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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: 0.88.

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  1. carries a Flair, and Mens by Inspection, che sun s) sular Section by che Axis, ehen he Wvilt be ma-
  2. Meridian, Alticude, Riche Ascension, amplitude.
  3. nifest, thaF che Fyperbolick L ine C. LFI is cistan
  4. Oeclination; time os his Risine and Setring, _cc. Cach way trom the Asymprores BC, B A, by etie
  5. to oreater nicety chan the larpest Globes non
  6. made.
  7. lenorh ot che verred Sines of the Rqual ATHS BC
  8. and e A in the Circumterence ot ehe Circua
  9. ASFRONOMTCAL Numbers: See Sexagesimal BasC OF the COnC; and THAE ZE ThC late FitC sl
  10. Fractions.
  11. ASTRONOMTCAL Place of a Star or Planet,
  12. is IES Lonenac ot Llac IH che CCMprick, reckon
  13. ed from CC DCGHIIS Ot Ares, in Consequentia,
  14. OF ACCOTAIIIZ IO LRC MaLUIEAL Ordet OF the SienS.
  15. comes, it produced, stiII BeRTer ANC RCATEF d
  16. chem. And consequeher, Tlar
  17. F. RG and FFS, Or AC and IY C BCmZ adW2Y
  18. equal eo one anorher; 25 are al(0 EhC OrdinaLES
  19. G F and FTI, _C. ThC RectanBles RGS ana
  20. ASTRONOMIOAL Ouadrant, Is an InAru- SFTR; AGC and C EP G Wriil alivays be resve
  21. mene curtoun tramed, and the Degrees exactlr)
  22. Ctively equal to one anocher.
  23. and minurely divided by che help ot a Screw on 2. Thé Curve and che Asymptotes can nevet
  24. the Fdse ot the Limb, ficred ich Telelcopes, meet, because the Circles generared by LQ anc
  25. and cirhex apply d ro a Nall in che Meridian on che Rines Benerared by RS, H C, ecc. (irtiict
  26. a Arone Axis ox Pedestal, wich evo Semicircles vill arise trom theP.
  27. placed ac Riyhe Angles on co endless Screns, maginary Rerolurion ot
  28. Whicti readily direct or guide the Instrument ro chewhole Figure round
  29. FaKC OBICLVaLIOIIS OF FhC SUn, MOOH, OF STaES.
  30. ASFHONOML, IS a MatheMatical Science,
  31. the Axis F B) WvilI 21.
  32. vays be equal 10 onc
  33. reactiins IHC Knowledee ot the scars or Fleavensy anocher and eo the Cir
  34. Bodies, and cheir Maenicudes, Mltances, Felip.
  35. cle made by the Rero.
  36. Ses, Order, and Morions: By some ris caten in lurion OF che Radius
  37. 10 larse a sente, a5 FO COnLAIM In IE alsO the DO-
  38. etrine ot ihe Mundane System, the Lawus ot the
  39. Planecary Morions, (90. Which ochers reckon a5 a
  40. rable.
  41. F 9, 25 is plain b
  42. comparine chis laAFi
  43. Bure wich che Former,
  44. n N.
  45. For che Spaces gene-
  46. rared by the Lines F. 9.
  47. FC, _c. will Be a5 the Squares oF cheir Diameters.
  48. or ofche Generarins Lines. Buc ris cerrain, châc
  49. the Square oF F h Or OF F C exceeds the siguare
  50. approach nearer ro cach orter, bur ino Locinued OF FFI, by the Square ot h FI Or f F; chac is, by
  51. the Square oF P. Q, by che Suppolicion abore;
  52. ny kincs, as the Curve ot the Conchoid, _cc. bur it Wheretore the Circle generared by che Morien ot
  53. may beenouss lele lo mention che lamous
  54. ASTMPTOTESInCO-
  55. F C Will exceed thar generaced by FLB, by tB~I
  56. Circle generated by L O: Bur the Space genera-
  57. nick sections, Which are red by F C exceeds thac generared by FHI, by
  58. che Lines O5 and OR:
  59. wvhich are thus dravn
  60. imasine in the Fyperbo.
