Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 26

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. F18. 16.
  2. 26 DE Y LL LBOS ET MIOTFBOS CORPORDM. LIB. I.
  3. C O R O. L. L A R F u M I.
  4. 60. t omnes pecehtix BC curra AB perpendiculares sInE, era-
  5. nelcent anguli TBS, eritque ubique CD = F F = BC. Nam coin-
  6. cidentibus BF e BS, rectie BV _ BY aequales fient ipsI BS, 8
  7. OT = CS; unde cum (Constr.) sIE CD: BC =BV: BI Aet omni-
  8. nO CD = BC. Sic etiam quia TE: BC =BV. CT: SC. BI, e hOc
  9. calu BV = B5, CT = CS, ee BT = BS, ratio BV. CY ad SC. BT
  10. exit ratio equalitatis, atque adeo E F = B6.
  11. C O R O L L A R Y U M TI.
  12. OE. EF SI PEXtCred Omnes BO inter se aequaleS FVICrINE, AgUEX
  13. mixtilinca AACB _ AXFE mucabuntur in parallelogramma
  14. rectangula C AX _ F AX.
  15. COR OL L A R L U M TTI.
  16. 62. Oie IMSCS currX AOM punctis potentix perpendicu-
  17. lares currae, ec omnes inter se xequales BC applicatae sint; ris to-
  18. talis qua curra AOMI urgebitur, cadem erit ac vis totalis, qua ur-
  19. geretur currae basis AMI, si etiam linsulis ejus punctis potentix x-
  20. quales ipiS BC, e basi AM etiam perpendiculares applicatxe cNeHE,
  21. aEque adCO CZPONCTUE rectanGuIO MAXZ. Nam descriptis circa
  22. curram rectangulo ME, P. A, CujuS latUS FP baMI xqualis FaNGAL CUIT-
  23. ram in O, _ ad latCTA ME, AE recFanGUIIS MXFR, AXFF, cOn-
  24. Tideretur basiS MA inCtAT aXIS CUEVX AOM, ex quoniam sccundum
  25. hrpotheln omnes potentix BC currae normales lunt atque inter le
  26. requales, Crunt (5. 6T.) cf = CD = BCr X hisce aequales existent
  27. homologx linee respectu cujusris alius currae puncti B; adcoque
  28. omnes potentix currae parti ABO normales, equipollebunt dua-
  29. bus potentiis, quarum una axi perpendicularis exponitur roc- l0
  30. AZOP, alteraque axi parallela exponitur rectangulo AZFB. Sic
  31. etiam omnes currx OBMI potentix aequipollent duabus, quarum
  32. una axi perpendicularis alteraque cidem parallela, ec quarum hxc
  33. rec- lo M LFF, illa verO reC- IO POZMI exPOnItuT. AEqui ob x-
  34. qualia rec la MF. FX ec AR. LX, Potenciae axi AM Paraltalae et
  35. directe oppolitx pertinentes ad CurrX Partes ABO, MIBO, utpO
  36. te inter se aequales, se mutuo elidunt, solaeque potentiae aXi per-
  37. DeA

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 26. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0054?run=74