Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -

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: 0.85.

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The machine reads it as

  1. bendicular roche AX,. a5
  2. ad makee ic cqual
  3. 50 =4 ua B un ou che Riphr. hand it q
  4. F. vec another Circle De dravn on che Diame.
  5. ex C in intich aP must be applied equel. i
  6. AEx, and rhar will find che Poinc I, chroust
  7. may cur rhe Parabosa I X, 29 3, Ox 4 Points, FrOn
  8. whence perpendicularty lec taMl eo the AX vilt b
  9. all the ROOES, Whelet AArmarire or Nepative
  10. ue sorer of inien Will be on the lame cde viit
  11. the Cenrre E When ris =9, and on che ortier side
  12. che Ax wrhen ris
  13. The Demonstration oF ali Which he chus ver
  14. caur gires us: IF che Ordinace CR by chis
  15. Construction found be called Z. then the Abscilta
  16. Ak Wwilt Bc Z Z. because rhe Ordinate is a mean
  17. Proportional verween the Paramerer (here 1) an
  18. the Abscissa (by the Arst Properry ot che Parabo
  19. la5) Wheretore, il from A K vou cake AC=
  20. and alo CD= Z p, vou vill And by chac means
  21. che Remainder D R OF P M, wotrich in ehis NO.
  22. carion will De ZZ
  23. EP- =; (Sec Figure ihe First
  24. Wohole Square will be
  25. pm 22+4
  26. EP + 1. And Because by che Construction, D F Or
  27. CMq the Wwhole CM Will De = Z F =9, and
  28. ies Square will bC ZZ F gZ F 299. Add chien ehis
  29. andche Former Square ot P. Meogecher and you vill
  30. hare che Square ot the Radius L C, OrZ1- 7Z
  31. +4Z F + P P + 2gq + E P + 3. (B; 47. e. Fuctid. )
  32. ixtrich Radius, or ies equal P FT, may be expres
  33. sed anocher vay, it ve consider chac ED = =
  34. and AD = = p L:, For rhen che LIyporhenule F A
  35. will bcV: +4 g f = p p. L E p. f +3 Wvheretore, sinc
  36. AHI is a mean Proporrional berween A5 = Y aHI
  37. AR. -r, ic must ic selF BC nored by V: r: AIIO
  38. since F AFY is a Riphr Angle, che Square o
  39. F. Fum the Summ of che Squares oF FT A and P A
  40. atter Which, describins a Circle n ie Cetere P. thac iS, O OF IF OP F 6 9 g f = p p L = p. +
  41. Wvich che Radius P A, ic Will, (it che Ecaucton bc = Lr: Which last Ouanciry beinq equal 10 Z
  42. Rt12Y + D + =49 f = P + + =O F C, 2
  43. Poines a5 che Equarion hach trde LCoOIS, and rhe as proved belore, il vou compare them copethet
  44. ZZ. qZ Fr; Whence cis plain, IK is cherrue
  45. Wohich che Incersectine Circle must passi and vtole
  46. Radius wils be TF and Cenere P: Which Circt
  47. have d Hegatire Sien, bur on the Letrit u bc F9.
  48. omly a Cubick onc) cur che Patabera lit a5 mans
  49. Will be L. I. Buc iy have à Bebative dien chece (thac means did exceedinsls pertect ana improre
  50. Rfirmarire ones will De Crathales oi letpenicu ou Wi ane cnis aguacton Wo arise, 21= + +
  51. lars lex Fall trom thence rO rhe AX On THC KIONI
  52. hand; and che Nexarire Roors Perpendiculars let RoOr. D. L. D
  53. FaII on the Letc hand oF the AXIs.
  54. esus Idt Wene Des Carres in chis Marrer; bui
  55. Buc it che Equarion be a Biquadrarick one; he considerins only the AXIS OF c Lu all
  56. cire Sien, then From A cake AR=r ana proauce) Caticters, cona nor comtruce ans equations
  57. AS=a OF I. MakC L(S The Diamerer ot a Cirele, BuE FrOM WHICN RC BA AN eCCLCd MC SECONA
  58. and at A erect A perpendicularly; I Cay, che Term. Bur our Baker Took the Cameters Ol la
  59. ehe Fourrh PermrOcino there, alse Mae a LOliee e Mas anpie de aone by che ortee
  60. orher Circle must pars bus anet ses Lausus pranters lo ine Ax allo inro Considerarion, and br

Cite

Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0216?run=74