Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 65

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: 0.90.

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The machine reads it as

  1. L. IB. II. DE COMPRESSO ET TENSO:
  2. ea: hinc crelcune impetus, cem- medio D, accedens crementum erir
  3. pus, e velociras, per rniformia
  4. crementa: ac vero sIE F I, Spacium.
  5. ab extremo puncto F, decurrendum
  6. dum chordâ AF, se reducit in A L;
  7. cerre LiceE in EOEO MOTU COntra-
  8. ctionis FL, velocitas crelCAE, Per
  9. Prop. 57. non tamen est cadem vis
  10. morrix in F, quae in L, vel; nam
  11. crementum relociratis, quod acce-
  12. dit puncto F, quando accessir in
  13. L, CA minus co quod accedic in
  14. F, e maius eo, quod accedir in
  15. L. _c. id cA, si motus incipiat ab
  16. F, maior est, quam si incipiac ab
  17. L; e maior 2b L, quam d ; id -
  18. que in proporrione lonsicudinum:
  19. nempe quando F. peruenie in L,
  20. dum concrahitur chorda, ininoe
  21. censio luperest, igicur minor vis,
  22. in eadem proportione, per ProP. 59.
  23. e nisi remanerer velocicas prius
  24. acquisIta, in MOLL P L, minor cHeF
  25. mocus in L, quam in F, iuxta PrO-
  26. Porcionem LL, 2d FL: ac veco in
  27. acceleratione morus scausum, liue
  28. mocus incipiat ab A, live ab V, Co-
  29. dem modo incipir; a cum codem
  30. velocicatis gradu: icaque accelera
  31. tio mocus grauium Ar in triangulo
  32. E18. 5. Calileano AFB, ita ve tempus mo.
  33. Iro
  34. tus per FA, relocitatis crementum
  35. per applicatas patallelas LO, DII,
  36. TC, AB; Spatia verO per acCaS, cum
  37. crianguli F F C, cum crapeziorum
  38. FH, HC, CB, FePFXLEnTenEuII; ac
  39. vero acceleratio morus contractio-
  40. nis, quo scilicer chorda renla le le
  41. reducit hc in eodem triangulo
  42. AFB, Led invertO; IEZ VE A F, (IE
  43. Spatium, applicacae vero parallela
  44. AB, CI, DHL, F.C, quarenis Faciune
  45. aecam, velocitatis Crementum se-
  46. pralentent, v. 8. C in principio
  47. re DII, Cubdupla AB; in C, vero
  48. VE CL; in F, VE EC; id cs, velo-
  49. cicatis noua crementa, Cune ve (pa-
  50. tii relidua; si camen in pencto C.
  51. consideretur toca velociras, id cl,
  52. Contlaca ex priore, d nOVO CrC.
  53. Inento; sepraelentarur craperio CB;
  54. in puncto verdD, crapezio DB; in
  55. F, crapezio FB; in F, denique, crian-
  56. sulo FAB: hinceriam habecur re-
  57. locitas, quae acquiritur in decursu
  58. lingulorum spaciorum aequalium:
  59. Scilrcer in AC, acquiritur veloci-
  60. ta5, quae est ve trapezium CB; in
  61. CD, VEETAPCZIIIMDI; INDF, rE
  62. EFaPCZIUML EHI; iN EF, ve criangu
  63. lum LFC: Hlinc Cunc velocicacis
  64. Incrementa ve numeri impates 7. 5.
  65. 3. 1. iuxra dinisionem eiuldem (p2-
  66. eii AF, in plura, vel pauciora, aequa-
  67. lia Leomenca; nempe craperium
  68. CB; Cit ad D5, VE 7. 2d 5. e ad
  69. L II, vc 7. 2d 3. denique ad PFO,
  70. rC 7. ad r. cuncta haec hacteHuS
  71. dicta certa Cunr; nam sI AF, SIE
  72. Epacium decurrendum ab illo exere-
  73. mo puncto chorda censae, dum se
  74. reducie, concractionis motu, in A,
  75. velocitas, Ceu ris morrix eAt VE AF;
  76. in C, vero, praelcindendo à velo-
  77. citate acquilica in AC, VE CF; in
  78. D; VEDE; In E, VEPF, PCE PEOP
  79. 59. Sed VE AF, eAt ad CF, DE, FF,
  80. ita AB, es ad CL, DEL, FG, _C.
  81. Pari modo si allumatur quodliber
  82. punctum inter AC; velocitas est re
  83. Parallela AB, ab allumpro puncto
  84. ducta; igitur torum relocitaris au-
  85. omentum in AC, est ve craperium
  86. CB; in CD, VEDL, ec. led pergo
  87. alterius.
  88. ROF LXV
  89. Vecdenulis abguiscta ad extremes
  90. mocus A, relocitaS eAt vE AB, in punctis mou illo concractionis, quae
  91. cherda

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 65. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0151?run=74