[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 71

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.

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The machine reads it as

1. PYB. II. DE COMPRESSO EF TErISO.
2. Tirer, mocu illo concractionis, in AF, quX REdUICREUE IUXFA pEi
3. chorda imminuitur proportiona
4. liree, in duobus v. 8. Peomentis a(-
5. Cumpris, isitur Segmentorum pro-
6. Porcionalium exeremitares per li-
7. neam parallelaim Ioventur _cc.
8. V. 8. TInc duo SeGImCNEA AL, FF,
9. Eraducta per morum contractionis,
10. quo se chorda tensa A F sedueic in
11. AY, ZE, AV, VB, _C. CerIC
12. cu VeFL, est ad TA, iE2 F. Y, 2d
13. YA, d BV, ad YA ec. IYV est
14. Parallela FEB; idem dico de aliis
15. punetis;isitur omnia puncta chor-
16. dae cenla moveneur per lineas ic-
17. ctas parallelas.
18. DROD. L γ. X X
19. Fribus modis chordatensa reduci
20. eis. 4. porest moiu contractionis: nempe
21. tor modis reducieur; quoc adduci-
22. EuE, vel cenditur; Ced eribus cen
23. ditur, per prop. 74. igitur roridem
24. modis Leduci potest, quod veexem-
25. Plo explicetur; SIE chorda AB,
26. Fensa in ABC, S dimitcatur, 2ddu-
27. cecur in AB, ec Singula puncta con
28. Trahentur versus A; e hic lc pri-
29. mus modus reductionis chorda
30. censae; primo censionis modo res-
31. Pondens: Secundus modus est, (1
32. Chorda V p hinc inde cenla, 2d-
33. duCatur in AC, cum Ce reducat in
34. : terrius modus est, si chorda.
35. rensa AC adducta in ADC, vel
36. II AEC, _C. Le Se reducat in ABC:
37. obleruentur Cinguli modi, ve de-
38. inceps s Forre appellari concin-
39. Bat intelligantur.
40. PROP. LXZZ
41. Choraa tensa, inata terrium modum
42. primum; in eadem proxoriione
43. reducitur, quo ad singula chordae ten-
44. 18.81 su Phlttta: Y. 8. it chord AL Feml2
45. mum modum, punctum F decur-
46. ric Spatium FL, L vero Sparium IR,
47. dcC. iTa VE SpatIa SINE VE IOTUIS, MO-
48. cus vero re dictantiae ab exrremi-
49. tare A, Per cOrOII. PFOP. 6I. PaCi
50. modo sc chorda AC, cenla in
51. AFC, qua reducatue iuxca tertium
52. modum, punctum P decurrie (pa-
53. tium PB, C vero spatium IV, R (p 2-
54. tiu RB, _C. (ed vE F A est ad LA, iF2
55. FB, est ad IV, Ve constat ex doctri-
56. na criangulorum proportionaliiun;
57. igirur chorda censa puncta redu-
58. cuntur proportionalirer, cum pri-
59. mo, cum certio modo; lunc enim
60. reductiones vE motus contractio.
61. nis; hi rero re spatia aequalibus
62. temporibus decurla; vides quam
63. appolice haec inter se convenione.
64. PROP. LXX XII.
65. Duando chorda tensa reducitur
66. inxta primum modum, spatium con-
67. fectum in linea aequinalet planum: Sic Fig. os
68. enim chorda AB, centa in AF, e
69. reducatur primo modo, punctum
70. F decurrie lineam FI; punctum L,
71. lineam LK; igitur (I accipianEuE
72. omnes istae linea Pcortum, a Sinou-
73. lis punctis chordae censae decurlae,
74. facient planum criangulare. sir enim
75. AF longicudo connacuralis praedi- Fis. 55
76. etae chordae, sirque AB sparium de-
77. cursum ab extremo illius puncto
78. mobili A, d CI, decursum ab alio
79. puncto C; D FI vero, a puncto
80. D; exc. haud dubie ex his lineis re-
81. Culeat planum criangulate AF B;
82. igitur est spacium aquivalens de
83. cursum in linea, à chorda censa,
84. quae juxca primum modum se re-
85. ducito

Cite

[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0157?run=74