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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: 0.85.

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The machine reads it as

  1. rom) and is in Nords thus: s Rectan-
  2. sle under theSides of ihe Cone Wothe Square
  3. of the Diameter of the Base :. S0 is the Di-
  4. stance betreen the Verrices Ihe Cone ana
  5. of the Section, to ihe Lacus lcctum.
  6. TII. Pravis J. Flence it rou have the Verte
  7. describe ic on a Plane.
  8. in that cake as mans. Abscissae a5 ou please
  9. then find berwmeen chem ely and che L. a
  10. tus Rectum, (0 many Hean Proporrional
  11. Wohich it rou rigliely apply co che Aris il
  12. and Parameter oF any Parabola, ris eaHC LC
  13. For dran a Riehe Line For theAris, anet
  14. N O F A F LO N.
  15. Tet the Side A B fOF the ConC) be a Che
  16. Side BC == b, the Diameter of the Base AC
  17. = c: L et S B be called o a and E I == e b
  18. Wheretore the Frianeles B C A and F IV
  19. beins Similar, B C (Or b) will BCFO A C (OF
  20. C):: 25 F L (= e b) iS FO NV L a FOUTTH PrO.
  21. portional; Wohich in chis Nocarion will be 2)
  22. Or CC. THeretore N I = ec.
  23. AIo because che Friansles A BC and BF P
  24. are similar, FP, or irs Equal IO wil (rhis
  25. Wvar) betound t0 bc05.
  26. DEMONSZ RAFFON.
  27. K F is a Mean Proportional berween N L and
  28. EO, (the Seomenes oF che Diameter co which
  29. it i5 perpendicular) Wvheretore chC D OF TK
  30. NVTO, Wrhich in chis Nocation is eoc0.
  31. Diride Theretore e00c bY the Abscissa E I == c b,
  32. ihe Ouorient is =, = Wwtich must be ehie L. atus
  33. Rectum: Forirmulciplied into che Abscissa maties
  34. eocc the Square oF che Ordinate LH. And
  35. From this Fqualier Berrveen the Square and the
  36. Rectanste, Apolonius save chis Section che Dame
  37. OE che Parabola.
  38. cOROLLAKIC.
  39. J. Ftence may che Laus Rectum De Tound
  40. very casilY, iF 1D b, C, and 0c, (thac is,
  41. to the Side of the Cone parallet to the Axis of
  42. the Section, toche Diameter of the Base; and
  43. 2o che Latus Primarium,) You tind a Foureh
  44. Proporcional; Cor chat will De LE chePa-
  45. rameter, DE Latus Rectum == P L.
  46. I. And il sou mutripir che Parameter
  47. both abore and belor che Line by a (the
  48. Side ot the Cone in wrtrich is etie Verrez
  49. Ot the Section) vou will hare chis Ouan-
  50. ridy
  51. 40cC
  52. . Wrhick may easily be resolred
  53. into these Proportionals;
  54. ab. cC:: a0.
  55. 0c0
  56. occ
  57. Wrhich sires Apollonius his Canon eo sind
  58. he Lacus Rectum, (L.ib. Y. PFOP. 1I. Bar.
  59. be semi-ordinates; and laslY, chicix Fnds O
  60. Lexcreams ucaus sertus a sete rhe Curre
  61. OE che Parabola
  62. NV. Praris 2. Flarine e rertea. aliet A
  63. ca17,
  64. dinace, L0 find che Farametor, Scomerei
  65. Apply righely che Semi-orallate R L
  66. and cake From the Verrex O, L L == LR
  67. Ttien chrough F draw a Parallet (a5 LL L
  68. to che Ordinate PK, and produce OR 10
  69. LL; (0 wil FIC DC che l’arameter Ol Larm
  70. Rectum Toughe.
  71. For itie Frianeles OK L and OHF
  72. Octne similar, FI. LIE :: FF (= LL). CL
  73. And conscsuens L LL ls a cumaneter.
  74. V. And Mce che Parameter in chis was. OL
  75. Nocation is =, let il in ehe last Fieure
  76. callece Locus bt che Parabola: L. N wis bC
  77. 0c
  78. OceCC
  79. iotict diri–
  80. be applied eo che Parabola in ihie Posirion
  81. C MI. Then vilt N be che Poine erhich is
  82. b 6 Squara
  83. 0c0
  84. dect D) Ie Paramerer B Bires De E02
  85. the Abscissa L. I. S Sers that ihe FOCHS
  86. is alvays distant from u Vertex os the Paxa
  87. b0la by os ihe Lcrametet.
  88. VI. PraxI 3. FLaVHIB Cus Bained MMC FOCUS
  89. he Curre ot a P’arabora may be described
  90. ver more eatlr and readili: IF rou drai
  91. turtc che AxIs OF (L18. last) and rhen an
  92. Ordinace in any Poine, 25F. Atrer chis rake
  93. che Abscissa O F in jour Compalses, anc
  94. Cettins one Fooc in che Focns HV, crols etie
  95. Ordinare in C, (0 Mail che Poine C bc in
  96. che Parabola. And chius may as mans
  97. Poines 25 rou wilh De spcedily found.

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/806933011:0595?run=74