# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/175906937X:0300 # Permalink to this reading: https://leibnizlegible.com/page/175906937X:0300?run=74 # Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178) # Folio 276, page id 175906937X:0300 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=300 # Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000300.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 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. 276 LL E B. C U sC V A R U M que Aisce AF, AB Hy perbola (, D: dicO CurraM CD eAe Locum guaelicum. Suimatur enim in eadem curra punctum urcunque, velucD, per 3pri allelaque D F ip(i A B parallelâ, erit ex natura Fsyperboles re- esp. Ult. PrI 8552 2)25 Etansulum AF. D rectangulo A CC, hoc est, quadrato ex AC aequale. Ilinc, cum A E. sit assumpea pro incognita quantitate x, li LD rocecur y, erit y x ∞ ff. Quod determinandum, demon- Arandumque erat. T E E O R E M A XII. Propositio 13. Si aGal C= D N X = ff, exit Locus quaesicus li. nea Llyperbolica. Auc enm lipsis aequalis est aut inaequalis, ee (I ae qualis sIE, erie su- perior equatio eadem ac si eAet yy ~ X X =fF (quod semel mo- nuISC (UFACIAE). AC Facile apparet, si ipliusx initium im- Mutabile sIt pun- Ctum A, atque ca- dem x se in linea A F ab A veESIIS F indetinire extende- reincelligatur, (IE- que angulus da- EuS vel altumptus, Quem y ec a CO prehendunt, aequa lis angulo ACF, ali describatur ? Plyperbola, ut( D. CaBdCIL CUEYAI C D FOrC LOCUI QUXSIEUM. estensa sint. SUIIPtOC nim in ca puncto utcunque, veluti D, ductague DF ip(I FC Parallela, crit 3 ex natura FIyperboles, cum CG_ CF 3per 10pri- supxonatus aequales, quadrarum ex D P. agunle rectanonlo oxis Bazies. C. L. Ce quod sITa A C quam A C FanE ∞0 fCOgNIEX, aC C F SLMTatE 2CC, centroque A, d transversa diametro CC ip(iC F lateri mi Bujus. per est quae reclo live Parametioa