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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: 0.83.

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The machine reads it as

  1. E
  2. s
  3. C b - ) =. 2. C b.) AFCLLMC Square
  4. ot caca will be bb-) - eb b. ] = e cbb, Caat 1
  5. E -I - D F KE, (bY 47 a L. F. VCL.) ANC EC
  6. these Lqual Ouantiries adding he Squares ot L
  7. and F C, cach ot wtich is = cc: LHeir Sum,
  8. viz. D M D- I B D Z (1 c. L NI Z) vil
  9. bc bb -] - cbb - = = c cbb -) =cc, Wrtrich al(0
  10. is equat Eo the Sum OF chele B L F -I - ( F C
  11. 1. c. F C, wrtich Wvas = tO AD = X L
  12. by the Construction) - B EK = a ecbb
  13. .. Cc- = ecc- ) = e0 cc; thac is equaltO I) ZH
  14. Wherctore since the Squares arc equal, thC
  15. Nom il tom chose equal Sums bb eb
  16. 1= = ccbb - 400, and = e cbb- =c0 cdc
  17. :c, rou cakre avas whac is comolo
  18. bb -) ebb = ecc - e ecc: Wrhich WIII DC
  19. tound ib be also, sinsly tatien, equal l Cach
  20. other: Decause he PaxE caken arvas b b, ill bC
  21. to the orher Pare taken aWvaY eCC:: ds the RC-
  22. boch must be a5 cheir WVholes vere, 1. c. equal:
  23. Whetcsere bB == ecc, and cbb = c ecc.
  24. Whicl lacter Pquation resolved into Proporrion. Mesolabium.
  25. als Wvill stand thus, 25 eb. ec : : ec. b; 6
  26. 25 A B. CK:: CK. M A. And il rou pche Lensch and Shornels ol Time, cither with
  27. relolre the formet Equarion, ic will D as
  28. That is CK. M A :: MA. BC.
  29. FHaE C HE and MI A arc Tvo Mean PFOPOT-
  30. tionals betrveen AB and BC. O. F. D.
  31. cermed the Measure-Note, Or Pime-Note.
  32. MEASORES. Ichoushr ic vould bea vers
  33. Acceptable Thins co che Reader, 10 sel s hc
  34. A cno LIC
  35. E0 cach other.
  36. BOck, 11Z. = ee
  37. ec. b. : b. c.
  38. rhichis thus:
  39. etangle, drains che Diagonal eo find the Poine
  40. X, aud producins B A and B C BOch Ways 10.
  41. Wards ML and IE; For chen sX a Rulex on the
  42. Centre L, and chere turn ic Forward and back
  43. ard, rill vou find by the Compases MI X and
  44. ZK are equal; and THen A M and C K are
  45. the Lines ToueHt.
  46. Another Mechod For Which, Kutocius alo men-
  47. tions, Which scems more Practical; which is.
  48. Fomiake a Semi-cirele on A C the Diagonal of
  49. cheRectanole, chenthe Morable Ruleris placed
  50. Forwards and backards rill L M (by the Com
  51. Passes) be foune equal 10 N R, and chac ilt
  52. sire che Poines M and IE, and consequenely che
  53. Lines A M and C R required.
  54. TTow tosnd Pwo Mean Proporrionals by help
  55. of the Cissoid oE Diocles, and by TWo Parabo-
  56. hb -] = cc, there ill remain la s, (wtich WaS Wenechmus his WaY) see Scur-
  57. mius Mathesis Enucleata, B0Ok2. PrOP. 2T. Con
  58. sect. C5 Scholium. Des Cartes doch the Tame
  59. Thins by help oF One Parabola ontr, sec nis
  60. Geometry P. 9r. and as manr as von pleale Dy
  61. var, vhich sec in p. 67, 68 oF his Oeometry.
  62. Much moie ot chis Hacure zoa have in sluscus
  63. ROOES Or Lines M X and XK must be equal
  64. mainder eb b. is ro the Remainder eecc; and hele of a Curre Line senerated atter a peculiar
  65. MEASCTRE, in Musick, is a Ouaneits OF
  66. respect to Nacural Sounds, pronounced by ele
  67. Voice; ot Arciticial, drann out ot Musical In-
  68. Wrhich is in plain NVords che Proposition, viz. struments: Which, Mcasure is adjusted in Va-
  69. rieer ot NTores, by a coristane Morion of che
  70. Lat et LOO, adun et up, successirely and
  71. On erhich Demonstrarion is Founded rhe Me-) equalles dirided; (0 that cveri Donn and Dp is
  72. chanical WVar OF Futocius, Lib. 2. De Sph. andi called a Time or Measure, Wherebr the Lergrh
  73. Cylind. For findins Zuo Mean Proporcortats, ot a Semi breve is mealured, which is cheretore
  74. Vieur an AccOunE OL TC AncienE and Pretet
  75. Measures oF several PATES OL the WVorid:
  76. Which cheretore L’hare here siren him a5
  77. occationals colceled inem trom ihe Best Au.
  78. CHOTS.
  79. so c Giren Lines AB and BC in 2
  80. li e, ad betore, and compleae ihe te
  81. CaglI
  82. ed t
  83. 10
  84. 1 53

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/806933011:0502?run=74