# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0412 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0412?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 378, page id 1041163592:0412 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=412 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000412.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. 378 PHITLOSOPMLLE NATDRALIS DEMONDTZIensu suo 2d aequatorem diamerros adaucebit, axem rero de- censu suo ad polos diminuet. Sic fovis diameter (consentienti- bus Astronomorum observationibus) brevior deprehendieur InFCE volos quam ab orience in occidentem. Fodem argumento, nili Terra nottra paulo altior eset lub aequatore quam ad polos, Ma- ria ad polos subliderent, et juxta xequatorem alcendendo, ibi om- nia inundarenE. PROPOSITIO XIK. PROBLEMA IMI. Invenire proportionem axis Planetae ad diametros eidem perpendiculares. Dicartus mensurando arcum gradus unius ec 22. 55 inter Ambianum ec Malvoisinam, invenie arcum gradus unius ese hexa- pedarum Parisiensium 57060. Onde ambitus Perrae cA pedum Parisiensium 123249600, ut supra. Sed cum error quadringente- sima partis digici, eam in fabrica instrumentorum quam in ap. plicatione eorum ad obserraciones capiendas, sic insensibilis, ee in Sectore decempedali quo Calli obserrarune Lacicudines loco- rum respondeat minutis quatuor secundis, ee in singulis observa- cionibus incidere possit tam ad centrum Sectoris quam ad ejus Vide Flictoriam ACa- demix Regix scientiarum ano 1700. circumferentiam, et errores in minoribus ar- cubus sine majoris momenti: X ideo c’ assinus jussu Regio mensuram Perre per majora loco. rum interralla aggressus est, ec subinde per distanciam incer Obserratorium Regium Parisense et villam Coli- oure in Roussillon e Lacicudinum diferentiam 68c. 18, suppo. nendo quod figura Terrae sic Sphaerica, invenic gradum unum esse hexapedarum 57292, prope ut Norrvoodus noster antea invenerat. ic enim circa annum 1635, menturando distantiam pedum L On- dinensium oc575I inter Londinum ec Fiboracum, et oblerrando differentiam Lacicudinum 28r. 26, collegit mensuram gradus unius esse pesum Condinensium 367106, id est, hexapedarum Parisien- Cium 57300. Ob magnicudinem interralli a Cassino mensurari, pro mentura gradus unius in medio incerralli illius, id cst, inter L a- citudines 45e. ec 468. usurpabo hexapedas 57292. Vnde, (I Terra sic Sphaerica, Semidiameter ejus erit pedum Parisenlium 19695539. Pencunt SYSTEM AX