Leibniz Legible

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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: 0.86.

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The machine reads it as

  1. 0c = c c, 15
  2. Rectane le D L L. L. L. D.
  3. Wtich Proposicion may be betrer exprt
  4. thus.
  5. or Axis Transversus.
  6. degments ot the Diameter.
  7. Square R I: Square CF: : 0 e c d - c 0c d: ( ParE OE the FiUrC, (Or = OF che Rectansle under
  8. 0ic d = eicd:: hatis (diridins aA by c d) a5
  9. Bur che Rectangle DIF: DFF : : 0C = ec:
  10. oi = i i: (tor by bare Mulciplication che Rect.
  11. ansle D I E will be Foundequal t0 c0bb =- ecbb:
  12. and D FP vas abore Found eobc == 0i b b -
  13. leare oc = ee, and oi =i 1.) Wheretore thc
  14. Ehe Latus Rectum and Transversum) and Then exaeL
  15. the Square Roor oF che Remainder: Thac MMaH b
  16. the Distance OF the Focus Fromt esse Centre, aud
  17. then subErACLCHALLLOIM AdIL EHC Ladus Lrans versum
  18. and ic sires P. PY che Diltance ot ihe Locus trom
  19. the Vertez.
  20. COROLLARX II.
  21. Utich Rule is verr ealeim eraeice; Cor ob
  22. i i b b:) ertrich ciro Ouantities dirided by b b will
  23. Square R L: Square (F:: Rectanole DIF.
  24. sum) ale noctims buc ihe Rectanste oE +
  25. the Rectaneles under che Sesments os ihe Diameter, D E inEO L. ML Che L atus Kectum ((Or X -
  26. 00ca
  27. In any Fllipsis che Squares os the Ordinates, are as
  28. Wrhich is cerrairis erue allo in a Cirele, vohere che
  29. Squares ot the Orcnates are cqual to MucH Rectan
  30. sses, as beins mean oercnat berween che
  31. COROLLARYS
  32. In any Fllipsis drawine an Ordinare aSFK, and
  33. suppose the Focus ro bc in NV, and chie Latus Rectum
  34. I. M applied in N ac fe ansles e0 che AXiS.
  35. is onty the Square CL aCe Laus transoei-
  36. Wheretore And ML N a mean Proporrional be-
  37. tveen L M and MO (= = D F) c On C M
  38. M N, andchen dra C H, Whick at Bethc et.
  39. Mance of che Focus trom che l’enete.
  40. (= C E) deseribe a SCMMCHCIC, AHC LC a pPI
  41. COROLLARY N.
  42. That is, Rectans lC D N P = C F Square
  43. CN Square. Calle Asquare, im m. Andrhen
  44. willche Rectans C DN E = (C F SquarC)
  45. n m. WrhichHTocarion, as one ol che lame na-
  46. Then will che Square OF = ( = = the Larns ture in che Hyperbola, will Beot use hereatter.
  47. Rectum) = 5g. O(L. N BC = ~oCCd d WherC.
  48. Fore by this Proposition: AS Square FI: Square
  49. L. N:: Rectarisle DLB: Rectanole D NF.
  50. Thatis: 0 ec d = cecd. 0ccd
  51. 00c
  52. 4bb:: oebb-
  53. ccbb:. Weretore ihc Recansle D NE.
  54. oc d
  55. Nou Rectansle D N F -- the Squ. OFCH =
  56. Square C P (bY 5 e 2 Fucl.) and consequentiy
  57. CNSquare = C P Square- Rectangle DN L
  58. Thac 15 0bb 00c4
  59. cheretore C. H che Dillance srom he Cenere roche
  60. Focus, is equal ro Y: 00bb = 000 d
  61. Since in Cor. L. Evas proved, That the R ect.
  62. ansle D N F. -I CN Square = C P Square:
  63. X ete ka e. it.
  64. PR. O P. N
  65. In ihe Ellipsis, the Latus Rectum, is to the Latus
  66. Lranvertum, as the Square of any Ordinate
  67. TK is to the Rectanele D LF, made by the Linai
  68. Intercepced becmoen it, and che Vercices of che
  69. Latus Tranlvertum.
  70. and from hence will arile chis Canon lor derer-
  71. minins che Foci of an Elliptis From che Square ot
  72. hal chx Fatus Fransvessum, Subtract ie courch Frausuesum ob. The Squate o he Drdinare ooca
  73. eccd;
  74. For, ihe Larus Rectum 15 = , and ihC L acus

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/806933011:0288?run=74