Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 712

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: 0.92.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. De Calculo Centri Cravitatis.
  2. ROP. ZIV.
  3. Cap. V
  4. A. B. Aecus. Circuli, Centru slaritatis, est in axis lui eo Puncto, cujus
  5. distantia a Centro circuli, est ad Racium, ut expoliti arcus Chorda,
  6. ad, Arcum suum: FF quidem, in Semiperipheria, ut Circuli Diame-
  7. ter ad demiperipheriam; scu uc Duxlum Radti ad Peripheria Se-
  8. missem.
  9. (Adeoque; Data ratione Chordxe cujutris ad Arcum suum; datur AE-
  10. cus Centrum graritatis: PE, Daco Arcus cujulris, tota Peripheria
  11. minoris, Centro sraritatis; datur Arcus ad Chordam Puam ratiO:
  12. EE, consequenter, circuli Quadraturam seu ratio Diamerri ad Peri
  13. metrum.)
  14. E. Estque Distantia Centri gravicatis, Superficiei Solidire, conversione
  15. (perfecta vel impertecta) tactu ab Axe conversionis lux; ad Di-
  16. Stantiam Centri graritatis, correspondentis Dneula (Superticialis
  17. Solidaere,) a Plano per ipsius Aciem exanseunte (rectis in ipsius Cur-
  18. ra suxerticie parallelo;) ut est, ad convertionis Arcum, Chorda (2:
  19. Fit quidem, in Semiconrersione, ue Diameter ad Semiperipheriam;
  20. seu, ut Duplum Radii, ad Peripherix semissem.
  21. Acque hinc habetur, Superficiei spliaericae, Zonx dimidiae (aliutre im-
  22. pertectae) Cencrum craritatis.
  23. Sto Arcus circularis B A B, qui non lic major Semiperipheria, Chorda BB;
  24. H12. La cujus exiremis punctis B, B, demista (ad parallelam Diamerrum DCD) Per.
  25. 156. Pendiculares sint Bb, Bb. Adeoque, l CirCa D C. D ut Axem, converri incelliga
  26. D.
  27. C.
  28. tux D A D semiperipheria: qua d D B desexibitur portio suverticiei Spharicae,
  29. aequalis erir tacto ex bD in Circuli Peripheriam, (atque hoc urinque;) quaeque
  30. a B AB describicur, sequabitur facto ex bb, hoc est BB, in eandem circuli Peri-
  31. pheriam: (per 8. C, LL, I, prOp. Praced. ) Hloc est, S Chordae seu Balis B B magni-
  32. indo ponatur c; e inteorae Peripherix, P: eric, qua ab Arcu deseribitur curra
  33. Superticies, cF.
  34. Fst autem, quae ab illo Arcu describitur Superticiescurra; aequalis facto ab
  35. Areu in Peripheriam Ceniro gravicatis deseripram; per prop. 12. hujus.
  36. ErsO; Si per magnirudinem Arcus, ut a, dividatur sP; prodibie = P periphe.
  37. ria centro gravicatis descripta. Adeoque pro Pcripheria P, substiiuendo Radium,
  38. ut ; erit R (cui aqualis ponatur C5) Distancia ceneri praricatis d D CD dia.
  39. metro.

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 712. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0732?run=74