Cintinite prorentum)
ADO X X aequale Rectanculo abrit.
PTam MBT. NR:: ZE, DA; HOC CAt RV. FO:: F Z. HB. _
Ar X H B = F C: X FX. quare liquet.
Elincrursus, explorato spatio ADOXX curra A M B innorescet,
ZVIII. Duin adsumpea quapiam determinara (2, _ Facta rect a C s
26T. =R; SICvEraO X X talis LIE, VEM F. MP:: R. PX; eric rectan-
culum asste xquale spatio ADOZL. ac inde comperto hoc spacio,
curra prorlus innorelcet.
Nam MI N. N R::NIP. MF:: F Z. R. adCOque MR XR -
NV RX F Z; CCMpVZ pE = F GXFZ.
Compluracalia possens adponi; sed vereor urlixe nimis quam LuHt-
CerE VIdEAMIME.
XIX. Adnotetur Paltem, hac omnia xque vera Pore, nec absimili-
cer octendi, DOLITOCUEVX A M B convexa rectam A D spectare.
XX. F. X Ostensis autem met hodus Facilis emeroit curvas (deosuuar
nus) designandi, quae dimensionem admitrunt qualem qualem; nimirum
ita procedas.
Duamlibet (ribi quadancenis noram) aream trapeziam rectaneu-
tam, duabus parallelis rectis AK, DL; rectâ AD; & linea qua-
cunque X L. comprehensans accipesis. ad iltam vero sic reteratur al-
FeTA ADFC, ut ducta quacunque recta FEI ad D L parallelâ (quae
secet lincas AD, CF, R L punctis F, C, II) ad sumptaque recta de-
terminata Z; TIE quadratum ex FH aequale quadratis Cx F C+, _L.
quinetiam sic curra A Y B talis, ut ad iplam producta recta G, F 1, CIF
rectangulum ex Z, _ FI aequale spatio A FCC; eric rectangulum
ex Z, _ curVa A B aequale spatio AD L. R.
E que procedir methodus, etiamli recta AI Donatur intinita.
EXeMP. 2. SILKR L recta lineA; eTIE CUEVA C O F. Fyperbola
2. DiC dobn a . b orbntb Cuslo bbnbr tm 2d;  e n
F18. 2607
T6F.
518. 160
18. 262
X18. 163.
Fi8. 262.
ex 103