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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: 0.82.

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The machine reads it as

  1. L. Y
  2. And the Square ol Li 100DVL 0cbb
  3. cc bb - 0 b m -) - 2 e b m-
  4. Square OF LK, Wuhich (BY Cor. C. OF the precedent,
  5. aSocbb = ecbb- + emm, 4mmec
  6. 0c
  7. Sum will BC K PT Square, Cor Ehe Square of che
  8. Ftyporhenuse) which i5 = = 0 0 b b =- o b m -
  9. 2 cb m mm-+ emm 4eem m
  10. And Square HE n = 200bb = ob m - - 2 ebm
  11. Imm (temm, +ec m
  12. And consequently Fxtracting Fhe RLOOES OF thole
  13. Equations (Which is very casic) rou illtiare RV
  14. = = 0b m - = and K n = = 0b = m
  15. 2em
  16. Wrhich evo added cogether, are manisets egu
  17. 200b, the Trantverse Diameter. Q. F. D.
  18. Way uled Dy Gardeners, Xc. to describe Ovals Or FI
  19. lipsis sby truo Pins in ehie Transverse Diameter at
  20. andn, and a Serinsmordabouchembr a tin ast;
  21. Wheretore the Square oF LN = = 00b b -
  22. LL Compasses, IS an Intrumenemade
  23. isi BraIS, 10 dra at one Rerolurion oF ce LICI.
  24. 2nY ECPLSOT Oval.
  25. ELLIELLCAL Dial, is an Instrumene macie
  26. commonly oF Brals, ich a Joyne ro Fold tosether
  27. ance Chomons co Fall Aac, commodioussy con-
  28. trived to tatce licle room in che Pocket; by id
  29. tmar befound che erue Meridian, Llour of che Day
  30. Rilins and Serring ot the sum; irh sereral orter
  31. Lroposirions ot cheGlobe.
  32. TLLIETICAL Spacc, is che Area conained
  33. wichin the Curre oF the Fllipsis.
  34. The Elliptical Space d a cb, is to a Cirele deseri
  35. bed on che Tranlverse Axe dC, as the Conjusare
  36. Diameter, Ot Axis Rectus ab, is co che Transvexle
  37. Are d c.
  38. oc bb - = ce b b - - 0 b m =- 2 c b m - m M
  39. Nou is ro cach oF these Squares pou add thS
  40. COROLLARET
  41. From whence arites the Realon Ot che C
  42. For by ehis means the Point F willalways Be inehe
  43. illipus; and since a Circle is delcribed by a ol
  44. imorins ound onc Pin placed in the Centre, ris
  45. plain a Circle isan Ellipsis, wotiole Foci are cet
  46. dent.
  47. Draio so, 5n, perpendicular 10 C
  48. Tlen vill 50: fc: : 5,n: 8 c.
  49. 2
  50. 2
  51. C. bMA
  52. COROLLARY H.
  53. Elence also ris eatie ro describe an Elixsis on
  54. Plain Geometrically; Oy os Sealé und Compass
  55. b: Al. 9201913) (W
  56. Butchis Proporrion olfo: 5n:: ab: de, wiltue
  57. erue wherever che Perpendiculars fo and 5 n Arc
  58. drawon; chacis, OE aII ehie Indirisible OE ME OHLEI
  59. CMCsC ana FsipIIS: Pherctore che llane spaces
  60. made our of chem must in che ivhole De in etre lame
  61. othe Circle, is as che Conjugare ab, r0 the Prari(
  62. verse Diameter dc. D. F. D.
  63. COROELARES
  64. Proporrion to one aotet. LMar iS, The FIlipsis
  65. WMeretore the Ouadrature oF the Fllipsis ill. be
  66. hac, wohen chac et che. Ciscle io cound, qod vise
  67. versa.
  68. LDROLLARV, H.
  69. Eor havins dravon etie Axis Fransversus D F, and
  70. in it catceri che Foci n and NI; ac a distance nOE
  71. chan hals che Transverse Axis, Wich che Compasse
  72. in A Arike an Ak, 25 f, and sex ctie lamie discance
  73. FrOm L1OG
  74. Then openinsche Compalses to the remainine di
  75. Stance C L, wich one foor in n crols the Ark F, anc
  76. char Fomewill be inthe Elliphs, and thus roumaz
  77. hindt temanu Conto ne poupteale, nieh all icadineto
  78. milar Figuse on a b, de Wee of che late
  79. The Ellipsis is a Mean Proporrional Berween che
  80. kind on des 25 a b eo a chird Proporrional; 1. c. A5
  81. che Edipsis is ro che grearer Cirele, s0 is the lesser
  82. Ciecte 10ie, vir. 30 ab10 dc.
  83. ereater and lesser Circle. For a Circle, or any Si
  84. as abte.

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/806933011:0290?run=74