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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. verlal for all Eguarions nor excceding a Dimen-
  2. hons, vichour any previous Keducan ot chem, or
  3. catrine avay any oF che TermS.
  4. And his Merhod is chis, as yoi may tind in hi
  5. Clavis Geometrica.
  6. Pakeins any Parabola, let the Parameter, OL La-
  7. tus Rectum be called 1== L, (that l0 the PoWet ol
  8. L. may creareno rrouble) and irs Verrex a, Then
  9. At RIChE Angles r0 che AZ inseribe R A = =P
  10. COr halt ehe second Termin che Equacios, sand chen
  11. AD, eo be dramn Parallel roche AX; Lolacthe
  12. OF p, Or oFp L, (For L is = bur 101) and con- eire Sign in hc Rule
  13. sequenely uhen p=o, or when che second Term
  14. comcident. Nexc in chis Diamerer B, ic derer-
  15. hic C WItFHCtIOn OF Descartes, and male L Oni- = uxWardS Nom iE; and in rhe lattexs RuIe F
  16. bignities adsrhe l etrHand, as- dorh cowards
  17. che Righe.
  18. ccorcins as che Atrmatire oc
  19. Degarire Roeu prerail, H Will be on che Lett or
  20. Kixhe Flanid Ot D.
  21. And in boch paris it P g. Or r Bc =0, etic
  22. Member where it is tound vill vanist and becoie
  23. 2I10 0
  24. AS EO thC CipNS OE the Ouantities in his Rule;
  25. he makes p alvars reraim che sion ix hach in che
  26. Equation; bur q alvays purs on a conrrary one
  27. Mall irs poine A be che Verrex oF che Diamerer ro whac ic had chere, r is alvars wich a Positive
  28. Sign, excepe when pr, have contrary siens in the
  29. Distance ot chis Diamerer trom che Ax, is alvays Equation, and ilien r vill alvays have a Hey
  30. Elaring thus by his Centrat Rule Found F che
  31. is ivanrins (25 in Descarreshis Construction) AD Centre of the Cirele, the nexr worte is to deter
  32. will be in the AX, and che Poines Ra, and Aall mine the Radius: And it che Rquarion be nohipher
  33. chan a Cubick, P A is alvays che Radius; bur IF ir
  34. mines the Point D, by ehe LCH OF AD, and be a Biquadratick: Then suppOsinS =S, Or thAF
  35. ehien erects in D a Perpendicular 10 A d5l
  36. hole lensch he derermines allo, and by chacmear
  37. Ands Hthe Centre of the Circle, Wwhich is ro incer.
  38. sect or Touca che Parabola: And chis he PecsMI
  39. by whar he calls tis Centrur abt, Hc.
  40. 1. L
  41. 2. C + g0t
  42. ELY D.
  43. the htch Term (or Absolure Number) bea Nega.
  44. WVhich 2 Dules are Demonstraced in his Bo0K
  45. and here, under che Word Ceniral Rule; Wrtrich sec
  46. tive Ouanciry. Patre in the Line A F (producd
  47. boch ays it chere De occasion) A I-= L above
  48. and AR. == 5, and makins PR a Diamerer deleribe
  49. the Semi circle R L P; and cerect at che Poine
  50. 2 + es + 3 = b = 1D
  51. 2. P +
  52. e
  53. A, ihe L ine AL perpendicularty; etrich chere-
  54. fore will be a mean proporrional bermeen A R
  55. and AF. L Cay che Cirele must pals chro L, and
  56. Fs L Wil be the Radius.
  57. Dut il it bC = S, vou muct deau anorter Dia-
  58. meter P A, and cherein HC In OF apDIY A Z = 10
  59. und because L=L, chey may be corracted
  60. chusus
  61. L At betore Found (For non che Square ot A L is
  62. to be calcen FOr FY A, 25 in cheformier Ca (e it nas
  63. eo be added eo ic,) uvtrich vill And the Point
  64. chro wrhichrhe Ciscle must pass, and the Radine
  65. Will be H Z, Which Circle beine dravon it Will car
  66. ehe ParabOLa in 4, 3, 2, Or P, or in rio Point, and
  67. accordine eo che Number oF such inrerlections
  68. will che real Roos of che squarion be found,
  69. atrich rill be alvays (o mans Perpendiculars from
  70. thole POInes IO A C; a5 eer. NO on che letI
  71. Fland, Mo onthe Riphe, (9C. OF wrtich is rhere
  72. be no e or second Terrri, and allo ic DC =r, chem
  73. on the letr Iland are ihe posicire ROOES, and chie
  74. Nesacire oneson che riphe Cland. Bur if che lecorid
  75. Term be there, and wwich a Nesatire Sien, as
  76. chen No on rhe lete FTand are Acrmacive, and
  77. the ochers M0 on the Righe Negarire; buc it ir
  78. be tx ris on che contrary, No Nesarire, and
  79. Mo politire.
  80. pe Demonstration ot all which is very easy
  81. ro one thac hach considered che Demonstrarion a-
  82. bove siren trom Descarres on which this enrirely
  83. depends, takine inro considerarion allo the Proper.
  84. ey ot he Parabola, wtich Baker had From
  85. Mr. Scrode oF Maperron, thac the Latus Rectum is
  86. eothe Summos any 2 Ordinates, as their Difference is
  87. to the Difference ot the Abscissa.
  88. CONSTRDCTION, in Geometry, is che drav
  89. ing of such Lines as are previoussy necessary for
  90. the makrine any Demonstrarion appear the more
  91. plain and undeniable; and this Construction is al
  92. maysot such chines as vere ell xnomrand souxtir
  93. betoré.
  94. CONSTRDOTIONT, ini Grammar; is che na-
  95. cural, just, and regular placine and disposins, ot
  96. nords in a Dilcourse 10 asro male Proper and ln-
  97. ehe Ecclehastical Courr, or Coure Christian ro che
  98. And vou multoblerre thac in the former oFchese Kines Courr, is recurn d chicher again; For che
  99. Rules + benibes domnvacd som etle Poine A, and( fucses ot ihe Kipes Courc, it upon comparins he
  100. E + 2 = b = A D and
  101. E+
  102. cellislole sente.
  103. DHSBLTATION, is a Wric Wcro
  104. Cause beins formerly removed by Prohibirion trori

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/806933011:0217?run=74