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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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The machine reads it as

  1. atgle GR (BV 5a2 Lvel.) and as triil presene-
  2. Iy appcar, il vou rey ic Alsebraically atrex ete man-
  3. ner oF che Demonstrations in chac B0Ok. Wherc-
  4. lore chese cvo Remainders must be 10 eacti orter.
  5. 25cheir Wholes: : (1. c.) a5 che Square oF C F 10
  6. the Square OF F O:: Or aS C F Square: F O
  7. Square. And ihen ic will Aaria cus;
  8. CFB: FOO: CF O: Rectanete DC H
  9. Or Inversely: AS;
  10. EOD: CFD:: Rectangle OGR: CFD.
  11. Thac is, ehe Square oF F. O, and che Rectangle
  12. OCR, hare etie Paie Proporrion to the Pame
  13. chins, and consequeney are equal one 10 ano-
  14. THCF.
  15. And ehis will Be che Case everr wwhere, let che
  16. RGymptores run never. (0Far. And sinee the FuT-
  17. thec vou eo trom the Verrex ot che Anple C, che
  18. lonxer must che Lines CR, Pr, OF necessitr groir,
  19. Forthe Square oE s F (che Ordinate) i5 = 10
  20. the Rectanple D F R (By che Hyperbola:) WVhere.
  21. fore che Rectarsle D F P (= Square F 5) I51O
  22. che Square FC, a5 Lacus Transversum, Is eO L arus
  23. Rectum oF ehic Hyperbola C F HLG; 1. c. i5 the
  24. Square DE: Square A B. Wherctore che ROOES
  25. Ot chele squares ill be also proporrional; and
  26. consequency Fs: FO:: D F: AB. The FOr.
  27. mer vo Terins oF wrhich, beins cach an Indirilible
  28. tince. ehe Rectanele berween CR and )C, is il.
  29. OE cherivo Hyperbolick Spaces, ir will Folloi, chav he
  30. vays he Tame, viz. = O P Squatc, eic Morrer wtiale Spaces are in che lame Proporrion.
  31. must CC. Fg, concinually erow; and conse-
  32. queney decreale infinicels, a5 che others increase
  33. intinicelr; (i. C.) The Curve will infinitely approach
  34. +o the Asimptote.
  35. Buc vec eher can nerer Coincide, or meet wicti
  36. one anocher: l’or it che Points C and , or 5 and
  37. J. Xc. Mould erex come ro be Coincidene; it will
  38. be as the Rectangle D F P: F G. Square : : 50
  39. vill C F Square bC 10 FG. Sgnare (For C F Square
  40. and F O Square, wonld ehien be ete same ihins.
  41. Thac is, Rectangle D F F. Wvould bC = 10 C F
  42. Square, which is urtertr impossible; as is plain
  43. FrOMI 6d 2. Fucl.
  44. Wheretore B CBB: G E HO:: DF: A B
  45. Oc C FHlG: 8C V C:. AB: DF
  46. Hencer H rou sindche Quadrature ol an Hyper-
  47. bola, ertole Parameter, and Latus Transversum
  48. are equal; rou may square any orter Hyper
  49. bola.
  50. In Pbilosoph. Pransac. N. 34. There is 2 Ouadira
  51. cure oF. chc EExperbola; by an Insinite Series ot Ra-
  52. Tional Numibers.
  53. In Numb. 53. There is a Mechod communicareat
  54. Wheretore chese Lines are erue Asimprotes, a5 by Sir Christopher Wren, Cor erindine Glasses oF an
  55. Apollonius named ehem from ehis impossibilies of LIxperbolick Figure.
  56. Coincidence wich che Curve ot rhe Hyperbola,
  57. wrtren placed in chis Posirion, Vid. Apoll. ProP. 1.
  58. Lib. 2.
  59. HIVPERBOLE sin Rhecorict) is a Figure whict
  60. represenes chings Ercater, lesser, Verrer; (90. Than
  61. in realier ches arc; and is used in Discourse when
  62. our ordinary Terms are t00 wenk Or 100 ArOnS,
  63. and carry no proportion wich our Idea; and least
  64. ve Bould spcak 200 licile, We Ay our, and Car 100
  65. much, Or ehe contrary: Asco expressthe Siritinele
  66. ot a Hlorle, onc Bould Pay he was swister thonthe
  67. Wind. TEche Ronness oF a Perlon, Thar he move
  68. Porver than a Snail.
  69. FIYPERBOLIOK-SPACE, is che Area OF SpaCI
  70. contained becwmeen che Curre ot an ZTy perbola, and
  71. che whole Ordinate.
  72. Ans LBdbolick- SpnCC C, L. LL O, lsto any orher
  73. Hyperbolick Figure oF che Tame heiphe s ch8,
  74. Cutiose Latus Rectum and Transversum, 25 in ehic
  75. ArPERDOLICOM ACOTOM, is a solid
  76. made by cheRerolucion oF che Infinire Area oF itie
  77. Space concained berween rhe C urre and the ACimp
  78. corc, in che apollonian Typerbola, curnins round
  79. thac Asymprore; this produces a Solid or Body infi-
  80. nicels lonz; aud vec as Torricellius plainty demon-
  81. Arares sho pare ic ehis Name) ic is equal 10 2
  82. Finice Solid Or Bodv
  83. HVPLRCATALEETICK Verse. See Depo-
  84. sition.
  85. HXPERCATHARSIS, is a PursC chac Worts
  86. 100 MuCh.
  87. HYPERCHIAIS, is 2 Crivical Excresion above
  88. measure.
  89. HYPERDISTLLABLE, is a Wordt OE more
  90. Syllables chan rvO.
  91. HIXPFROON, arethe rvo toles in the uxper
  92. ParE OF che OPa Polati, Wtich receive che Pirui-
  93. tous Hlumours, trom che Mammillarr Processes.
  94. and atcer cher are separared, discharee them ac ehe
  95. Circle) are equal, and also borh equal 10DP, (che Mouch. Thro chose a Branch oF che fitch paix Ot
  96. Fatus Transversum OF che Former Spacc) a5 the
  97. coniueace Anc A B, is 10 che L aciis Transversum
  98. Nerres passes coctic Palate, Vrula and Cums.
  99. HTPEREPHIBROSIS, is 100 much Sveat
  100. ine
  101. HITEERSARCOSIS, Is an EXCrelence OI Fleta
  102. in any pAEI.
  103. IREERLHYRON, in Archirecture, i5 a larRC
  104. Table usually placed over Gates Or DoOrs oF etie
  105. Doriek. Oeder, abore che Chambrante, in Torm ol
  106. 2 FriZC.
  107. ATPHEN, is an AccenE in Crammar, chac im
  108. plies Luo N’ords acc 10 be joynid, a5 Male. Sanus.
  109. u
  110. trrmiotictu

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/806933011:0429?run=74