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: 0.84.

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The machine reads it as

  1. In ie Second Form, Wotrieh I5 a a d a == R 2,C
  2. Grearer OE tlie evo ROOES,
  3. Coethcieni, or ot= d, en sire rou che guare
  4. OFIT, O. ot =d Fa: Frous im oc ot Which, a
  5. lalt Caking =d, chere v
  6. Make BC. =A
  7. lremain a che letler ot
  8. checno ldors CoughE.
  9. In che Second Form, WHere a a - d a =R.
  10. Lec Z x be suppoled =a, chen will Xy=-a d
  11. eli Cali chinss beins constructed as
  12. a dR (By 14. C. 6. FuCl.) ana ACrC
  13. and contequ
  14. Defore) a a
  15. as betore,
  16. 8. 2d F Xr,
  17. As cortie Third FOrm, viz
  18. Saa a= WBCrC
  19. the Co. efficient is. the Summ oF the ROOES; On S
  20. a5 a Diamerer, draw the Circle d pbz: then appls
  21. adicilariy asbetore; and cher
  22. lure Number, per
  23. Sus e iHC Lobes, it elher be a che ocher muse
  24. bc5- 4) and theretore S a aa ==R
  25. But it X B be suppoled equal 10 a Ce lette
  26. ROOE) chon wist R F -5.- a.
  27. d L R. FY HI, erhich is equal re
  28. in 2 Line equal ro rheSquare RoOT OF R, che ab(0
  29. n, wetrich is S a-
  30. Let F b --5, and C B Or L
  31. S
  32. BuE By 36, 8. 3. F.UCl.
  33. NCBK OFKFC =D BH OEFF:
  34. 1 R
  35. then will L C. Or
  36. Thac iS Sa
  37. vare Roor oF which addins
  38. Ed youhare Z X OF p V = a.
  39. And D F Or D T= = = d (hals che Co esticient) cher
  40. will AIBCL = B FC, (by 36. 6. 3. ) OE aa
  41. d= R.
  42. In the T
  43. Will 5 a. V: R:: : V: R. a ; (FOr BBCC S 1o Eti
  44. Arst caken away. Floverer, because ic was that
  45. extrich sare che trst rile ro Bakers Admirable
  46. Rule, and eo whacever Improrements have becm
  47. since made in ir, ies prover io sire jou an AC-
  48. conneot ic in ehc Arst place.
  49. CONSTRDCTION Os Cubicte and Diguadra:
  50. tick Equations in Alcebra.
  51. BIC IIR FC-=CI F L, ThaE 15, da a
  52. Y 36, 6. 3. Fucl
  53. TDC 3 Forms oF Ouadraricks may allo be con
  54. Arusted aniocher way, atcer che tollovine
  55. manner; Wvhich aprees rery ell rich par
  56. riocs Mechiod ot Solurion by complearins che Fiquarions, bur such as had rheir Second Perrr
  57. Square.
  58. Thus luxpole a a F d aR.
  59. Dean a Line ac pleasure, and on ie set the C0.
  60. etticiene a and bisect ic; at any end ot ic erect
  61. perpendicularly a Rishe Line equal ro rhe D. l.
  62. Then wich ehe distance beciréen he rop oF the
  63. Line and rhe midale ot d. delcribe a Cirele whicta
  64. rill sire sou a, 25 you lec; For chen i: R W
  65. be a mean Proporrional, and a a f a d==RR,
  66. Phis, believe, was sirst done by Des Cartes.
  67. aho (in the Third Book oF his excellent Geome
  68. erus) hach siven us a Merhod tor rhe constructins
  69. and findins chc eruC ROOIS OF alL Lquations no
  70. exceedins tour Dimentions, by means, ot a Para
  71. bola and a Circle; bonch Mechod vas indees
  72. noc perteet, becaue Il tould nor construct an
  73. Wvtienthe Second Ferm is Wvancine, Des Carres
  74. Latus Lectum. t Latanetet et als siven Para
  75. bola, and is suppoled equal ro r. thac ies PoWC
  76. inay produce no rrouble in Operation: By wrhict
  77. means ehe former Equarions vill Aand thus
  78. Z. 2. P2. 9-0, 2nd Z1. . PZ2. 42. 1 =0.
  79. Pex then any Parabola, a5 F A C BC suppoled 10
  80. be described, Wwhole AZ iS ACD KL, and iIS Pa
  81. rameter 1=a, inate AC equal 10 :: a, (0 rhac rhe
  82. Poinr C Will alivays be wichin che Parabola
  83. Then cate in che Ax (donnuards tron C iE I
  84. hare a Necacire Sien, buc upvards in rhe AX
  85. produced when ic hach a Poscive onc) CD = e
  86. P. Lhen trom che Poine D (or C, iP the Ouan
  87. pendicula
  88. reduces all Cubicte Equations eo chis FOrm, Z3.3
  89. a pZ. aa g =0, and Biquadratiotes r0 Etis, Z1. 7
  90. a pZ2. a a 92. a a a r= 0, Where a cands For che
  91. 140. 6. Lublia.
  92. And here ris plain, thac it c0 R, the Hnown od
  93. absolure Number, you add chie square ot hale che scuy p be nains in che Equacion) erect a Per

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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/806933011:0215?run=74