[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 371
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.93.
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The machine reads it as
- DRTNCTPTA MATEIEMAEIOA.
- Luna, determinarit quod clonsatio maxima heliocentrica Sacelli- L. IDEK
- tis extimi forialis a cenero Joris in medioeri joris a Sole distan- Lrerio
- Eia SIE 8. 222, de diameter joris 41. Ex duratione Pclipseon
- Sacellicum in umbram Poris incidentium prodie haec diameter
- quali 40 atque adeo semidiameter 20. Mensuravit autem LLu-
- senius clonsationem maximam heliocentricam Sacellitis a sc de-
- cecti 3. 20 a centro Saturnis ex hujus clonsationis pars quarca,
- nempe 50 est diameter annuli Saturni e Sole rilis ec diameter 52-
- curni cA ad diametrum annuli ut 4 2d 9, ideoque lemidiameter
- Saturni e Sole visi est i. Subducatur lux crracica quxe hauc
- minor esse solet quam 2 vel 3: FF manebit lemidiameter Saturni
- quasi o. Fx hilce autem ex Solis semidiametro mediocri 10. 6
- compucum incundo prodeunt verx Solis, Toris, Sacurni ac Perrx
- Cemidiameeri ad invicem uc 10000, 1077, 889 ex 104. Inde,
- cum pondera aequalium corporum a ceneris Solis, foris, Sacurni
- ac Terrae aequalicer distancium, sinc in Solem, Torem, Saturnum
- aC Terram, ut 13 1035 29 et72 respectire, ex auctis vel dimi-
- nutis distantiis pondera diminuantur vel augeantur in duplicara
- ratione: pondera aequalium corporum in Solem, Torem, Sacur-
- num ac Terram in dictantiis 10000, 1077, 889, ec 104 ab corum
- centris, atque adeo in eorum Cupertciebus, crunt ut 10000, 835)
- 525, ec 410 respectire. Ouanta sine pondera corporum in super-
- ticie Lunxe dicemus in sequentibus.
- Corol. 2. Innotescit etiam quantitas materiae in Planetis singulis.
- Nam quantitares materix in Planeris CunE ue eorum rires in equa-
- libus distantiis ab eorum centris, id cAt, in Sole, Jove, Sacurno ac
- PerrA SUnE UE 13 1039 ZD _C yB respectire. Si parallaxis Solis
- ctacuatur major vel minor quam 10 debebit quantitas materix in
- Perra augeri vel diminui in triplicata ratione.
- Corol. 3. Innocescune etiam densitates Planetarum. Nam Pon-
- dera corporum aequalium ec homogeneorum in Sphaeras homoze-
- neas sune in superticiebus Sphaerarum ut Sphaerarum diametri, pec
- PrOD. EXHIT. Lib. I. ideoque Sphaerarum hecerogenearum densi-
- cates sune ut pondera illa applicata ad Sphaerarum diametros.
- Franc autem rerxe Solis, joris, Sacurni ac Terrae diametri ad invi-
- cem ut 10000, 2077, 889, ec 104, ec pondera in coldem ut 10000,
- 835, 525, _ 4 20, e propterca denlitates TuInE uE 100, 78, 59.
- ec 396. Denlitas Terrx quae prodit ex hoc COmpuTO non pendct
- parallari Solis, sed dererminacur per parallaxiu Lunae, e prop.
- cerea
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 371. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0405?run=74