  61. la, che Second Or Conju-
  62. jusate Axis P Q r0 de
  63. Scend, AiI Keexins P2-
  64. rallet eo che Ordinates,
  65. till ic couch cheVertex ot
  66. the Ring generated by FTC; Wheretore chacline
  67. made by FC must be equal co che C ircle made
  68. by F Q, DF D. And chis will alvrays be 10
  69. and cheretore the Line TTC can never gro oF nO
  70. lenerh, and consequenely che Curre and the A-
  71. Symptore can never meet.
  72. There are orher Asymptotes ro other Curves, ans
  73. thoueh che Parabola hath no AsimptotC, yeE LS
  74. the Section E, For then, Parabolas may be dravn Asumpeorically ro cacte
  75. if chroueh the C entre O Other.
  76. The Followins general Obserrations abonc A
  77. Linc p 9. These are che famous Asymproles men- symptores and asimpeoricke Curves, Lhad Commeni
  78. cared Trom ME. Trumphrey Dicton, a perlon Decu.
  79. liarly stiltul in chese Marrers, and are as tollons.
  80. Some General Observations about Alymptotes,
  81. and ACymprorical Curres.
  82. PaEE OF PHyHCKS Or Lracural Philo(ophy.
  83. bility: Which lec
  84. ASVMMETRAT, IC LaLR M Incommensu
  85. ASTMETOTES, are Lines WwhiCM comcinual
  86. Intincely can never meet. Ot iele rhere are ma-
  87. ASYNMETRY, eie Came wich Incommensura
  88. rou dram Lines chroush ine enus oF ehis Tangent
  89. tioned by Apollonius, Lib. 2. Prop. L. and ot whicti
  90. he demonstraces, char chough insess produced,
  91. and chough the Curre come connually near-
  92. et and nearer ro chem, ver can ley never be
  93. Coincidene wich che Sides oF che Fyperbola, nOr
  94. ever meer ic, or touch ic; whence comehthele
  95. lame OE Asymptotes: And by lome LACM MLIIErS
  96. chey are called Intactae, For the lame realon. Lhis
  97. Non-Co-incidence appears very plasus, wtiere the
  98. Triangular Section ot a Cone Dy FhC AZ.
  99. Supeose aloHS cC LIne
  100. L. Lhousa uE be cercam chac all Tucti L urres as
  101. have Alymprores, De ot che Number oE chole
  102. wtrict (rumnins on in Infinitum) do noc include a
  103. Space; ver ic is nor rrue, on the orher hand, chac
  104. where erer ve hare a Curre of thac Nature anet
  105. Properey, ve find an Asymptore aI(O. For this
  106. ef Parallel co B F. For infinire Continuarion of che Curve is visible in al
  107. thole oF che Parabolick Family, and ver none ot
  108. perbola seh, to bemored all chese ean hare an asymptote; chac is, noc any
  109. oFWata PaFAHeL 1O sE seIF
  110. Righe Line placed in any position co the Curve
  111. as fac as the lenort ot the can infinicely approach eO it and peF HOE CUE iF, 25
  112. Liqual and Parallel Lines.
  113. CoMLC COOC Ia ClL LC
  114. is noc hard eo be demonstrated.
  115. TI. OF those Curves rhat have an Asymptote
  116. Tome chere arethac havetwo, orhers chac haveon-
  117. On GF FY, Or 10 be co- ly one. Instances of the former Kind are all che
  118. merdems vuict _e Luia.) Corio ot Hyperbolick Cueres, uhich tom be ci
  119. Section of the Fyperbola is madte parallel, 10 che
  120. it you imagine che LIy.
  121. C, fF, E 4, BFF, riIl ir

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/806933011:0092?run=74