# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/746572255:0249 # Permalink to this reading: https://leibnizlegible.com/page/746572255:0249?run=74 # Title: [Danielis Lipstorpii Lubecensis, Specimina Philosophiae Cartesianae] Danielis Lipstorpii Lubecensis, Specimina Philosophiæ Cartesianæ (shelfmarks Leibn. Marg. 14; ZEN Leibn. Marg. 14) # Folio - , page id 746572255:0249 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=746572255&page=249 # Source image: https://digitale-sammlungen.gwlb.de/content/746572255/jpgs/default/00000249.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 recognised, mean confidence 0.93 # 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. LFC OR BENEVOLE Fometriam excullum innumera peperisse commoda, eadem neglectâ D laream malor messem es iliada propullulasse, historiarum monu menta testantur, Idem que paucisheic firmabo exemplis. Pythacorae B8- quoieer fundanum esse oprimarum mathemaricarum demonstratio- num, eaque maatrum speculationum campum omnibus sublimioribus in- geniis illicofuisse apereum, nemoeleganciorum ienorat. Hlac normam seu qucoplova, quae magno labore vix ab artificibusperficitur, sine arrisicum opera inventam osten- dic, eandem que rationibus ex methodis emendacam tradic. Sumpris quippe rribus regulis, e quibus una sit pedum 3, altera pedum 4. terria pedum 5, iisque suis extre- mitatibus sibi invicem in forma Trigoni applicatis, normam correctam exhibebis. Ouocirca mirum non est Prchacoram, non dubitantem. se a Musis in hac inven- tione esse monicum, cum alias pro singulis in Ceomerria invencis bovem Musis im- molaret, teste Cicerone lib. 3. de NVac. deorum, hac reperia, (on rer ycovs oplorcris n ru opolu variar rvolcirsou duvay is1CZ 3015, h. C. quod trianguli rectanculi hypotenusa, seu latus recto anculo subtensum aeque posset, atque latera eundem angulum continentia) non bovem unum, sed cenrum Musis immolasse, reste Diogene Laerrio lib. viu, de Achenxo lib. X. ex forsan ex ipsis Potonne Reuchlino lib. 2. de arre Cabalistica. Oua propositione adjurus Plato agrum dimetiri, ex quadratum grammaticis seu linearibus descriprionibus duplicare docuit; eo modo quen prodis ritrurius de Archirectura lib. 1X. C9p. 1. (quod ipsum pluribus viis diversis expediri Geomerrice potest: quos inter necligendus non est ille, cujus Author est Philander lib. 1V. ad rirurium, in describendo abaco Capiculi Corinchii; si nempe darum quadratum circulo cinxeris, it a ue tangat illires quaruor anculos, rursusque ipsum circulum alio quadraro claudas, quod prioris du- plum erit) qua ab Euclide, ex postea aliter adhuc à Theone e Campano demonstra- ea primoque Elemento Geomerrico inserta, prodiit Theorema XKI. VI. Flem. uni- versalius, prodierunt nobiliores quaevis propositiones, ab Fuclide in XTIT. Elementis Geometricis, in 1V. libris Conicorum: ab Archimede in 2. libris de Spbara ex Cy lindro, de circuli dimensione, de Conoidibus es Spharoidibus, de lineis spiralibus. de Equiponderantibus, de admiranda Parabolo quadrarura, de Parena numero: ab Apollonio in Conicorum libris YLTF. C aliis, a Pappo in vrrI. libris mathematicarum collectionum, arula, Rnato des Carres, es aliis Heroibus inveia es demonstrata. Pab imprimis a