# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0323 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0323?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 162r, page id 00068195:0323 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 161v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=323 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000323.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 109 lines, status machine # Lines: 109 recognised, mean confidence 0.69 # 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. b a 3 1gau a 15a(+4β = a + 34 (, 36(3 1B + AB a( + aβ+ 43+ + 4a3 +, 9 9 a 1 45a +3dH at +5a + 4B= at q sin 14 a C +48 a B2 + 10s B. +, 143 a + 14 a B + 49 a B 36 β a + 15β si fuisset Y in Hyperbolu 5t a - a - 1 - y + a b a + - 4. ( a +4 + Yd- Y at y a =a+ y+a -a + aY- y1+ ay ec= - y o =y2+ Y - 7 3000 70000900 100oovououe a+y a 5a β+ 15C5a B +aβC 8a B2+ + a (4 +72b 163a + 14 16 a B + 784 a 57 576 BF) 2 110 ix 24 35 is le is hac st r s rtay S fa 13 opp 150p Vpa oB C) e1 3 rg () 6e61 +β 1655 25t (3 4096β 6553638 dsi det. -9)Z a a a tuie 43 + at alera ae aa = y6 + Yea 2 94 iag 25 3 25 ec 9+ 31 34 2 + 1 + 2 etc 9)= = s 24 hasit : B 5+ 3. 3 40 (19 5 = - 75. + =, + E + omiltaturque a velnt = 1. 9- A 14- 1 8 aety= atsequitur. 2e + 1 = 6 + 4 3_ a 1- 14 a +Ya 5535 35 7 6. ec. Sc in Y BE + ar dotur untam a X, 15 X 140 Maxima Y = a quaeposita y. etilo magnitudinis linea exa - 2a hec 9)merto onnum a Xa.) Multiplicatis omnib per difie. Nota Hyperbolocidis subicae. Iiiu et - 2, + - a A a ade dec 4 Ut has duas smnus conprautirus, puo ad decitum a u a Sed posito A- Y. a = 1. et magnia y = Ab. min a gu a 4)3) erunt producta omnium ya = b - = b+ = b = = b 2 (.) aty ral iaq 1n 6. 61 86B 34= 1 - = + 4 A vero 1 - 2 V+a a rya L - 3 + = - gc. Est autem y - C. - P. 33. et. a at 55 a arys ficer instgibile, fet. = b b2 + ib = 5 bsi pisitiltati ti 0 restabit. ib a 36+ 6+ : b s Sesite jam Y vel potius ob a fiet 1 - = b 4+ 3b- = b + Lb. Quot sblcto estabit.ne b is e. est. et 17 1 b t 6... .20 2... . . 16 atL a +4B ytae 6a B = 613a B + 636 a( 21 a ridB isia β a+ 5aB + 4 aBA) g a 4 45a 4, 36 (3Y = 777 197Y1 ergo X a+y esp. 9