# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0100 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0100?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 49v, page id 00068200:0100 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=100 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000100.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 27 lines, status machine # Lines: 27 recognised, mean confidence 0.98 # 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. quae in eodem plano descriptae in aliud planum projiciunt circulos concentricos. U utilior solidi quam plani consideratio ad theoremata ad problemata an quadraturas; quia in solido res alioqui dissitae a natura sunt copulatae, quae alioqui in plano disitae videntur, et vix multo calculo connectuntur Et generaliter quo plus in aliqua notione realitatis est, eo foccundior est ejus contemplatia. possumus conipere radios lucis moveri in circulis vel aliis curvis iisdem vel diversis. Adde huc usum cu superficiei hyperbolici convidis quae descrbitur per lineae rectae motum. Tota nim ista consideratio non tam optica quam Geometrica. Lux et projectio imaginationis tantum gratia adhribetur. Res eo redit quomodo punctis respondenti cujusdam suptificioi planae vel non planae; puncta respondentia in alia superficie notari possint: modo alia illo facile haberi possint ex his datis et contra Ac modo per hujusmodi projectionem saepe figurae difficulter tractabiles in facile tractabiles transmntentur. potest ad hiberi consideratio motus: imo et refractionum. recta Quoniam intersectio circuli et circuli, vel circuli er conicae, dat projiliendo intersectionem (onica et Conicus, vel circulie Coniai et rectae, hinc derivari poterit quibus modis problema plana Adoe huc de sectionibus reddi possint in speciem solida. sub contrariis, item eum bases sunt conica, nam quavis circulus in basin projectus fit conica