# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0139 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0139?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 70r, page id 00067993:0139 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 71v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=139 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000139.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 72 lines, status machine # Lines: 72 recognised, mean confidence 0.86 # 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. climetria centata, primm oper intergulationes un qiona C bterus per logari ibilitatis qectalis biius teneita per seices sit er convergente per orum peripherarum in circulum desinens cujus tres primi termini sint B. A C. P etc. Z. sitque et C componatur ex B. A uti E ex A. C et ita porro, ac ponatur A aou Unitati, quod utique licet fiet et in praecedenti ostendimus (C aequ. B: et Z aequ B. quaestio est an aliquando D sit numerus: seu an liceat ita st inpestigare polygo hujusmodi invenore polygonorum in erculu desiventium, in qua duo potentia alicujus termini aliqua termini tertius M C. potentia aequetur facto ex potentus B et A. in se invicem ductis, vel se invicem dividentibus. seuut C ad A. sit in ratione utcunque submultiplicata multiplicata rationis F rationis in Bad A ad B, secundum rationem numeri ad numerum. seu ut faccta aequatione seu C aequ Il B(A (9)B sint 8. f. g. numeri. CX. CL HX, CMB xad. LM d. LPpy. MN p y - C. 2P 71 Sae - x . y - e 1 a - X- 2d ∞- d2: Eig Cp8t Ergo e+) Sa -X - Sae - X- 1d - d Ergo NP BC, (d + a- x + a - x - 2d x ( 4) - 2 Ya - 2aX+ X - 2adx - a d a2der d x brenius eer 19 - (9- r - 4 Est d’+ et eH29_ - r ( (3 - 2(4 - 9r- 9d C45 29 + r + d 4 Y d + et Ergo 29 - Y. C2 p. Es9- qu - 9d (+9- a91) - 4gC+ r + 2rC +77 (4 q. 49y - 494 a (adr) Eon a-X 4a d 4dX) ergo Ct - idx C + d X p d X + a dx adra ra 9ta + 2a7 seu C = dx + 2X = 2a + + 4 dX =a 4d xa + 4X = gXa + 4 a+ = 44equ vel C. 2dXC + da p0. +q -a P.Y ax ad L appelletur aX - 2X 4 2a +2X et fiet cY) 5 + 5- aaed seu s’ est quod LP q dupl miantur ctum quadrato mediae proportionalis inter ML et LC. Mn serie qualibet A. B. C. D. E. F. secundam quandam legem contimata Et haec est genaralis determinatio ipsius NP ex ata diametro ese circuli et punctio L. M. seu rectis eL. L M. Jam ponatur. radius CR dicidi in quotumque puncta ita, ut exmali punctorum intervallis aliquot datis habeantur eliqua ex his per constanteu, relationem et viu tertim, ex si et quodlibet Cintervallum rursus similiter. dividatur aris alia intervalla, secundum eaudem legem sive relationem vel etiam seundum aliam aquationem vel relationem; modo series quaedam sive lex servetur in ipsarum euntatarum relationum progressu C et intervalla, fiait tandem datis quibusliset minra 2b Martis 167 schedu II.