Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 14

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.

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The machine reads it as

  1. DE
  2. CXCLOTDF.
  3. tur a sbali parallela; erie cenerum gravicatis solidi ex semi-
  4. conversione Temicycloidis circa rectam AD, in recta a s.
  5. 45. Cum vero distuncia puncti live R Cire o a recta C F sIE
  6. 2Z + 70 2 Y; aeque distantia puncti II vel o ab eadem recta FIE
  7. 22 Y; (quorum urrumque ex dictis patet:) erir dictanciarum
  8. ratiO, uE ZZ + 20Z X ad =2 Y, sIVC uE 2022 Y 14. Z Y ad
  9. 25Z X: Oux si cum ratione magnicudinum 5 ad 2 con
  10. DANAEuE, HaDCtU MOMeNEOTuM raTIO 1OOE Z F 70 2 Y ad
  11. 302Y, Sive 102Z + 72X ad 32T. Quod cum ubi-
  12. que hac; pro patione momenei solidi ex convertione (vel semi-
  13. conrertione) Cemicreloidis, ad momentum colidi ex converto-
  14. ne (vel semiconvertione) semicirculi circa rectam A. F, respectu
  15. linex requilibrii C F, sumenda erie tum ratio 7 ad 3 (PTOPEeK
  16. 72. Y ad 3Z Y) cum (propter 1OZ Z ad 3Z Y) es ratio quam
  17. habet decuplum momenti solidorum ex convertione trianoulo-
  18. EUI V F P CIECA A P, Cuspensorum in distantiis ZZ respective,
  19. ad eriplum monenti corundem Colidorum suipensorum in di-
  20. Ctanciis Z Y: Nempe ut Z: R D 3 = 20. R. P ad Z R P, SIVe UE
  21. =5 A F qu 20 C F9 ad 4C F 9. ((Vod 6 87 _ se99. FusiuS
  22. declaTAEUT.) Dux quidem FaCIO II CUI PATIONC 7 de 3 COHJUINGDEUI,
  23. haberur ratio momenti (respectu rectae C F) Polidi ex convertione
  24. (vel Cemiconrertione) Pemicpeloidis circa rectam AF, ad momen-
  25. cum solidi ex simili convertione (vel semiconrertione) semicirculis
  26. Nempe R P + = 2 R= P ad E R P, GIVC VE 45 P Z = 5T2 R
  27. ad 192 R=, HIOC eA, UE 45 AF9 = 32 C F9 ad 22
  28. C F9.
  29. 47. Si ieaque ponamus C F. distantiam centri gravicatis solidi
  30. ex en convertione vel semiconvertione semicirculi, (a recta C F;)
  31. _ FaE, UE T2 C F 9 ad 45 AF 9 32C F 9, (CC F ad OC;
  32. aceruInque, uE 5 ad 2, SC (3 C ad C7F; E duCaEUF Fy Parallela
  33. rectae C F: Frie semisolidi ex convertone (hoc est solidi ex se
  34. miconrertione) Semiereloidis cirea rectam A F, CenErU gEa-
  35. vicatis in recta FV 3 adeoque in ip(ius eo puncto ubI OCCUTrITUE
  36. rectae a s modo invencae 5 45. (Dehonamus aurem in schema-
  37. ce centrum graritatis in ea semicreloide, ubi minor futura esset
  38. linearum confulio; perinde enim ad rem est, in uera de-
  39. +8. ElabiEO auFeM CeNErO
  40. graricatis in senisolido, a forrio.
  41. Duantum
  42. distat a
  43. entru soli- Genecur.
  44. di interri
  45. Etr6A

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 14. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0030?run=74