# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0180 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0180?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 90v, page id 00068255:0180 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 89r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=180 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000180.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 123 lines, status machine # Lines: 123 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. cavam movi pados series et periodos nachami quos hic attentam conjungantur, et singuli bene elaborentur, haud dubie mirifici usus haec tractatio erit. 000X76500 9000111000IH, e equ 000L aequ. d 001 00001100011000111 001 00001IMI II er seu 00014000000 c. 0000111000111000100V1I 00000181010501010101010101 et o 00d10101018101010101010101 0000001010101010101010101 0906000101010101010101010 d01000181010101010101 10 0010 0: 000 vi X∞BX Y Y Y ∞9 v9∞p CExsel XNa 60OOI1OOOTL1 ODOTOVOIM 0000111000111000111000111 ob 30010100010100 100099 100:00010101 oaeo es d= L aequ 20- 180 1980 1080. aequ 829 aequ000, 00d1000100e cir + ... . . .. 000111 11100 00011111 Nunctandem ausam errors carculi deprehendi cum sunt exempli gratia sex unitates tribus retro locis punctatum est, quasi esset 8 seu cubus a 2. sic ergo nunc A2 3 4 567 8y 101 1 13 1 101 0000001001, 4001,0081, 0001, 4601 900(900 iagrendum in harum puncta 009,00DII1DO6IV09011190O1I CL tionum periodum cuius magnituo circuli decimalis. mpl. Sasinus enfia 150 si daretur tangens rationalis ca arcus cognitae ad circumferentiam rationis, facilius haberetur et BA, FBNGB AC R 3D n DII sec sep sec 1 M-XX. Aer S Ergo tr-txp rS. 61 XC sec Vr. sec p Bt 2YX - XX = X . rr ret sec r- r. r-X) r- tr+(r ir X A F H Ergo X B +r ast pst . Ergo 6, Fo ETX-XX ErX 2Y = X Sec: t: r:: r: sin:x:: D: X: s- B.: d - D: sec- r. D. sin aequ 2ExO XX. sec aequ. r AYtE s SGX X sou sec + -D el rst Sin 2r-x. Ex his jam sequentia: aequ sin sec: Y :: Y: r -X: + - D: B. Hinc sec aequ YY aequ. Y, t.d. Ergo BY eq =X + -0 rarsus sec: +:: B: X. Ergo secpi LD . irquise L d aqu r. t. D r- X. Ergo Z - 1 110 F6N rr XII v. .X 1r+ tD. Xp tOr r- Or +0 rr+toI) Ld Ergo +OY Y+ -. dr. Ergo (t B = + D ⊓ r + - 2r B (+ Fd. seb Yr+ 16 11 Ergo F -2_. siu D2 + 176 aequ r. Ponamus jam t esse camgentem Y2- D vel + diam, rad B1) rD r- B sit alicuius gradus qui geometitce hrabetur videndum an tunc possit A fieri latronalis. sit Afiet: Derbaego investiganda ergo intalibus generalis relatio inter ret l60 Ergo