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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 123

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: 0.82.

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  1. Primo, ducendo 24 in 8 habetur area 1OI 192 = 24 X8. Deinde aream totam
  2. 292 per 6 lacicudinem panni diridendo, habetur lonsicudo qua (Ita, 32 = 187. FF
  3. similicer alibi.
  4. Acque hactenus cum Mulciplicacionis cum Divitionis exercicium, in menturan
  5. dis Parallelogrammis Rectansulis quancum opus est, oltendimus.
  6. Cap. XXIII. _. I CIS.
  7. C A P. XXIII.
  8. Duclidis Flementum Secundum Arithmetice
  9. demonstratur.
  10. adem qua supra methodo; ex Tolo parallelosrammi rectanguli caleulo, 10-
  11. P cum tere Elemencum sccundum Duclidis tacile demonstracur Arichmerice.
  12. Exempli gracia,
  13. LC2. Si sint duae rectae (puta R, B,) quarum altera (B) secetur in quol-
  14. cunque partes (PUTa M, N, O,) rectanculum duabus illis rectis comprehensum
  15. (RXB = RB,) aequale est iis rectaneulis quae recta insecta (R) e sineulis sectae
  16. sermentis comprebenduntur. Hloc est, Si B = M F N FO, elt RB = KM F RN
  17. FRO. Ouod ex mulciplicarionis caleulo patet. Vel, Si PONAnEUIE R, B, MI, N, O.
  18. aequales numeris 4, 10, 5, 3, 2. Cric 4 X 10 == 4 X5 F 4 X 3 F 4X 2. ut ex calculo
  19. item patet.
  20. N
  21. X
  22. RsRnIRNII
  23. B = M F. N. +. 0
  24. e R
  25. 20 = 5 + 3+2
  26. RB = RM 7 AH + RC 40= 20+ 12+8
  27. 2C2. Di recta linea (L.) secetur utcunque (in A _ F,) rectaneula quae 101a
  28. e utroque seemento comprehenduntur (Z. A + Z. F.) aequantur quadrato torius,
  29. (Z9.) Hoc est, Si Z = A f F, cst Z9 = Z A F L. P. Vet E TOt SIC 5, (C8
  30. enta 3, 2: exIC 5X5 =-5X3 + 5X2.
  31. 25 = 25 + 10
  32. 4 LIL YZF.
  33. 2C2. Si recta (L.) secetur utcunque (in A, F,) Rectangulum tota e uno
  34. seementorum comprehensum (Z. A,) aequatur rectaneulo sesmentis comprehenso
  35. (AE) una cum praedicti seementi quadrato (A 9.) HOc CA, Si Z = A + F;
  36. erit Z. A = AF + Ag: vel (i nUMeriS) E 5 = 3 = 2, Cxit 5X3 = 323
  37. 2. X 3.
  38. (5 = 0 + 6
  39. L
  40. 2. A = A4 F AF
  41. 4C2. Si recta (Z) Secetur utcunque (in A, E:) Quadratum totius (29)
  42. comprehenso, bis s
  43. X 2 = 3X2.
  44. B
  45. aequale est quadratis seementorun (A IL) unu cum rectaneule seementis
  46. (2 A F. ) Ct st L = A FF; est Z9 = A9
  47. FL9 + 2AF. vel (in M,) H 5 = 3 f 2. exit 5X5 = 3X3 + 2X2
  48. 29 = A9 F 2A R f F. 9
  49. 6. +
  50. 25 = 9 + 12+4

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 123. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0143?run=74