# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0154 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0154?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 132, page id 175905688X:0154 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine # Lines: 61 recognised, mean confidence 0.77 # 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. 132 FLOR ZME ON DE DE BE AUNE 2673 -L y4 Duod erat laciendum. Vel etiam sic, imaginando curram R M carsi a circulo. cujusradius est MI N. Omminour inhujus Ceo. metrix Mechodo supponitur factum. Teicur quoniam habemus, ∞v ac proinde v D, F. by + f. supponamus, quemadmodum haec GCometria requirIE, A N ∞V, _ M N ∞s, ec erit quadratum ex L. MI, hoc cA, N2, ∞55 - vv. L 34 2vy -7y, dcideirco, +. hy + s. ∞ s5 = vv + vy = yy. Vnde xquatione ope mulciplicationis ordinacd, dirisaque tora summi per 2, exurset aequatio ralis: yt. L b93 F = v vyy -F bvvy + = bb vv ∞O. F Ebb = bbv - = bb55 2bv = b55 Jam vero mulciplicando yy - cy- ee ∞0 Pery y. L fy - 8e. uc alceri reddatur limilis, proreniet lxc aequatio: 4 57 88). e + e887 ec88∞0. es OUX SICOmPAretur cum pracedence, quancieates secundi cerpi niprabebuncf∞ b. f e = v; ultimis8 ∞ B2 ∞2 B252 b222 - b252 202 ;de tertii = b e 3 eC f 2 ev D = VV. L = bb - bv - 55. Ac proinde si mulcipliCemuS EOTM Per 2 eC, producetur L bbVV bb55 t b C3 et - + v C3 ∞ vv eC- L bb e C - + bvee- ssee, sive bbvV - = b e3 - et L + v e = DvC C - bb eC 4brec Dbbssumeess, de per consequens 6e+ 4V e3 = vv ee bbvVD 55. -+ bV Ouartus terminus dabie b2 ∞2+- b252 e bee vec 2 e3 ∞ b vv - bbv b5s. Vnde mulciplicando totum pere, Ret -bbrr.- F bb55- be3 -- Be3 - F et ∞. + bPV e - bbve besso aC pet AC per Hi VIPInC de per e dc dett Verualic Vbilim al IDId. quin Deno pleve re coguium jus rodice Suppon locet WtDIC et