Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 116

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: 0.91.

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

The machine reads it as

  1. 216
  2. CMIRISTLANL AVBENTI
  3. Orceurno ricatis cunei sui abscissi plano per eandem rectam r. Vel, guras Y
  4. FFOUES.LL Ordinara existente, uc s r sic aris ejus, eadem quadratorum
  5. a daDICuL li decur distancia ceneri gravicaris tigurae dimidia
  6. 52 F ab axcsr, icem centri gravicaris cunei, luper eadem dimidia
  7. Prop. ir hui. figura, ab scissi plano peraxem ducto F. Freo, his daris, dabitur quo-
  8. que summa quadratorum a perpendicularibus quae, à particulis
  9. omnibus folidiA BC D, ducta incelliguntur in planum E a C. Inve-
  10. nimus aurem ec lummam quadratorum, à perpen dicularibus om-
  11. nibus in planum per E C ductis. Ergo de agoregatum urriulque
  12. lummae habebitur, hoc est, per superius ostensa, summa quadra-
  13. corum perpendicularium qua, a parriculis omnibus solidi ABCD,
  14. cadune in rectam datam per e transcuntem, d ad paginx hujus
  15. planum crectam. quod crac Faciendum.
  16. A H E
  17. ROeOSITTO XV.
  18. Isdem positis, si solidum aBC D sit ejusmodi, ut ficura pla-
  19. Lna SY FZ, ipsi proportionalis, non habeat notam distan-
  20. tiam centri cravitatis a tancentibus Bx vel DZ, vel, ut sub-
  21. centrica cunei super ipsa abseissi, plano pereasdem BY Vel DZ,
  22. ienoretur; in ficura tamen proportionali, qua à latere est, OQP.
  23. detur distantia +P, qua centrum cravitatis ficura dimidia
  24. OP V abest ab axe o e; licebit hinc invenire Cummam qua-
  25. dratorum a distantiis parricularum solidi a B C D à plano
  26. EC. Oportet autem ut sectiones omnes, HN, M M, sint plana
  27. similia; utque per omnium centra cravitatis transeat planum
  28. EC; quemadmodum in prismate, pyramide, cono, conoidi-
  29. bus, multisque aliis firuris continsit. At que eorum planorum
  30. distantias centri gravitatis, super tancentibus axi oscilla
  31. tionis parallelis, datas esse necesse est; uti Co subcentricas c
  32. neorum, qui super ipsis abscinduntur, ductis planis per eas-
  33. dem tancentes.
  34. Veluri, si marima dictarum sectionum sIEBD, ex in D intelli-
  35. satur recta parallela axi E, hoc est, crecta ad planum quod hic
  36. conspicitur, oportet datam esse distantiam ceneri gr. Sectionis
  37. BD a dicta linca in B, qua sic B C; itemque subcentricam cunci,
  38. super sectione B D absciti, plano ducto per candem lincam in B,
  39. quae subcentrica (IE BK.
  40. Ltenums datto, GC VBaa + a
  41. OSCTLLA
  42. PTOP. 9. h

Cite

[Christiani Hugenii Zulichemii, Const. F. Horologium Oscillatorium. Sive De Motu Pendulorum Ad Horologia Aptato Demonstrationes Geometricae] Christiani Hvgenii Zvlichemii, Const. F. Horologivm Oscillatorivm. Sive De Motv Pendvlorvm Ad Horologia Aptato Demonstrationes Geometricæ, fol. 116. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/799199311:0132?run=74