Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

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: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. Theretore in che common Parabola y: Z:
  2. :=: 5Z: y; that is, IHC Fluxions oF the Ordi
  3. naces are reciprocallr a5 che Ordinates.
  4. Theresore it an FEyperboloid be Form d Froin che
  5. Parabola; that is, one wwhole Ordinates (10 che
  6. conrex side oF the Curre, ard Parallel 1o one of
  7. the A(ympEOteS) be 2 Series oF Reciprocals tO thc
  8. Sublecundans; and one Asymprore Being the AXC
  9. oF the Parabola, arid che orher the Verrical Pangen
  10. oFche Parabola; then the Fluxions oF che Parabo
  11. lical Ordinares Mall be as che correspondins Ordi
  12. nates in che LErperboloid.
  13. In che Vulear Crcloid, che correspondins Cir
  14. cular Ordinares beins called s, andt, trom the Ma
  15. ture oFthe Crcloid; = s-= C, andZ = 1 -1 - C, the
  16. Onantiries c and C expressing che Circular Arches
  17. But Som Mhe Nature oC che Circle s. ] c
  18. Erx = X and c + C - 2 r v =
  19. that y : Z: : 2r
  20. Er, = DX 5. So chac the FluxionS oF ihe Cy.
  21. cloidick Ordinares, are in the Racio compounded
  22. oF the Segments oF che Diamerer directlY, and the
  23. Circular Ordinares Inversely, or a5 che Rectansle
  24. under chose dexmenes, aud che Ordinares alter-
  25. nately caken.
  26. Inche Circle purrime e, C, ihe Fluxioris ot che
  27. Curre correspondins ro the equal Fluxions oF che
  28. Abscilles in and i, ve have i = , and C-
  29. and conseguenels, c: C : : : = : : 2: y; cat
  30. is, che Fluxions oC che Curre are reciprocalls 25
  31. che Ordinates.
  32. FLDXDS Clylosus, ehe same wich Caliaea
  33. passio
  34. FLDXOS Hypaticus, is a tind oF Dysentery
  35. Wherein black Chining Blood, and much Orer. HeaE.
  36. ed and corritied, a5 ic vere, is driven our of the
  37. Gurs by the Fundament: It is Pomerimes caken
  38. For a Dysencerr, Wrherein serous Marp Blvod is era
  39. cuated. Blanchara
  40. FLY. Sec Flie.
  41. FL VINO-CAME, is a Cnall Body OE an AEmy
  42. consistins oF 4, 5, or 6000 Men, and Pomerimes
  43. OF a greater Number, 25 WveIl Foot as FTorle, which
  44. continualls keepsche Field, makins divers Mori
  45. Ons, to prerene che Incursions ot ihe Fnemies, Or
  46. rotrustrate their Enterpriles, to hinder Conrors.
  47. EO harra(S Ehe adjaCenE ConntrY, and eo chrOW ii
  48. selE as occation serres, into any Behescd Place
  49. FLTINOPIHION, is a part oF 2 Clock ha-
  50. vins 2 Fly or Fan, cherebr to sather Air, and lOto
  51. bridle che rapidirr oF the ClockS Morion, Wwhen
  52. the WVeishe descends in the Ariking ParE.
  53. FOCTTE Majus, isthe greacer Bone oF the Cu-
  54. bit called vina; or che Prearer Bone oE rhe L C5,
  55. called Fibia
  56. FOCITF Minus, is the lesser Bone OF the Cu-
  57. bic, called Radius; or phe lester Bone oC ihe L es,
  58. Calied Fibula.
  59. FOCVS, is vich Tome, a place in theMelencery.
  60. Or orter Pars, utience ches Formerly deduced ilic
  61. Orisinal oC L’eavers.
  62. FOCVSOF an Cllipsis, is a Poine corrards cacti
  63. end ot the longer Aris; trom Whence rro Rig
  64. Lines beins drann ro any Poine in the Circumte.
  65. rence, Mal be rogether equal ro char lonser AXIS.
  66. Sec ipsis
  67. FOCOS OE a Parabola, is a Point in the Aris
  68. wichiin che Fisure, and distant trom che Verrex by
  69. a tourch parr ol che Parameter Or Latus Rectum
  70. 20 Sind iE, Sec Parabola, Consectary 5.
  71. It is called che Focus, because ic is che Poinr
  72. wrhere the SunsRays Wwill be unired, wbhen reflect
  73. ed trom a Parabolicke Concave, and consegue
  74. will chere burn Bodies; and hence by lome ir id
  75. called, the Burnins point. Sec more under P atd
  76. bola.
  77. EDCDS (in Opticls) or phe Foeusot a GIaS
  78. is the Point of Convergence or Concourse, where
  79. he Rays meec and crolo che Atis, atcer pheir Re
  80. fraction by che ClalS.
  81. FTou co sind this PoinE Or FOcCUS, ME. MolyneuX
  82. in his Fxcellent Dioptrica Nova, eires severa
  83. aemonstrative WayS, P48. 10, 11, 12, C9C.
  84. P. HE chere be a Body of Cla(s, Wrhole Surtace is
  85. Convex, or the Segment ot a Sphere, the Focus
  86. Wvil be distant From the Poleor Verten ot he Cla(S;
  87. almost a Diamerer and hal( oF he Conrexies.
  88. 2. In a Plano-Convex ClaS, the Parallet R ayS
  89. are unired wich che Aris, or ies Locus is from the
  90. Pole oF the Cla(S, ac the Distance oF a DiamCTCK
  91. oE che Conrexiry, il che Sexmenc be bur of 3oDC.
  92. Sices.
  93. In a Plano- Conven Gla(S, 25 707 : 193: : 50
  94. is che Radius of che Conrexier co che Retracted
  95. Raytaken in ies Concourse wirh phe Aris; Which
  96. in Classes ot large Spheres, is almost equal eo rhe
  97. Distance ot phe Locus raten in che Anis.
  98. 3. In double Conrex Glalses ot the lame Sphere
  99. the Foeus is distanetrom the Pole oF the Cila (S abour
  100. rhe Radius oF the Conreniey, iF che Segment be
  101. buE 30 DCorces.
  102. Bue iE che Conrexiries are unequal, or it the
  103. cro dides are Desmenis ot disterent ophereo;
  104. Thenche Rule is:
  105. AS the Sum oF ihe Radii oF borh Conrexiries,
  106. Porhe Radius of cither Convexier alone::
  107. Sois the double Radius ofthe orher Conrexicy,
  108. TocheDittance oF rhe FOCuS.
  109. any Ctalo, dre noc united wirh ie (0 Toon 25
  110. those Wleh are Farther of: Nor will che EO.
  111. cal Diltanco bc (0 great in a Plano Convez
  112. GlalS, When the Conrex side is rowards the
  113. Obiect, a5 on the COnFraEY. WherelOre chaL
  114. Learsed Geneleman concludes cruly; That ir
  115. vienins ans Obicet by Plano. C
  116. the Conrex side Mouse be turned ourvard:
  117. AS also in Bumins by Tuch a GlalS; Pa5. 25.
  118. FOCOSVirtual. SeoVirtuat Focus.
  119. Air Parallel coche Axis, che Virtual Focus, by el
  120. Ars Retraction, is aerhe Distance oF a Diamerer
  121. aud a hals oE che Concariry.
  122. N. D. The Rars irtich FaII ReATEF IHC AHS OF
  123. 1. LI. Concare-tastes, Weh d Ray talls FTOn

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/806933011:0345?run=74