# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0247 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0247?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 124r, page id 00067993:0247 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 80v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=247 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000247.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 83 lines, status machine # Lines: 83 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. yi. Ergo 2ap L 2xP = 2y. seu p = - 2a X 4 X. - jam per ipsa osdinata, dividatur per p. oritur differentia: PX- GI). Ego XL.G10- 1 XL WL quin Y hoc loco- T2ax +X L4 X2 atx= sraxga atX - agx Max+X, SraXEXD VaxX g a + Xa quae quadrabilia. Ium Xa - y. Ergo X4 Podum sul explantae epuse fignia S2aX (X axtX cy Tax fot Xa -y; vel Xa - 2ay+ 2y selfigura equisen entogenta figuuae sed aequatur semper ei figurae, cujus differentiae sunt raVI haec figuia fingipo d. ex data circuli quadratura, dabitur hujus figuit etsi minus Geometricae dimensioe ex data huus 2a dimensone. Haecautem figura pendet dimensione altrius. et vicissim et haec pender ex quadratura circuliqe est enm figura angllorum. sax +X Ergoquadratura hujus figuro, cujus differentiae sunt homogeneae figurae segmentor en quae est quadratux figurae segmentorum pender ex Circuli quadratura, videndum au hoc porro diffcientiae sumum Circuli to addatur Htume seu 1. fier a + X+ 2aX = ZaX -X - aliquem habent usum. Pome diffeentia 2ax + X a bet Hyprb. a 2aX+ anni circuli homgene fovsra cum aequatio qu in haxu aeus ut alibi demonstraum. Nolabile exemplum ex quo q aprare unitatem addi, si modo fractionis cujusdam nonmeratori addideris ejus denomina- raxtX a Xa-X9 DEiu auferatur ca, = Esus dist entt B est 2 v, ao 1= 2 fied. a - x unde radio: Cuoncuus labus a Sae as Unde fiet: a = X seu = X. Summa ergo henu figurae dabit f figniam cuu eqva sit Spatio uperbolice Symptotos. Syntomos. ctristices per grad. 1. seu sinu grad B9. sed ne funtine mrinali sit excundum. summns sinum conplti ex Tabulis, qui est 99984. cum ducam in sinum areus er um e primi gradus: AT452, fiet. ardatur be. B a b Sedo Circuli 2 grad. ductus in 30 999847 4 52. 199969 4 4499235 39199388 6996929 04, 5 56, 8 4 6, 527, 152, 663, 911551 875 847, 086, 6 98, 527,l5, 663, 911, 531, 87i 000,0007000, 000,000,000, 0, 000, 000, 00d 17, 449, 329 84 000000000, 000, 000, 008 1 quod a disca inta eectan ite ut semitin et 7452, 881 2 30, 5 72, 402,663, 911, 331 1875 diadus in Edhabit ipsum Entalum, Aotatum Ftud et dicctus in 90 semcucutum q etum cata in 3b0, fit Erculus daplialus, qui it M, _X N XX K Y X= A3, etr9Y2 4b9191, 180C arcus 2. guodo et tang. arcus 1. grad quo summa ducta in 1 facit l ector2. Grad dyplicati R. ea crgbende s 36, 572402663, 91, 1t, 150,6 1d4, 717, 287 3 83 434 415983 +69, 191 2500 C2. 35864469 17 172079917345956 25 62 830372 +B 0060649590081514 1,0 000 0 00 0 010.00, b 0 cp 10,v 0 0,000,00 porcat veritati conputire Tangens posito tantum R adco 1000,000 et sumto 360 vicibus tangente ot cocumfrentia erit B 7452 unius gradius, illes dabitur, 6283,800, hic 6242720 illud cucumferentia polysgont e ia i dum cm fumere en ren ay= ax LyX seu 2ay - 7X= aX, BIBLIDTMECR ACIREAE (2984 41000,009000,600,00d 0000000,000000,000 00d 572, 402, 663, 911, 591, 873