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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: 0.91.

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The machine reads it as

  1. FOT A is made By che Bulriplication oE b a ire
  2. Base byche Line be; and B is al(o made bY MuI
  3. ciplrins cb ies Base by che Came Line b e (Or its
  4. equal cf.)
  5. Buc che Product ot any rrvo Numbers Mutcipli
  6. ed byrhe same Third Number, are as those Num-
  7. bers vere co each ortier betore Musciplication.
  8. Theretore,
  9. 1: B: : ab: bc. D. F. D.
  10. Fence all Rectansles, Or Parallelozrans, Berweer
  11. the Came Parallel Lines, or Wwhich tave che same
  12. Flciehe, must be 10 one anortier as cheir Bales
  13. arc.
  14. Forthey are all equalto Rectansles, on che lame
  15. or equal Bales wich chemselres, and consequeney
  16. must hare che Came Proporrion t0 each Ochet, 25
  17. Tuch Rectangles; that is, be to cach ocher a5 cheir
  18. Bales. 8. F. D.
  19. And che Came thina must BC ErUC OE all Frian
  20. Eles chac are becwreen the lame Parallels, or which
  21. have the Came Feighe; because ther arethe halres
  22. Ot chole Parallelorrams. Sec che Fisure.
  23. Suns Piace in the Fctiprick on the Globe, ce che
  24. Sraduaced Side oF che BraIs Mexidian, 10 eterare
  25. ihe Pole abore the Florizon, 25 much as is the L a-
  26. lricude oF thePlace, and co sc che FTour Index exacHy
  27. corvelre at Noon, scremins alloche Ouadrant ot
  28. Alticude, (iF there De occalion) 1o che Zenith. AII
  29. ehiis is comprehended under ihe W ord Rectifi. IhC
  30. Globe: And wvhen chis is done, che (Celectial)
  31. Globe representsthe true Potture of chie LlCavens,
  32. For the NoonOF chac Dar ic is Rectifred FOF.
  33. RECTIEIEK (in Narisation) is an Instumene
  34. consistins OF EVO ParES, Which are evo Circles ei-
  35. cher laid one upon, or lec into the other, and (0
  36. Fastned rosether in their Centres, That chCy repre-
  37. sent vo Compasses, one Aixed, the ocher move-
  38. abse; cach ot them divided in the 32 Points or che
  39. Compass, and 360 Degrees, and numbred boch
  40. ars, boch trom che Norrh and the Souch, end
  41. ins ac the Past and WVest, in 90 Desrees.
  42. The Fixed Compass reprelenes che Forizon, in
  43. Wrtichche Norch, and all’ ihe orter Poines of che
  44. Compass are tixed and immoreable.
  45. The Moveable Compass reprelems the Mariners
  46. Compass, in wtich che Norih, and alI che ortex
  47. Points are liable eo Variarion.
  48. In the Centre oF the Moveable Compass is Fastned
  49. 2 Silk Thread, lono enough co reach che ouxlide oE
  50. the Fixed Compass. Buc it rte Instrumene be made
  51. ot Wood, chere is an Index instead of che Thread.
  52. Irs OPeis to find che Variation of the Compass, 10
  53. Rectisie che Course ac Sea; havins che Amplicude
  54. Or Azimurh oiven.
  55. REOTIETINC os Curves, (in Mathema-
  56. ricks) is eo sind a Arair Line, equalto a Curved
  57. One; or a Plane equal ro a Curred Surtace.
  58. OE chis Dr. WVallis sare the Frst FTinE tO the
  59. Vorid, in his Arichmerick of Intnires, Prop. 38.
  60. C9 Scholium.
  61. Soon atrer which NIP. William Neil axplved
  62. those Considerations to che semi-cubical Paraboloid,
  63. Where che Cubes ot che Ordinates, are 25 che
  64. Squares oF the Diameters: And Meved char there
  65. the nall Segments oF che Curre, cur by ttre Ordi-
  66. nares at equal Dittances, are as che Ordinates in 2
  67. Parabola; and cheretore their Squares encreasea
  68. by Eiquals, in Arichmerical Progrestion: Where-
  69. Fore chac Curre must be 10 a Righe Linc :: 25
  70. the Frunk of a Parabola, cothe Parabola: Wrhich
  71. the Ouadrature oF che Parabola beins known, is a
  72. RECTANOOLAR, or Rishr ansled is spolen Hnonn Proportion, and chis wvas che tirst ACemPE
  73. OF a Plain Figure in GComerer, When one Or more oEthis NaturC. Buc ic Was atrerwards (oon de-
  74. ot irs Angles are ristie. OE Solids, tis spoken in
  75. respect oFcheir Scituacion: For it cheir AXIS BC per-
  76. pendicular to che Plane oF the Horizon, ther aic
  77. cheretore Rectangular, Or Ristr Cones, Cytin-
  78. ders, (90.
  79. RECIANEOLAR Section os a Conc, by chis
  80. the Anciene Ceomerers alvars meane a Parabola,
  81. Wrhich Conick Section, betore Apollonius, vas onty
  82. considered in a Cone, whose Section by the AXC
  83. vould be a Friansle, Righransled ac che Verrex.
  84. And hence ic Was cha Archimedes entituled his
  85. BookoFthe Ouadrature of the Parabola, (25 tis no
  86. called) by che Name oF Rectanguli Coni Sectio.
  87. RFCTIFTE, OE Rectification, in Chymister, is
  88. ehc Distillins over asain of any Spiric, in order 10
  89. a more finc, and pure sare; and Eo separate From
  90. monstrared also by Sir Christopher Wren, my Lord
  91. Brouncker, and by Dr. Wallis. And the Year FOI-
  92. lowins, viz. 1658. Sir Christopher Wren Mered che
  93. Curre oEche Crcloid, 1o be Onadruple otits Axis:
  94. Wrhich was the second Demonstration OF a Scrait
  95. Finc equal ro a Crooked onc. OF which sec
  96. DE. WVallis S Fnstist AlSebra, P. 292, (9c. Sec more
  97. also in his Exceltent Book de Crcloide.
  98. REOTILINEAL, or RighE lined, in Geometry,
  99. is sposien ot such Figures as hare cheir Exrremities
  100. aII Righe Lines.
  101. RECTT Minores, are ENO Cnall Muleles oF thC
  102. FTead, appearine Boch in BighE ac once: Ther arile
  103. Aesty FrOm che POsteriOE PAEE OF chC AEA Vertebrae
  104. OF the NecK; and are C0 inserted to che midale
  105. Parr ot che O5 Occipiris in ruo Mallon Deprectures
  106. IE any Fleteroceneons Parrs, chac mighe rile wich ir oF che Caid Bone. Theletrom cheir VCe, may De
  107. Betore.
  108. Called Renventes or Nodders backvards, and are
  109. RFCTIEIE, is a ord uled in che Descriprion Antaconists rorhole we call annuentes.
  110. and use oF GIobC, or Sphere. FOr The Ars ThinE, REC FO, i5 a WVrit oE RiohE, and is oF s0 hish 2
  111. to bcdone betore anr Problems can be wroushe on, nature, char wwhercas ocher WVrirs in real Actions
  112. che Cilobe is 10 Rectisie it. Zhat is, 10 brins che) arc onty corecorer che Posselion Ot Lands or Lene.
  113. HenIS
  114. AII Rectangles, (25 A ane B) Wwtilch have che
  115. Came heishe, arero one dnoiter as cheir Bales.
  116. TRaLIS,
  117. A: (B:: ab: bc.

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/806933011:0700?run=74