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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: 0.87.

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The machine reads it as

  1. tion che
  2. villin che Denominaror, a Wvill vanist in
  3. io nothins: And consequentr cither AD ic selF is
  4. che l’ansent, or else lA; or ar least, a Line Pa.
  5. On che Rishr Side, lex chere De Presixr to cach
  6. Member, the Lixponent of che Poer wrhich a hach
  7. chere: Or Wrhich is allone, Let rhaE Exponent be
  8. mulriplied inco all ihe MemberS.
  9. R V L F HI.
  10. Terthe Came be done also on che Lelt Side, mul
  11. riplrins cach Memberthere by che fxponent ot che
  12. Pover oF y.
  13. Adding thismoreorer, That one y mult (in cactu
  14. Mlember) be alvars chansed inco a.
  15. This done, TCay, that che Equation thuS reTOF-
  16. med, will seu che Mechod of draing che requi
  17. red Tangent ro ehe Point D; and wtien FhaE iS
  18. siven, 25 allo y, u, and che ocher Ouanticies ex
  19. Pressed by Consonanes, a cannor be unknown.
  20. Tex there Be this Fignation by = y y = V V, in
  21. Wxhich F B is b, B A = y, D A = V, and let a
  22. OF A C be required eo sind che Point C, From
  23. itence CD bemp drawt, Mall be a true Pansent
  24. 10 thac Curre D, in D.
  25. In this Fxample nochire is to be ejected our ot
  26. he Eguation, Because y or V, are in each Mem-
  27. ber: Tis also (o dispoled as required BY Rulc L. I0
  28. each pare cherelore chere must be prelixed che lx-
  29. ponent of the Povers oF y and V, a5 in Rule 2 5
  30. and on ehe Letr Side let oney be chansed into a.
  31. And then che P. quation will be in this Form, b a-
  32. 27 a =2 V V, wohicti Equarior reduced, sives
  33. easily che Value oF, a = p = - y = AC. Ane
  34. Torhe Point C is toune, tcom whencethe Pangent
  35. DC may be drawn.
  36. Fo determine wohicti way etie Fangent is 10 be
  37. deaWi, Wrhethex covards B Ox F, he directs to con-
  38. sider ehe Numetator and Denominaror ot the Fra
  39. aion, wohiich ac lastis tound egual coa. FOr,
  40. 2. HF in Borh pares oF che Fraction, cicher all ehe
  41. Signs are Asirmatire, or it the Afirmatire ones
  42. are more in Number, chenthe TanSCMEISEO EUT
  43. rorards B.
  44. 2. IEThe Asirmarire Ouantiries are Greaterchan
  45. the Nesatire in the Numerator, bur equal eo them
  46. in the Denominator, the Righe Line dravn chro D
  47. aud rouchins che Curre in chatPoine, will be Pa
  48. rallel ro AB: For in chis Cale, a is oF an Intinite
  49. Leneth.
  50. Data.
  51. in thelA; 20, and Ach kules.
  52. 3. IFin BOTH ParES OFIhC Fraction, thC AHirma- Or at SeatE, L. B voula DC II, IF N B had BCCA l a
  53. tire Ouantiries are lels than the Negatire, chansins
  54. allthe Signs, the Tansenr must be dravn nou allo
  55. romards B: For this Calc, atcer the change, comes
  56. ro be che lame Wvirh rhetirst.
  57. the Negatire in che Denominator, bue in che Nume
  58. rator are le(s, Ot vice versa; then changins che
  59. Signs inthat part ot the Fraction where itiey atc
  60. less, che Pansene must be drann a corierary vas;
  61. 3. C. A C must be taken romards F.
  62. 5. Buc Whenerer the Astirmatire and Nesatire
  63. Duanricies axe equal inche Numerator, let chem be
  64. keti equal r0 rhe Diameter.
  65. rallel 20 L I3 do vont Cas de ount 6) ne
  66. This he pires plain Examples OS, in ReserenCe
  67. ro che Circle, chus.
  68. Pet
  69. t
  70. cle, Wrtiole Diamerer is
  71. e is siren any POInE; aSD, D, D
  72. 80. trom which chie P’expendicular D A, is lec Fail
  73. DC
  74. A:
  75. AC
  76. y, DF = B: Then chc
  77. 7 = V V, axd draroine
  78. OF a
  79. Non is b bE GreateF Fhan 2 y, the Fangene must
  80. be dravn comards B, it lels rowards L, il ic bc
  81. Fi B, in ~
  82. co the Diameter
  83. Equarion vill
  84. The Tat
  85. equal c0 ic, ic wilt be P’arallel 10E B, 25 Was laic
  86. Letthere De anocher Semicircle inverred; as
  87. ND D; che Poines oF whole Periphery are reter.
  88. red ro che Riste Line BB, parallet and = e0 etie
  89. Diameret
  90. Let NV BbC called d; and all chings elle as be-
  91. I VD - 2a V, Wrhich beins managed accord.
  92. ins ro his Rules, vou will tavea=
  93. 2a
  94. Nou since V here is supposedro be always less
  95. thian d; iF b be preater Fhan 2 y, then the TanGeHE
  96. mule de ca cowaras P; il equal, ll b ve
  97. lleItOBB; is less, changino iIl etie Siens, CHB
  98. Tangent must be dravn rowards B, a5by Rule 4.
  99. Fore; then ene LGuaton WIH d
  100. A. Hche A Airmative Ouaticilies are Breatex Chat
  101. 5, and 3. Buc there could be no Tangene dravn,

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/806933011:0809?run=74