# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068190:0034 # Permalink to this reading: https://leibnizlegible.com/page/00068190:0034?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 17 # Folio 17v, page id 00068190:0034 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068190&page=34 # Source image: https://digitale-sammlungen.gwlb.de/content/00068190/jpgs/default/00000034.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.94 # 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. duo illa plana projiciens et projectionem excipiens esse parallela, quo casu, quaerendum est punctum radians, et distantia planorum parallelorum t talis, ut ipsique elc conicae sectionis projectio sit etiam circulus. Prior via brevior esse o posterior itam amplior Incipiemus a Priore, us quia ita nori est a necesse mutare rectam A tantum aliao punctum in recta Ax si opus producta loco ipsius A assume attus verbi gratia eA, retento eodem plano projectionis excipiente seu planea projectionis Y (1. Nam projectio ipsius sectionis condrae slc ex a puncto radiante 2A. dempe 3 2A2). erit circularis priori ()3Y patallela ptuncta autem 2A et a in recta Ae si opus producta ita sumi debent ut sectio una alteri, sit subcontraria seu ut triang ulum 2 ACF si mite sit Miangulo 2A2G2) M Uet autem inveniamus haec puncta possumus diversas miscere vias progressus aut regressus nunc haec nunc illa pro datis quaesilis ve assumendo. prout commodum erit, onec conditiones simplicissimas oranciscamur. Utitius tamem est incipera Videamus primum quid ex datis A f. d V. l. c. educipss luci possit, ad reliquas habendas primum ergo quia df aequi dc. Es Dende Quia Trangulum quia triangulum 2AFC simile triangulo 2A22). et angulus 2A utrobique idemteruntanguli f et 2Y. item, C et 29 aequales per 2d ducatur: parallela ipsi fc. nempe ion occurrem ipsi 2A2 in n et ipsi 2AE) in P. productis si epu est. Cum sint triangula 2AfC et 2An p. similia se opus est patet cum sint aequales afet dc etiam 26 et 2dp erunt inter se aequales cursus trianguta 2828n et 26p,) sunt fimilia nee nam angulus 1c aqui angulo C. ergo et angulo p. angutus autem n2dE8. aequo opposito 2)2dp. ergo et duo reliqui n et 29n25 et 202) p erunt aequales. jam duo eorum latera homologa 2dn et 25p. sunt aequalia, ergo et reliqua aequalia erunt, seu eris 2624 aequ 2d24 et eptiaequ 2Yp aequ 28n enim ver sed neratcur ista probaremus patenter ideo qura quia itaque 282) est diameter ejus centrum. Itaque 2A2d erit Coni 24291Y axis