# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068049:0090 # Permalink to this reading: https://leibnizlegible.com/page/00068049:0090?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 4 # Folio 45v, page id 00068049:0090 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068049&page=90 # Source image: https://digitale-sammlungen.gwlb.de/content/00068049/jpgs/default/00000090.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.79 # 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. y. Vr-yy = 49 du: WY ex seu dy r ggrrdx - yyqqdx seu VLy: Ax Y= Ggrrdx - 9yg9dx Et ex +9 8 et 3 tollengo d fut dy. 4 fit: dys ver.gy 9urL 9qurax- 1499d (10 seu (ygax=, YYX = dy orrggr:C autem lidum rotatione ipsuus AD cina _ est) Es gdx ut constat 1 seri Ergo solidum rotatione ipsius Ad H gentur est ad ci est ad Cglimorum circumscriptum quadralorum ab sidimi ut summa axo uppli caborum est seu yyd est quadiatum maximae ductum in altitudinem. seu ut seu ut Syyax ad vyx. seu ut Lr.q irix. du firgus adto colindere dimprdcuptus est ad seciret tad solidum ex AD comnscrism, ut rex rectanent ut sut 1d solidum sub qdactalo radus et altitudin ex demlo bu sergurriqu id est) demto sem solibo quod sit absolidum. sub sepisentidento ANNA et radio a ut radius deo arcum quadrantis perrecum de solo solicta seb colico revolutione totius A BL A circa quem oenito agitur tunc nicum sit = Yg:2 d e et ratio dicta x si. abibil in hanc: Y3 - Y. 23 id est 122 e y =Y=, et say trryus rrX - (dySregy rV: 43 i 2 yyx, si du Vet L :rrajus gX dus 119rr- 99yy + r: rr. yu quo pendet ex unvo illipeas cmus summa penet ex di mensione curva Ellipseos. Et quia es du + ex sibeae curus proportibbalis nempe, cunqus ordinata si a Y,9r-qy 11. rragu, Z, mromenem datur AC dumensonis ex AB lngse verticis itaque et curvo hujus neenta etca axem nempe +ZSde) yZly id enm ostendi in fallor redum ad aneam circuli simensionem; itac habitur et curvae nonrae syt di circaadem ABvotulibn generati superficies vadratod