# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068164:0154 # Permalink to this reading: https://leibnizlegible.com/page/00068164:0154?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11 # Folio 77v, page id 00068164:0154 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 78r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068164&page=154 # Source image: https://digitale-sammlungen.gwlb.de/content/00068164/jpgs/default/00000154.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.88 # 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. ireu curgae il componibur ex parallelogiammis quorum latera sunt ordinata et Elementa curvae; sed haec paralle logrumm sunt ad rectagula sub adigatis et curgae lementis ut curvee eentu ut axis elementa ad curvae Elementa urvo lementu ducta in ordinatas aquantur curgre momento exaxc diplicato sed ductabus taque facile est ductum solidum exhibere curvae momentis proportionate. Non lamenoque facilae est oicissum extribere duct curvae momenta ductibus propit hionalia est Un datur A Momentum AB ex AC iea datur est eliam si superfirie cylindrica fiat, ubi BC in sistat ipsi c ad angulos rectos quamlicet etia metiri extensione curvot in a rectam, hiuc, si ipse BC licet se non habeant dest, ummabiliter ad AB, Cauox se haberent summabiliter ad curvum AC posset haber summe ixtensione curvae yAx= say SX + y =Z Aq = X Ax + ydy: Sxq si jam datur Centra gravitatis omni Z, seu omnimm cd datur et area cuv. Ve est per linea per linea centu gravitatis. ipsius AE generantis et sua puncta suas partes duante mota relinquentis. itaque noventuo oma recta AE si ductus ABC, qui ducentdus in ipstm Bed ubique detur centra gravitatis ut portionis EFC et et praetera centum gravitatis omniim moti– Telictorum rectagulorum ut MLN ∞qu. GHF. per viam centri orun simuil haberetur area ductus datur autem corumcenti grav. a cd. distantia quia datur puse ductum in ipsa ABC sed distantia ejus a CB non datur cum invenicada v sit per ipsum ductum pro inveniendo centro gravitatis ipsius ABC etiam latis methodus nom plane et mira servire potest. Circa F moveatur ABC, donec quiescat, palet quieluram cm G centrum gravitatis in linea directionis n FG) nonalioqui tunc Grursus eneret. idem autem habetur antem hic pitque etiam alitem quaerendo ipsoum rect parallelogiam rectangula si placet A LM, dacendo in mediorum junctorum N, distantias NG. idue generpliter et sum quaerendo, quando summa sit omnium possibilium maxma. Ubi alo egrere evenit, ut gneraliter ex X, sed psimma sit (xd Bydx=datur autem mutato ansuito mulatur quaelibet G. mulatur lamem ex quoda principio novo. Unde vereor varietate varelalr g liespat ordinata curvae ex omnibi toucto Sq dx compisut quarrendum est maxima quod sit si langens seu deo quaeretur et aequalis ponatur nihilo Duplici hujusmodi sussensione habebitur intersectio s