Leibniz Legible

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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: 0.86.

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The machine reads it as

  1. considered.
  2. Breadths.
  3. M Lcienes or Mulcipliers; and cheretore must
  4. makre ehe Products De in the lame Proporrion a5
  5. e Mulciplicand was betore
  6. Thus it che equal Alticude ot any evo Trian-
  7. sles, Parallelopipeds, Cones, 690. De called a and
  8. their unequal Bases b and d: Then by che L3Th ot
  9. placed amons che Elements oE Geometry.
  10. AS F Y
  11. oles will be to eacH other, 25 3 X 5 (= 15) 15 10 L sna lo LSht Lines, inhose sum and Difference
  12. clans les ate voone aroitter in a llatio compoundee
  13. OF char oF chest SIdes.
  14. portion ro the Ratio of the Sides.
  15. is siven, Reciprocally proportional to o siven
  16. Lines.
  17. Os ihe Proportion os Fieures
  18. I. To find the Provorrion thar one Rectangle
  19. haeti co anortier, boch Lenerh ane Breadihmulebe
  20. For Rectansles are ro cach ocher as the Products
  21. For ihe Bales, or Fleipts, vill severally be com-
  22. ol cheir respective Lenertis mulciplied by their Proporcion (abore) b. d:: 4b. a d.
  23. Thus, is rhere BC EVO RectanSles, ThC FOrMeF OF This Problem Beins OF ConSanE DSC, OupHE tO bC
  24. ohick HaTH IES L CHOEH G InCHCS, TataS, ∞C. arid
  25. iES Brcadch Z TncHeS, TaFaS, OC. aha che lateP
  26. hath its Lensetr 8 Inches, Tards, (9c. and its
  27. Breadth, 4 Tnches, Tards, (90. Thenthe Rectan-
  28. X 8 (= 32) 1. c. 25 15IS 1O 32. So thaF aII R C-
  29. Lec the ero siren Lines beb and c, and lecche
  30. Sum ot the tro Lines Cought bCZ: Tis required
  31. t0 find a Point wvhere Z mar be (0 divided, 25 chae
  32. 10
  33. 2. Wrhen Rectangles have cheir Sides ProPOrri
  34. onable, ((0 thal a b: ch: : a d : c f) then iS F
  35. Rectangle A, 1o the Rectansu B, in a duplicate Pri
  36. mm
  37. First sindma inean procboat bellcen b andc
  38. let talt m, ana uaW K: Lhen, lCay, a and e are
  39. ine Sesents sequired: LOr a e = m m = b c.
  40. Which ercet perpendiurasss al cicher end ot L
  41. Ora a Parallelto Ly aie Wsere it cues the Circle
  42. ti
  43. FOr the LLaTIO OF A tO B, Lo COMMPOMIdCa Ot the
  44. Ratio oF ab, t0c h, and oF the Ratio oL a d, 10
  45. Bur in this Case a dsWeB, inthe very lame
  46. Ratio a5 a d IS EO e F; and cheretOre che Proxorrion
  47. et A co B beins componnded et those tvo cqual
  48. Rarios, must be duplicare oF the Ratio oF rheir
  49. Sides ro cach ocher; thac is, duplicare oF the Ra-
  50. tio ot ab r0 eh, Or OE a d 10 ef. D F. D,
  51. Flence all lriangles, Parallelograms, Prisms, Pa-
  52. rallelopipeds, Prramids, Cones and Cxlinders are tO
  53. one another respectirely compared, in a Proportion
  54. compounded of that of their Fleishes and Bases.
  55. 3. AII Friansles, and Paralleloorams, Pyramids,
  56. Prisins, and Parallelopipeds; al(0 aIl Cones, and
  57. Cylinders, cach kind compared amons themsetres
  58. IF cher hare equal Altitades, are in the Tame PrO.
  59. perrion 25 cheir Bales: IEchey have equal Bales,
  60. are as cheir LdeieHIS.
  61. COROL. L. A R Y.

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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/806933011:0670?run=74