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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 239

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. CAP. 25.
  2. De Procressione Arithmerica.
  3. tia, dist. B dist: c = diCt: f, hoc est, dist. B = diA: c Y dist f.
  4. exIE (Per PrOP. 2E. ) B = C + f un a 3 ergo B n C 4 a
  5. 26 Siigitur primus terminus sico; duorum quorumvis dit-
  6. Ferencia est cerminus ille cujus index sive dictancia a primo est
  7. llorum indicum differencia aequalis. Ouonium hoc casi.
  8. B C = B - CF a - f.
  9. 27 Irem, hoc casu, cerminus ille, cujus index aequatur eus
  10. rum indicum differenciae, est mulciplum excelsus communis,
  11. andici suo (sire duorum illorum indicum difterentix) cogno-
  12. mine. Cum enim indicum dicterentia oltendar terminorum di-
  13. Rancia; (cq; Per prop. 9. disterencia cerminorum, DF. (mul.
  14. ciplum excellus copnomine distantiae, sire indicum differencise;)
  15. exie cerminus ille, cujus index huic indicum differentiae aequa-
  16. nur, icem D P; quippe quae est cerminorum illorum differencia,
  17. per praeced.
  18. 28 In continua progrectione Arichmetica, extremorum ag-
  19. prepacum aequatur aggresaco duorum quorumvis terminorum
  20. aequalicer ab excremis uerinque remocorum; (Incellise, quo-
  21. rum unus a primo eot abest gradibus, quor alter ab ultimo.)
  22. Nam, Per PrOP. 2. _5; canco unus minimum Luperat, quanto
  23. alcer a maximo deficit; propcer aequalem uerobique dictanciam.
  24. PataC = AF 2F, 27 =V 2E; erBo c+ γ =A+ 2F +
  25. V. _ ZF. = A + V. FFHC ubique.
  26. 20 Sin cerminus omnium mediis ab utroq; extremo equa-
  27. licer distet, (quod ubi numerus cerminorum cA impar concip.
  28. sic) cerminus ille bis sumprus aequatur extremorum eGGrC-
  29. BacO. PUTa exPOSIEIS a3 B, C, d, e 5 crit a + e = 2c. quia
  30. e a = e nc, propter aequalem verobique distanciam. Ideo
  31. que c +6 = a + e = 26.
  32. + 2F.

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 239. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0285?run=74