# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067956:0034 # Permalink to this reading: https://leibnizlegible.com/page/00067956:0034?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 1 # Folio 17v, page id 00067956:0034 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067956&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00067956/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.80 # 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. iaa = dy: dX = n: fit XX + yu = naa. Ergo inciditur in circulu rgo 1727, eti (9) 2(4) centro A descriplos antumque opus est motu tali, ut duni punctum Y transit ex 2 y insys) simul circulatio vertigo sit tatis ut fial H(y) ad H y ut n ad 1, seu ut jam AY = an ergo fieri debet H (y) ad H y ut quadr. AY ad quadr a Xx + gy 2d7 = xdax + ydy dy: dx = 27: aa n- dx + du = d2 + deo (G: aa dg. ex = _ Z7 Y 1y. 2(y) = dcoz: a y Tallamus dx et du fit dy et y fiet dy = dZ dx 27: aa. seu 3d7 = xdx + y dx ZZ. 2a seu dx = 4Zd3: aap + y27 et dy = _ Zd7: aax +yZ2 e 2ug. qui valores substituantar in q. dx t = di +dco Ziaa restabit aeq. in qua X et y unde tollatur y ope cq. 22 = XX +yy, etfiet aequ in qua X, Z, a, dz, ded haec differentietur e collendo X et fet aequ. in qua nova in qua de AlX, et seu habetur, A, de, deo, ddzue, daco, a, ita andem tolletur X, y, ex dy. y- _ dyilx fy a du x du: W = vdx Wdy -ydu: W = dx 7 (:W seu dy - yvax = dxZ seu dy.dx ZF27 XX+ ye