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. 650

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: 0.86.

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

The machine reads it as

  1. e Centro Cravitatis.
  2. Breri. Summa Demonstracions lle Fedic. Cu scut t P. O. 12 e 13 Cap. pla.
  3. ced. Ponderacionum Kationes craduntur, in hanc ulerecalem propolitionem con-
  4. Spireneu igualia Pondera circa axes aequatet as ponderare in ratione
  5. distantiarum a plano per Axem Terpendiculari; Et, Tnaquuu proportionaliter:
  6. (Ouacunque lc vol aIs, Velllibra ad Porizoe potu, ce PCeMCLM
  7. Motus cransoae Teitra, are secios stem, Tire linc ad culic ertas Labras,
  8. lire, in eodem rel direrlis Plasus fbrentur.) Cotal propoluum, de quocunque
  9. Cap. IV
  10. axis licu, non ad Horironem recto; ee de quocunque Punctorum ad Arem licu.
  11. 8g0d exac demonstrandum.
  12. axem propentio, leu Conderacio: uc dulum ell, Prop. 2. hujus.
  13. 311∞1E E S. SHC, 1EHIIsiis
  14. GNNOSO Z OZ ZV M as (secE
  15. F Sicu rero Aris ad Horironrem recto, non noit haec Propolicio; (ut negne
  16. reguencium aliguoc:) OuOnIam, HOC Cat (prOPteL TOCIIOu enculOS HO.
  17. rizonti parallelos) nulla erit cujulris puncti, urcunque gravdem ad motum circa
  18. Si Pervendiculare LTanu Pel Hocus Arem, incedens; lecet Grave in
  19. partes inricem aequiponderantes: (HIoc est; Si Perpendiculare Pla-
  20. num per Axem lic elanum sequilibrii:) Non morebitur, sibi siC
  21. permissum, Grare.
  22. Sin Sesmentorum alterum, religuo praeponderet; (dummodo non
  23. sic Axis motus, ad FTorizontem perpendicularis:) Pa feretur; c-
  24. tenus donec tat Squilibrium. Pt simul uraque aequipollent excestui
  25. praepoltentis.
  26. Adeoque; Non erunt, ejuldem graris (aut Agoresati oravium) duo
  27. Aquilibrii Plana invicem parallela.
  28. non moveri grare.
  29. F Axc mocus ad Florirontem recte, o p, ea L usllo. AeDC,
  30. De Axe motus non ad horizonrem recto; lic demonstratur.
  31. Fis. GL. Si Derpendiculare planum per ZS morus axem, divicat Crare in segmenta A.
  32. B: horum verague (graria cum sinc, de extra perpendiculare planum posita
  33. hac illac Velcentum motientus (per 3 hujus;) Rc quidem uecs Propter rO
  34. rationem circa XS axem, per Fhujus) cum Alcentu contraru; adleoque conera
  35. vonderabunt: Si iraque aequipondetant: contrarii conatus aequales, le muruo susti
  36. nebune; nec Aetmotus. Si alterum praponderet: hoc reliquum luperabit; adeq
  37. que mocus hortum tier, donee Aquilibrio impediatur (Per L2 CaP. L.) Duogue
  38. limul conarus concrarii: aequipollebune excellur pra poAlenS. (per 8 cap. I.
  39. Duxe demonstranda crane
  40. Acque hinc seguirur: (Ouod etram ante demonttratum elt, ad prop. 20. Cap.
  41. Eis. 93
  42. Diacca.) Lo caitus uidem graris (aut aeEczalt Zaru) duo parallela llana
  43. AguilibrI. Lal i LTanum per 2O Lic Clau LMLDCA; hie Paralelu.
  44. mla Del L Lg Uiel. Nam (polis uccclescu au lllea peivendiculal.
  45. bus) si sexmena. XSA, LSB, xequiponderane; seemena YY A, Y FB, non
  46. aequipon.

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. 650. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0670?run=74