# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0526 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0526?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio - , page id 1041163592:0526 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=526 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000526.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 109 lines, status machine # Lines: 109 recognised, mean confidence 0.90 # 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. TND E X 22LBM Relikenria quam patitur a Fluido Tructum Co- nicum, qua ratione Rat minima 299, 30 Relictentia minima Solidum 300, 25. Satellicis Torialis extimi elonsatio maxima heliocentrica a Centro Toris 370, 35 Fluseniani elongatio maxima heliocentrica 2 COnErO SaTUEnI 37L, 5 Satellitum Torialium tempora periodica e distantia 2 centro Toris 359, 22 Saturniorum tempora periodica de distantix 2 CeNErO SaLUTMI 360, 1 Torialium e Sacurniorum inaequales motuS a motibus Lunx derirari posse oltenditur Saturni distantia a Sole 361. Temidiameter apparCNS 371, e Temidiameter vera 371, 14 vis atcractira quanta (It 370, 3: pondus corporum in ejus superficie 372, 19 densItas 371, 37 quantitas MateriX 37L, 27 perturbatio a Tore quanta st 375, 16 diameter apparens Annuli quo cingitur 371, 8 Sectiones Conica, qua lege vis centripetae ten- dentis ad punctum quodcunque datum, descri buntur a corporibus rerolrencibus 58, 20 Sectionum Coniearum descriptio Geometrica ubi dantur Umbilici L, Soct. 4 ubi non dantur Umbilici l, Sect. 5. ubi dan- tur Centra vel ACymptoti 87, 9 Selquiplicata rario deAnitur 31, 40 501 circum Planetarum omnium commune grari- catis centrum moretur TIL, 12 semidiameter ejus medioeris apparens 371, 22 Semidiameter vera 371, 24 parallaxis ejus horizontalis 370, 33 varallaxis menstrua 376, 4 vis ejus actractira quanta (IC 370, 33 pondus corporum in ejus Superticie 371, 19 AenstaS ejuS 372, 37 quantitas aterIX 375, 27 vis ejus ad perturbandos MOtuS LUX 363, 15: 1 vis ad Mare movendum III, 36 Sonorum natura explicatur FI, 43, 47, 48, 49,50 propasatio diversit a recto LamILC 332,9, relocitas compuro colligitur 34. 3, 8, Paulu- lum major esse debec s. Airo quam )be ne tempore per Pheoriam 344, 11 cestatio tir starim ubi cellat mOCS corpOrIS alnemaio cube nmonico Spatium +, 32 absolutum ec relatirum P. 6,) non est aequaliter plenum 368, 16 Sphaeroidis actractio, cujus particulatn rites sune reciproce ue quadrata aIILaMCIaru 198, 21 Spiralis quae secat radios suOS omnes aldul dato, quo lege vis centripetae tendentis 2d centrum Spirallo cetertet pelen a corpore revolrentes octendicur l, 9: II, 15, 10 Spiritum quendam corpora perradentem et iit nomena solvenda, requiri luggeritur 484, 17 Scellarum fixarum quies demonstratur. 376, 18 SInt 467, 38 Stellx NovX unde oriri DONint 481, 5 corporibus latentem, ae pusstra acua pla- AC per asitacionem AerIS 343. Lonori 3443 29 radiatio et scintilu Guolto Cacs setetencta Substantia rerum omn Occua 403, L Tempus absolutum ec relatirum P. 5, Temporis Aguacto Lcteomica per Horolo. sium oscaotum e Lepses Sacellitum 10. ris comprobatur 7, 15 Tempora periodica corporum rerolventium in Ellipsibus, ubi vires centripeta ad umbilicum cendunt l, 15 Perra dimensio per Picartum 378, +F, Per Cassinum 378, 2T, per Normoodum 378, 26 doura invenitur, ec proportio diametroruni. ee menlura graduum in Merica Ls allicudinis ad AEguatOrOM SUPFA AIEKCHICILCH dl PolOS quantUS sIt exceNUS 381,7: 387, L Temidiametet axima, minima _ mediocris etbus densior elt Eat LL tOTUS ex Aqua con Aaret 372, 3 Fciem 386, nolem indies auB bete est 473, 18. 1, 1 aris nutatio IIL, 21 otus annuls i magno demonstratur III, 12, 23: 478, 2C Eccentricitas quanta (It 421, 13 aptretii mocus quamuo 316, 33. elobus densior est ad cenrum quam ad super. Vacuum datur, vel spacia omnia (R dICanel ette plenas non lune alflalr plena 32d. 18. 368, 25 Veloci