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: 0.81.

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The machine reads it as

1. sul
2. qual Ouancicies ill hare equal Fluxions; ehiere-
3. Core x = 72 21, amt i = 2y = iy; and
4. dividines all by y X = 23 = 2 = (vecaule 3
5. = 2) 3
6. X Wwheretorechis las is che Fluxi
7. on oErhie Fraction = 2: because Z beine
8. , i vil be cqual co he Blusion ol =
9. And ihe FluriOn OC = Will be = ; sor, e
10. Permanene Ouantiey a havins no Fluxion, chere
11. ean be no Produet of itie Fluxion of che Nuera-
12. cor into che Denominator, as chere evould have
13. been, had a been x, Z. or any ortier Variable
14. Ouantiy.
15. Ao che Fluxion oF = puil BC
16. Fluxion oE , will be x a F X x - x
17. A 4 ) 2 a X =) X 3
18. aa. F 2 a X 25 becaute - m and . 1
19. a destroy one anottet: AISo che Fluxion
20. oE = or = = 1 13 (= :) Eere alto che RC.
21. verse ofche Rule serres io find che Florine Ouar
22. cies trom cheFluxion: AS iF che Flowins Quariricy
23. DE ehiis Fraction vere requited 7 = = 7: First
24. Mulcixis ic by iC Square oP che Denominacor, ape
25. ic will De x y = x y, trom which cake avay
26. Xy votrich Was placed altex it, and il will be a
27. omic che Poine and ris x y, Which because, is the
28. Denomintor OC a Frgetion, ill ac lat be. 3.
29. Besore the FluXIonS OF any Poiver, Whether Per
30. fect or Impersect, can be tound; che tollovine
31. ivas ot Nlocarion must be well inderstood
32. Nea Series ot Beomerrick Progtestionalo be in e
33. Oeder,
34. 1. X. X ~ X X X. X1. x5, 20, x2. BCo
35. Their Indexes or Exponenes will ve, in Arie
36. Mecical Progression, and stand chus.
37. 6. 1. 2. 3. 4. 5. 6. 2.
38. Lheh Their exporents will be lesarire,
39. Mlama crus.
40. anet x = F dc.
41. Orit rou exprels ilie Geomierrical Secies By ma:
42. ny oF he ExpOnens, it will stand tius x =
43. X
44. 90. And il it ere expressed chus x. Then id
45. Will be x = 1, because x is etie Denominator ot
46. che Racio, in which ricy is noc affected. Thus
47. als0 = 4 and = = 2 -2: And 1 = x.
48. = i x = X X, _c.
49. AIIOThE FKPOHEHE OL V: x will Be iy becaute
50. 25 V: x is 2 Mean Proporrional berncen 1. and x
51. 50 : is an Arictimetical Mean becireen 0 and L.
52. And THC RxPOHENE OF V: x vill be Z: because
53. 25 V: x is thetirst oF ihie rvo Mean Proportionals
54. betveen r. and x, 50 : is che sirst oF ehie tvo Arich
55. merical Means berween o. and 1.
56. FOrLNCC L X. X X. XX X. are continually Proporrio
57. nal, cheretore itleir Cubes or any ocher Roors will
58. be also continually Proporrional. Thac 15, V: L
59. = 1d. Y X Y X X. Y XxX(= ∞)
60. 50 als0,
61. 1. N X3. X X X. ∞4 N WHeretore Ce ROOE
62. OE hC Sch Poiver oE chole Ouanciries vill be:
63. Thac is,
64. va Y. VF. Y~. Vr. (= a)
65. AIB; FOr ihe tame FeatOn, the FxPOnenE of
66. V: x. will bc 4.
67. N. B. Alvays place che Index oF che L ettex (Or.
68. Poner) orer chac os che Radical BiBn.
69. Thus in Fractions: The FxponenE OF =, vitl
70. bC = 1, OF.
71. i 0
72. : x will bc = 3, O5, will be
73. Y: X7 Will be = 2, 13c.
74. Y. x
75. N. B. VE x and x, OE V: X and x : Or J: x2;
76. and x are only civo different vars oF Noration
77. For one and che lame chins, chie former in etie old,
78. che laccet in Mhe nem Way.
79. 50 likewise and x =atc all one: And-
80. 15 X=3, (90.
81. Lhe way ot readins or exprestine Ouanriries se
82. denored, is chus, X =3 is Onirys divided by etie
83. CubeoF x andit ic ivere x 3: ic must be read.
84. Oniry or Onen dividedt by ihe Cube RoDr et de
85. BuE I tBCS AC LLaCtIOnS ; a51
86. X
87. 2-
88. Noro.
89. 4. = 3. =6. =q. Cocil sou 3de Pomec ot v.

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/806933011:0341?run=74