# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0472 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0472?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 438, page id 1041163592:0472 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=472 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000472.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine # Lines: 36 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. 438 PHITLOSOPHILLE NATVRALIS DE MONOE LOC II. 46, ut 1436 2d 39343 ec 4590 ad 4898+3 COnjun- Srorrmare etim, id cHt, uE 100 ad 292369. Vires aurem quibus Nodi Lu- narum (uc supra explicui) acque adeo quibus puncta sEquinoctia- lia annuli regrediuntur (id est vires 3II, in Fic. paz. 403 d 404.) sune in lingulis particulis ut distantix parcicularum à plano R, ex his viribus particulx illae planum FusiunE; _ Propterea (peF LCm. II.) Si maceria annuli per cocam olobi superticiem, in mo- rem figurx P ap AP ex F, ad superiorem illam Terrae Partem consticuendam sparseretur, vis ex efficacia tota particularum om- nium ad Terram circa quamris AEquatoris diametrum rotandam, acque adeo ad morenda puncta Aiquinoctialia, craderet minor quam prius in racionc 22d5. Ldeoque annuus quinoctiorum regresus jam cNet ad 2081. 22. 46, ut 10 ad 73092: ac proinde ACrCE d. 56. 50. Exterum hic motus, ob inclinationem plani Aguacoris 2d pl2- num Reliprica, minuendus est, idque in ratione sinus 91706 (qui sinus est complementi graduum 233) ad Radium 100000. Oua ratione motus iste jam hec 9. 71. 20. Hlac eAt annua Praecesio Aquinoctiorum a vi Solis oriunda. Vis aucem Luna ad Mare movendum crac ad vim Solis, ue 44825 ad I circiter. RC vis Lunxe ad Equinoctia movenda, cAt ad vim Solis in eadem proxortione. Indeque prodic annua i- quinoctiorum Praecessio a vi Lunxe oriunda 40. 52. 523 dC tOta Prxcesio annua a vi utraque oriunda 50. 00. 12. Ec hic mo- tus cum Phaenomenis congruit. Nam Praecessio A quinoctiorum ex Obserrationibus AAronomicis est minutorum secundorum plus minus quinquasinta. Si alticudo Terraxe ad A. quatorem superee alcitudinem ejus ad Polos, milliaribus pluribus quam 172, materia ejus rarior erit ad circumterentiam quam ad centrum: ec Praecessio Aquinoctiorum ob alticudinem illam augeris ob raritarem diminui debet. Descripsimus jam Systema Solis, Terrx, Lunas ec Planetarum: superest ue de Comecis nonnulla adjiciaMeur. LE MMLL