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: 0.80.

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The machine reads it as

1. F
2. ca Lions oF the Numerator and DC:
3. R VL F. V
4. Eo sind che Elunions os Surd Duanriries.
5. Let it be requird co And che Fluxion ot
6. V 2Y X = X X, OF 2 r X = x x (E. Suppole
7. ErX = ∞ ∞ (2 = Z. chen 15 2 r X - X X = Z 23
8. and consequentty, r x = x x = 2 Z, and by Diri
9. vision, x = = = Z = (by Substitution)
10. ri = + = c0 che Fluxion OE Y 2 Y X = X X
11. X y - 23)
12. 24 X y - y y
13. X1 a X X x
14. X X 9
15. ToFnd che Fluxions oF Ouanriries compoundec
16. oF Rational and Surd Ouancicies: Let ic bc re-
17. quir d ro sind he Fluxion oF b X2 - Ca X - F ea
18. Tet it be requird co sind ihe Fluxion OF X V X X =F aa = 2. PutB ~ F CA X ea
19. VZYX = X X
20. a y = X x (3; FOF A y = X s (3 DuE Z and chen
21. ay = X X = 23, and a y = 2 X X = 5 Z 3Z:
22. = P, and V X X F a a = 9. Then chc givem
23. Ouancies is P g = 2 and che Fluxion chere.
24. Aml muliplrins b7 3, 3a y = 6X 1 = 2 Z; OE is P 4 F q p = . Z But Z i5 =
25. and consequeny, 34 23 y - 623 X x = 2 =
26. ser. F aa
27. (Substimtine a y - X x = 23) 3 ad g y = 6 and p 15 = 2 b X N F c a . Theretore in Mhe
28. a X y y = 3 a Xt y - 6a y X X + 12 a7 X3, Equation P q g P = Z; il in place oF P, 4,
29. x 6X5 x = +0 the FlUXiOn OF a y = X X (. P, 9, We restore the Ouantiries chey represent, Wc
30. The Fluxions of imperfect Porvers may be also
31. Investieaced by (Arr. 20.) che general Rule, and Mall have = 5 a ∞3 F e a X X X + 2b X X
32. exprelsd ocherivile, and more brieAy chus:
33. The FIuXION OF 2 r X - ∞ x)= i5 = = X
34. 2r ∞ = ∞ X) = = X 2 r _ = 2 X i=
35. x= X
36. NZTX = ∞ ~
37. V X X e a
38. V X X a a X X - CA X Y X X L a a X X = Z
39. Erhich beins Redue d eo one Denomination, sires
40. 3b ∞d F 2 a0 v f ear x F 2b a x F Ca X X
41. V X X a e
42. Tho Purion OE ay = X a . 16 = 3 X ay = ~ = 2 = r0 che Eluxion oc che eiven Cuamity.
43. X a y = 2 X x, which beine reduced, will BC
44. tound equal eo che Fluxion chereot formerty
45. Found.
46. The Fluxion OC V X y -- 77 10 = E X
47. X y F y yl = E X y x X y 2yy (ArE. 13. )
48. 3 i = x y F 273. TheFluxion oC sal t a xy
49. 2 V X y- y y
50. 16 = = X at F a Xyy ( = X a y i = 2 a X y
51. a y X = 2 a X y y
52. 2 V ar - a X y.
53. Thepreceedins Fxample;
54. E X a X Y ∞ x V at + a x y y
55. a y 2 X - 2 a X y y
56. a = 2 X x Y 2 V a F a X y y
57. ax- L 2 ∞ X
58. RVLF VI
59. 2o find che Fluxions oF Povers, nhere thE Expo
60. The Fluxion os V ax. F x X F S at F a Xyy
61. is == by che Art. 20. Rule,
62. nenes of chole Porers are themselves Fluent
63. Quamriries. By Mr. LI. Dirton.
64. TetZ, v, X and v, Be Rovine Ouanricies; che
65. Variecies chac may happen here, are reducible 10
66. these follovins C’ales.
67. TEis Cictier Z ZV ZDZ ZE 2V in volicti
68. last Case, X is che Fxponent oF y, 25y ic SetF is
69. al(o OF Z.
70. C ASF L.
71. Let Z De proposed, and Suxpose Z = v, ThCH
72. E +: p es = v. L v, buc 2. ] = - +
73. Fy 2 = y - 2 Crejectins all che contequene
74. Terms oF the Series, in Which anY POIerS OF PFO.
75. ducts oE Fluxions wonid Be Found) ergor- Lv =
76. 17 9Z7 + 9 =1 Z and Z = ) -- y = 3 +-
77. 2 V a X = X X - V a ] a X y y -] Z = 2 = v, bIE D = Z; FrOM WHenCC Z V + y
78. a y2 x - 2 a X y
79. y 2 3 + y = 2 q - = 0, is tor chat realon
80. 2Vantat Sa FALBKEVatan (ine Value ot Me Punion requirect
81. Tue Prasion ol V a n. H x 2 1s (4r. 14 203)
82. y)
83. X X
84. X V +9 +93
85. nralatt)
86. 3V a X - il Xl

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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/806933011:0343?run=74