# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0099 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0099?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 49r, page id 00068200:0099 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=99 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000099.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine # Lines: 45 recognised, mean confidence 0.92 # 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. us profedsionis ad invenitnda tercoremasus et roblematum soli n per projectionem sectionum consi in plano baseos desolodi rotatione geniti si plano BCdE secetur cong. AFG. Catus sectione per plaum vertex A. basis circulus FG. patet ct lucido in A collocato sectionis projectionem seu umbram esse basi in plano baseos esse ipsam basin adeoque hoc loco circulum. Hinc sequitur: omne problema quod solvi potest intersectione rectae et Sectionis Conicae esse planum Nam projectio sectionis conicae est circulus seu basis, projectio rectae est recta. Itaque constructionis per sectionem Conicam et rectam projectio in plano baseos, erit constructio per circulum et rectam, itaque punctum quaesitum in plano baseos habebitur intersectione circuli et rectae. Pono autem dato puncto in plano sectionis dari po idem punctum in plano baseos et contra. Hinc patet et cur dangeatis tangens sectionis Conicae plane haberi possit. quia tangentis projectio etiam est tangens sectionis (onicae circulus, quaeritur ergo tantum circuli turjusdum tangens. Nec refert ex puncto dato in sectione conica an ex alio puncto Sed minima ad sectionem ducenda sit targens. ad sectionem lonicam hac ratione non potest duci plane Nam minima est perpendicularis ad tangentem, act projectio perpendicularis fu seu anguli recti non est perpendicularis Vel: minimm est invenitur ex circulus ex puncto dato descriptus curvam tangit. sedci verum circuli projectio non est suciltur ex puncto dato, circulus sed Ellipsis. per projectiones commode definiuntur (et sectiones somicae similes eae scilicet 1 tid plure ubi aeneralis crtemtus danner in scledius constinctioat de pres si constractio et