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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: 0.87.

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The machine reads it as

  1. STMTLAR Rectaneles, are those which hare There
  2. a ab: eb:: a d. 63.
  3. sides abour rhe equal anxles Lopocrat, cal lo,
  4. M......10011220101 1102 1000 2 00 02
  5. As it the Angle a be equal eo d che Anee c e
  6. qual to e, and the Angle B equal to f; chent Lhe
  7. Priangle a bc similar or like r0 df c: And chem
  8. the Sides about che lqual Angles are alvass PrO-
  9. portional; chacis, a b hach che lame Proporcten co
  10. 6 25 f d hach e0 d e, and is chus vrirten,
  11. : 5d. d co
  12. TTON
  13. All Similar Friangles, have cheSides abour cheir
  14. Eiqual Angles P)
  15. portional.
  16. Thus in che Figure.
  17. TCaY, AB: ab :: AC: ac:: C B, BC, BC.
  18. COROLLARY I.
  19. AII Squares must De similar Rectaneles; For (since
  20. cherhare all cheir Sides equal, and allcheir Ansles
  21. righe) whacever Proporrion the side a m hachto
  22. the side bi oF the ocher Rectangle, the lame must
  23. also che orher side ab haverochelide c h; becaule
  24. chez are equalco a m, and 10 hi.
  25. COROLLARY H.
  26. Flence all similar Rectansles are to cach orter 25
  27. the squares ot cheir FTomolorous. sides.
  28. FOr che Rectansle A, 151OB :: a5 the Square
  29. bm is ro rhe Square ei; since 25 ell Squares a5
  30. Rectansles are in 2 duplicate Rario ro rhar oF their
  31. sides.
  32. SIMTLAR RishE.lin d Figures, are suct as tave
  33. equal Angles, and che sides abour rhose equal An
  34. Bles proporional.
  35. SIMILAR Sesments OF a Circle are such aS CON-
  36. tain equal Angles.
  37. STMILAR Solid Numbers, are rhole, Whose lirtle
  38. Cubes max be s0 ranged as ro make similar arid
  39. rectansular Parallelopipeds.
  40. SIMILAR Triangles, are suct a5 have al cheir
  41. etirce Anses respectirely equal r0 one anorher.
  42. le into chegreater, byca
  43. kine Ab = a b, and A c = a c, then wvill chc
  44. Base B c, De the lanc a5 in the lesser Priatgle5
  45. and Wrhole Friangle Ab c, will bC equa l
  46. 2bc.
  47. And cheretore he Anele A b c, will bC escal 10
  48. hC Anole B, and A cb = C.
  49. theretore,
  50. For sex theletser
  51. Wheretore rhe Linc b c, is parallel to BB: And
  52. Ab: AB: AC: AC:: bc: BC, (36.
  53. Orherwile chus, accordins r0 Fuclid.
  54. Cay, Lhac che dides about cheur L.qual Aneles aTC
  55. Loceat.
  56. Let the Frianole a b c, be similar ro d c c. Then
  57. Set the Bales otthe uo Trianeles a candec; le
  58. ropectex as chac ehex may joyr.
  59. hister

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/806933011:0743?run=74