# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0284 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0284?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 143v, page id 00068196:0284 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=284 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000284.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 74 lines, status machine # Lines: 74 recognised, mean confidence 0.76 # 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. 5 et TDH CNHX et E a= mApa CLag.X. LA aequ yp Cs VraX - X a 1 1CL pX. Cx DC a R AMa LN a- XII Ergo TCp ax et DDp a-X +1C(4) D seu a ponamus a-x aequi). fit C1Z. Ergo TCp, a - a2 + FV a +a (+) d C 1 + a (+)d a - a a az a2- aZ L) dz a= a 1 2 1) - d acar brevius: DDC simile NC Ergo a Des DC dl a-X Z Ergo erit a aX TEN a-X Ergo PCH a, ta. seu DC ad GC DedIIX NP ED + a 7Z(+) dG. ea vocetur uno nomine cd lius quadrato addatur quadratur ipsius SD, fiet: 1co +s2 quae est altitudo hianeuli Eleimentalis super ficiei conicae Evup seateni ent quae est ad hyperbolam. Ducatur in basin, seu in rlement arcus circuli quod est. ad et fier. (a cor v. seu sa- fier: co + pr ar- Taroot, ubipro 1(4)d scribamus 8. et fiet cop +a + qd.adeoque a a Q+ u 2 l n1 seu Ed p + a fy (+) d seu spatrum onflatu V in punctis L axi CM insistentium sabit dimidium superficiem coni scalerum quaesitem. Ubi patet ut obiter dicam ad dimensionem quoque curvarum Ellipseos et Hyverbolae haec referri. fiat ergo recta e quae ad diameluum AM, recta SE est ad AL eaque recta A V. sumatur inde ab L. in LA si opus producta et per omnia eju puncta honseal unva planu hal curr Elaxe CL. contentu huic superficieiiente aequale. ubi parte ndea toti