[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 427

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. F18. 4
2. in
3. L. 1B. II. DE ALTERATIOHE.
4. PEOP. ZCLI.
5. Ia diuidi posest radius, et lumi-
6. na proeressionem arihimericam se-
7. guantur: Sic enimm radius NT; di-
8. nidatur in S, ita; re quadrarum
9. SN, sic ad quadearum PNI, VE 1.
10. ad 2. cum in R, ita ve quadrarum
11. RN, sic ad quadracum TH, vcL.
12. 2d 3. cum in l. ita requadracum
13. PN, sic ad quadracum TN, vEr.
14. ad 4. tum in O, ica ve quadiatu
15. ON, sic ad quadracum INI, VE 1.
16. 2d5. Xc. ceree lumen in T clt 1.
17. in S, 2. In R, 3. In P, 4. in O, 5.
18. vides progressionem arichmeriea
19. Smplicem.
20. PROP. ZC III.
21. In nostra hypothesi quancumlibet
22. dividatur radius, in iisdem punctis,
23. idem lumen est, secus in proeressio-
24. ne ceometrica dupla; Sic enim V. 8.
25. 18. 3. radius AB, dinilus bitariam in 6.
26. in C lumen eAt rx 4. curmr diuida-
27. tur in quatuor parres aequales, hoc
28. est quodliber seomentum bitariam,
29. aequalicer, in HI, e in I, in C
30. luinen adhuc ek ve 4. in II, vE 16.
31. in l, vt 1. =. deinde dividatur ad-
32. huc quodliber legmentum bifariam
33. aequalicer, in N, M, L, R; lumen
34. in C, est semper ve 4. In FL, YE16.
35. in I, veI =. vides, Cemper eamdem
36. elle progressionem luminis, idem-
37. que lumen in lingulis punctis,
38. quancumliber radius dimidatur: aE
39. vero in progressione geomerrica
40. dupla, secus accidic, siE enim ra-
41. dius CD, divilus in octo legmen-
42. ea aequalia. sirque progressio lumi-
43. nis in Ccgmentorum lerie, 1. 2. 4.
44. 8. 16. eEc. certe a dinidas vlcerias
45. (CGIENFADV, VT, FS, RLC. HOn
46. Ceruarur amplius praedicta prosret.
47. sio, v. 8. accipe seementum DV.
48. a dinide bitariam in Z; Cerré (
49. in Z, lumen est ve 2. in V erit vt
50. 4. ve seruetur peatara progrestio;
51. sed iam in V Cupponitur cslc vE 2.
52. S vero lumen in V SIC CeIMPeF VE 2.
53. IDieUE IN Z nON CPIE VE 2. neC VET.
54. ioicur in his punctis D, Z. V lumen
55. non dittunditur iuxta progressio-
56. nem geomerricam duplam.
57. PROP. Z CIV.
58. Si assumatur conus luminis; cum
59. bast rectilinea, insimeulis basis pun-
60. ctis, lnmen aque intensum non est:
61. Sit enim conus luminis ABF, cum Fi8. 5.
62. balirectilinca, cuius diamerer (IE
63. recta BF; dico in punctis D, C, B,
64. lumen aeque incentum non esté,
65. quia B longius distat a Centro
66. SphaerX A, quam C; X C, quam
67. D, re pacee; igirur in D, plus
68. est luminis, quam in C; e in C,
69. quam in B, ve paret ex dictis: hinc
70. in cenero baHS, plus est luminis;
71. nempe proxime omnium, ad cen-
72. rrum accedit; minus vero in ipla
73. Peripheria balis; hinc in lingulis
74. punctis praetara peripheria, lumen
75. aeque incensum est; quia lingula
76. aeque distant a CCMErO A; icem si in
77. eadem bali alii minores circuli de-
78. Feribantur. eodem duMFAZAE CeMLIO
79. D. in lingulis peripheriae punctis,
80. lumen aeque incensum exit; FLinC
81. in lingulis punctis Cemidiamerri
82. Bats DB, diverla est luminis in-
83. rensio; quia diuerta est à CCMEIO
84. A diltantia.
85. PROP. AC
86. Definiri possunt raliones iba
87. num in sinculis punctis: V. 8. (InE
88. puncta DB; dico lumina esse in
89. duplicaca DA. B A. permucando; AIF
90. TIIh 2 enim

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 427. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779785487:0485?run=74