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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: 0.89.

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The machine reads it as

  1. R
  2. 3. Fle sewstheNPature, ILe a
  3. Morrar.peices, Wich cheir Complications and
  4. Relarions.
  5. 4. FIe considers the Method OF Shoorins Cre-
  6. nadoes out ot Lons Cuns, wirh cheir Manitold.
  7. Dles, (9C.
  8. And nou, verr larely, chac Fxcellent Work
  9. Man NIr. Zohn Romley, Mathemarical Instru
  10. ment Maker under Sc. Dunstans Church in Flcet-
  11. street, hach contrired a Method ot purtins an
  12. dersonsTables uxon a Scale; irhere bnomins
  13. only che urmost Random oF any Cun, rou have
  14. byInspection the upper and lover Flerarions thac
  15. are necessary to chro the Shor to any altigned
  16. Dictance Wirhin che Reach of chePeice, and vicc
  17. versa.
  18. In che Zear 1690, Anderson Publisec ano-
  19. cher BoOK, enticuled, T0 hit a Mark as mell upon
  20. Ascenes and Descents as upon the Plane of the FIo-
  21. rizon: And in che Pretace he cakres norice oF Arch B F, and A the Cenire: Dram the Radir
  22. WhatMIT. BCondell, Mariorre, Perault, and FaL AB, A F, A C, andche Chord B D C, and let
  23. ley trare done in this Matter; and agrees wich Fall B P. Perpenatcular 10 A C, and the Angle
  24. Cavallerius, to besin eo acconne the Curre oF) BC F, will be equal ro che Ansle ABD, and
  25. the Shor ro be a Parabola, just then wtere the the Triansle BC li, will be like co the Trian-
  26. Force leavesthe Thins projected; and the Line sle BD A: WAcretore ic will bC aS ABEOAD,
  27. OF Stior ro that place, he CallS, The Line of Im-
  28. pulse of the Fire, and for easc ot Calculation,
  29. takces ic for a Righe Line: Onty he Cays, That Areh. And 25 A B+0 BD, Potvice BD OFBC
  30. the more irregular the Fipure ot the projected E0 E C, that is as Radiusto Sine, (o trvice thar
  31. Body is, che longer che Line will be, betore il
  32. Passes into its ParabOla.
  33. Fe Laith, ater 15 Tears Experience (in which
  34. are hie Propolicions corcamed in ihe Lemma 10
  35. time hemade lome Thoulands oF Shors) heknousbe proved.
  36. hour ro Aind che Line et Impulse ot Fire, and
  37. HO EO CarEY etre NTatrer on, on che Principles
  38. oF Galilaeus, and can hic a Mark noc only on che
  39. Plane ot ihc Horizon, BUE uxon AICenIS and (The Roromal Distances os Projections made wich
  40. Delcents, accordins to Machemarical Princi-
  41. ples: The Mechod ot which rou hare in tiis
  42. B0Ch.
  43. The Fearned Mr. Talley, in Philoso.
  44. phical Transactions, Number 179
  45. havinz proved the Motion of all Pro
  46. jectiles, 50 be in the Curve of a Para
  47. Bola, Cwhich jou will find under Pro-
  48. jectile) Premises this Lemma.
  49. That the Sine of the Double os ant
  50. Archu is equat to tvice the Sine )
  51. that Arch into its Co sne, divided
  52. by Radius; and the Versed Sine o)
  53. the Double of any Arch is equal to
  54. the Square ofthe Sine thereos, divi
  55. ea by Racire.
  56. Tex the Arch B C (in Fis. Y.) Be double roche
  57. (o BC or trice B DIOBF, thac is ds Radiusto
  58. Cosine, 10 ev, 10 Sine ot the double
  59. Sine to the Versed Sine ot the double Arch;
  60. wrhich trvo Analosies resolred into Equarions.
  61. PROPOSTTTONL
  62. the same Velocity et several Elevations of the
  63. Line of Direction, are as the Sines os the double
  64. Ansles os Flevation.
  65. Let OB (Fis. 2.) che FTorizonial Distance be
  66. che Sine oF cheAnole oF Eleration, FOB
  67. S, IES C0- sinC = c, Radius = r, and chc
  68. Parameret = p, ic will be 250105: 50 Z10
  69. =FB =CC, aul by renten et ie Par.
  70. b0l2

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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/806933011:0582?run=74