# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175905688X:0286 # Permalink to this reading: https://leibnizlegible.com/page/175905688X:0286?run=74 # Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178) # Folio 264, page id 175905688X:0286 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=286 # Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000286.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine # Lines: 38 recognised, mean confidence 0.87 # 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. 264 FR A N CESCF 2 SCHOOFEA lidorum maximum. Quonia aute XX L xy = yy eAt e p 1 tu vel y y ∞ p = X X = x y uIL. PeF X vel etiatm X y Y ∞ P X - X3 = X X y: ITinc li pro xry dicti solidi xx v. L x py lubStIEatUE P X = X3- ∞X V, habebituE pX ∞ 3. GHOCITCA VE p X = N 3 AAEI AXIMIUI Solidum, quod esse possies incelligatur ipsum aequale solidog: erir- que x3X px - F 9∞ 0. Deinde Factâ x D e PCu x = e ∞ 9, MIIL ciplicox = CPCKX Les _C HEXX= = ex L ee ∞0. Ouam ruruS, uc eandem Formam habeat cum praecedenti, mulciplico perx L’, de exlurgic X 3 X = 3 e Cx + = C3 ∞0. Fx quibus binis aequacioni bus, si linguli cermini unius cum lingulis terminis alterius com- parentur, eliciox ∞V ZP, _ g ∞ 3 P V =P. Eodem modoinreni cuTY ∞ V 2 p. Ouod iplum monstrat, ad dividendum p planum in tria plana proportionalia, maximum Polidum, quod ex ductu summae duorum priorum in latus secundum rel ex ductu duorum posteriorum in lacus primum gignitur, esse illud, quod obtinetur diridendo p planum in eria plana ae qualia. PF Sic de aliis. Caterum, cum allatis exemplis Patis superque sic ostentum, qua ratione lineae rectae inveniri possint, secantes lincas curvasin Geometriam recipiendas in datis punctis ad angulos rectos: Iu. becetiam afterre modum ducendi illas in iis curris, quas pro Geo- metricis pari jure habere non licet. Oualem Dominus des C op tes excosicarit, atque jam pridem ejus exemplum R. P. Merlen- noperliteras ostendie in curra, quae Crcloides sire Prochoides appellatur, quam Vir Clarissimus, Fuanselista Toricellius, Ccri bit a Galilaeo Calilaei, praedecessore suo, primum fuisse conside. ratam; cujus que ulteriori speculationi iplum poltea, ut de Virum Celeberrimum, D. de Roberral, Machematum in Academin Parisiensi Professorem Regium, se addixisse novi. Originem au tem ducit ex mocu puncti, in rota sire circulo assumpri, super rectam aliquam lineam circumroluri. no 11I