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. 873

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: 0.89.

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

The machine reads it as

  1. PFOD. ZXVI. DeCalculo Centri Craritaris.
  2. Nemve; Si incelligatur ((i8. 795, 796.) FBF, arcus Circuli Maximis ip(IFLFFiB. 194
  3. arcui Minoris Circuli conterminus; ee compleatur PFsF Friangulum Sphaeri 195, 186
  4. cum: Flujus Priansuli Sphaeriei PFsF magnitudo innoceseir; urpore cum alibi 197, 198.
  5. tracita, rum hic ad SD. prop. 24. hujus. Aeque innoteseie Frilinei PFK Fmagni-
  6. tudo, excoonito angulo FPF, seu ratione arcus FHF ad peripheriam lui circuli:
  7. (DerSB, C, prOP. 24. hujus.) Adeoque d magniiudo Bilinei FHFgF, illorum
  8. differentia. Sed e, excognito Angulo sBd, seu Areus td ratione ad Periphe.
  9. riam Tui circuli, similiter innocesei maenitudo Onadrilinei Sphaerici d Fo Fd. Frro
  10. _ (dempto Bilinco) Ouadrilinei dFk Fd maenicudo.
  11. Denique; Ex magnicudine Portionis Segmenti Sphaerici sic inventa; FTabetur
  12. etiam Portionis Scementi Sphaerocideos corretpondentis Nagnicudo. Fst urique
  13. haec ad illam, ut Sphaerocides ad inscriptam Sphaeram; (sivC ut Axium Major ad
  14. Minorem:) Propter Plana Planis respectire sumptis aequalia, et ad Axes in
  15. ca ratione consticuros ordinacim polita. Ouxe elt tocius Problematis constructio.
  16. Calculus hine Constructioni respondens.
  17. E. Daca Circuli, in Sphaerocide Mediis Semidiameter; seu Radius inscriptae
  18. Sptaera; CP =CB = C16 =CS = CF; dicatur R: Ejusque Peripheria Qua-
  19. drans, 2; quae sic ee Anguli Recti mentura.
  20. 2. Data Circulorum, in Sphaerocideos Frusto, Fxtremorum, (f8. 207. Teortim
  21. etiam extribitorum) Semidiameter sZ ==DS =Dd; dieatur a R. (Vacto sei-
  22. licet, ut C P, ad DS; sic L ad a. Fc lic alibi.) Fltque, Sinus Rectus areus
  23. BS = BF.
  24. 3. Itujus Cosinus, seu Sinus Complementi; hoc est, Sinus AreuS SP =[8
  25. cst HS = CD = RF =V: R2 = a2 R2: = RV: F - a. Oui dieatur (brevi-
  26. tatis gratia) a R.
  27. 4. VEBB ad 55, seu CB ae HS; hoc est, ut. R ad a. R, Feu L ad a = : 7 -
  28. Sic est inteora Sphaerae Superticies, seu Quatuor Circuli maximi, 8 RR; ad super-
  29. Fciem Z OnX 5855, = 8a R~.
  30. 5. Hlac Superticies, ducta in 5 R; exhibet magnicudinem Zoux Solidae, (intet-
  31. lige, Segmenti SDSSDS, exempris duobus Conis, SCs, SCS,) SCSpSCSV =
  32. 6. Vc Ouadratum Radii CP; ad Ouadratum Radii DB; hoc Cs, uE R 2 ad
  33. a2 R2, TCu UE F adt a 2: Sic est CirculuS MaximuS 2 P 8, ad Circutum SDS = 2RQ
  34. . Circulus hic SDS, ductus in sC. D = ha R; exhitet Magnicudinem Coni
  35. SCSD, == Za42 R2G
  36. 8. Hujulmodi Coniduo. una cum Zoua Solida (S5. inrenta,) extibent Segmen-
  37. cum Solidum SDSSDS, == 3a 29 f3 aa R8. Adeoque Semilolidum DSSD,
  38. =ha Ra + 34aR
  39. 3. Dara Tummi Liquoris P K F, supra intrare Centrum, Alcicndo CK = DF,
  40. dicatur B R. P Aque, Sinus RectuS arCUS BL.
  41. 20. TIuju sque Co. TinuS, seu SinuS ArCUS L. P =FP; est KL =RK = V: R 2
  42. h2 R2: = RV: E = b2. Oui dicatur (breritatis er80) BR.
  43. FF
  44. TF. V

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. 873. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0893?run=74