[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 46
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: 0.87.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
The machine reads it as
- DEITLOSOPTTLM NAIDRALIS
- PROPOSITIOZ. PROBLEMA. V.
- Opretur corpus in Fllipsi: requiritur lex vis centripetae tendentis ad
- centrum Fllipseos.
- Sunto C A, C B Cemiaxes E. llip (COS; GP, D R diameErL COH
- Sata; P F, 9t Derpendicula ad diametros; 42 ordinatim appli-
- cata ad diametrum
- EF; et Acompleatue
- Parallelogrammum
- QVPR, erit (exConi-
- Cis) PoC 2d Ququad.
- uE PC quad. ad C D
- quad. et (0b Similia
- criangula OVt, PCF
- Q quad. est ad Q
- quad. UE PC quad. a
- D F quad. e Conjun-
- etisrationibus, PVC
- 2d QF quad. UE PC
- quad. 2d C D quad.
- ec FC quad. ad F P
- quad. id CA, V CF 2d
- tquad.
- FV UEF C quad.
- ad CD gZ P Fg. SCribC G R PTO D V,EE (DET L EMMA XIT.) BCXC A
- FC
- PrOCD X P F, nec non, punctis P et Q cocuntibus, 2F C prO
- 26, _ ductis extremis ec mediis in se mutuo, sct QF quad. X P C 9
- QR
- aequale ZBCgXC A4. Es erso (per C or0l. 5 PrOP. YL.) vis cencri
- Deta reciprOCC uc E BCgXC A9; id cA (ob datum Z BC qXC A9)
- rCCIPEOCC UE = C; hoc eAt, directe ut dictantia P C. d. F. I.
- Idem aliter.
- In PC ab altera parte puncti s polica intelligatur tu aequalis ipA
- +V; deinde cape w V quae sIc ad v C ut CA DC quad. ad P C quad.
- FF quoniam ex Conicis est Ququad. ad F VG, ut DC quad. ad
- eC quad: erit q quad. aequale P VX u V. Onde quadratum chor-
- dae
- 40
- DE MOTV
- bORPORVM
Cite
[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 46. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0080?run=74