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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. And parriculariy che Sum oF =2 -] - 35 -L=
  2. equat 20 = =; and che Lum OF = + -1 575 - 4553
  3. esc. decrealins in an Oetuple Proportion, is equat
  4. 203: For Tuberacting che Arst Perm o, and diri-
  5. dine che Rcinainder by che Name oF the Rario
  6. lessen d by Vniey, chat is by 3, the Ouorient 22,
  7. sires the Sum oF aIl, excepe the last.
  8. This Theretore (viz. - 3) beins added, che sum
  9. oF all Wvill BC, = Or = S: In like manner- Z beins
  10. divided byche Name of the Reason lessen d byV.
  11. nier, ehie Ouoriene vill sire,; and adding che
  12. lalt, the Sum of aII will DC 223 1. c. =: 50 haC
  13. hence ris evidene; LHAC ,5
  14. (90. OP-
  15. 5 -)- - 3 -1-
  16. 73
  17. in BC. in Ensi
  18. nirum, ill be equal ronorhins; and 5
  19. 40383 (90. = 0.
  20. 15, - 73-
  21. 5. The Sum oFan Insinite Progression, WohosC preat.
  22. est Term is a Square Number, the ochers Decreatine
  23. accordins ro the odd Numbers 1, 3, 5, 7, 696. I5
  24. in Subsequialteran Proporrion of the Sum of the
  25. like Number oF equal Perms, 1. c. 25 2 103. FOF
  26. the Sum ot Three Tuch Perms, 259, 8, 5. 1. c. 22
  27. co chrice 9, 1. c. 27, is (dividins boch sides by 9,
  28. D prevent a Vacuum, press wich aIl due rescH
  29. atrer chie Sione wrhen it parrs trom the lland, and
  30. 25 2 3, dZ. 75 103, Or 2 -) 2 = 15 1 5. Du
  31. the Sum of Six such Ferms, 36, 33, 32, 27, 20, TY
  32. 1. 8. L6Y, 1O TmeS 36, 2, c. 216 TCVICIIS DOI
  33. Conne seems verr unconceirable; and chere necd.
  34. nochins more ro solve che Morion ot Projected B0-
  35. dies, bur onty ro contider, Phac all Bodies Deine
  36. indisterent eo Morion Or Rest, will necessarily con-
  37. rinue che Seare crhich they are pur into, untels
  38. they are forced to chanse it by Pome other Force
  39. impressed apon them. Thus if a Body be ac relt
  40. C0 ic ill eternallr abide, it nochins move ic; Oe
  41. il ic be in Morion, (c it vill eternally move uni-
  42. Eormir on in the lame rishe Line, it nochins Hop
  43. IE. Wheretores votren a Stone is pur into any De-
  44. eree oF Morion, by che Rocation oi the Arm ot
  45. ihe Man char sings ic, Wrharerer Ocgree ot Velo-
  46. cirs ic had aequired when ic parced trom thetland,
  47. the same vould ic ever atter keep it ic moved in
  48. Vacuo, and had no Grarier: Bur becaule Ic halita
  49. Tendencs, 25 all Bodies (by che L aW ot Nacule
  50. hare, towards che Cenere ot the Farch, and is allo
  51. relisted by the Air alI along a5 ic sOcs, in PrOpOr
  52. rion eo irs Velocier; ic plainte follons, chat ic must
  53. Recds be boch continuallr draon donnmards, and
  54. allo continually recarded in ies Progresire Morion
  55. Formards, and consequendy ac last Fall donn to che
  56. Farch, and ROp.
  57. The Line ot Morion wotich a Body projected de
  58. scribes in che Air, (absractins trom ihe Retistance
  59. Sides bY 72) is a5 2-] = = 7 2, C3c. che adherins oF the Medium) is, as hach been proved by Calli
  60. Fractions rhus altvays decreatins, lome by FIalF,
  61. octers by Three quarrers, a5 in Coroll. 7. Progres-
  62. sion Arithmetical: Wheretore rhe Sum oF che Inti
  63. nice Progression will bero che Sum oE rhe likC IVut
  64. bex ot Terms equal vo the srearett, 25,
  65. laus, and many Ochers, and parricularls by our
  66. AIT. Nomton, Prop. 4. Cor. T. OF his Second B00H
  67. che Curre oF a Parabola: Wtich Line is allo de
  68. scribed by ererr Delcendins Body.
  69. (9c. décrealins in a Cmradruple Proporrion, is equal
  70. 10 = 5; and che Sum Ol 0 = -(= = 35 -1 - + - 2, (9c. Is chrusts ic formards as lons a5 ic can. Buc chis AC.
  71. 80 130. 10 3; Mac i
  72. by Coroll. 2d and get, 25 2 10 3. R. F. D.
  73. Dle Mhews allo, Phacil che Line oE Direction o
  74. elle Projectile Morion ot any Bodr, ihe Degrec ot
  75. ies Velocier, and ac the Beginning, the Resistance
  76. ot che Medium beins siren, ee Cutre We
  77. ccletbe Ia) Be dilcorereu, ai vice versa;
  78. ene which a Projectile desctibes u d Medium uni
  79. he Pairh al(0 in Schol. LrOP. LL. Ld. L. Thac the
  80. Lomly resiccins the Morion, carher appronches 10
  81. an Fsyperbola chana Parabola.
  82. PRDEITBEETO de vasto directa parti, is a Wri
  83. sudicial dirceted lo the Tenanc, prohibiting from
  84. makins WVas upon i LAH M COTONIM, CU
  85. rins che Suic. Icis somerimes made toche Sheris.
  86. PROFIIBELLOH B a Wet W Torbid any Courr
  87. rescribe a Parabola ehus:
  88. The Lcarned CapE. FTalles POres Proseces l
  89. cicher Spiricual or Sccuras, Woptecced in any C’ause
  90. rhere dependins, uxon Susgection hac the Cogni-
  91. Parice thereot belongeth noc 10 tuc Pame C Ourr
  92. Butis nol most ulualls raken tor chat Wric irhich
  93. siech tor en chac is impleadea su ne Court. Chri-
  94. stiun, tor a Cduse belongins to rho lemporal Ju-
  95. rifdiction, or the Conulance ot ile lu Courr;
  96. whereby as vel che Parer and his Council, as che
  97. Judee timsett, and che Register, ate Corbidden to
  98. proceed any furcher in thac Caule.
  99. TROSECTTLES, are Cuch Bodies, as bets pur
  100. into a violent Morion by any siven L’orce, ale c
  101. calt oH or let 80 trom the Place where elles re-
  102. ceired their Ouantier ot Morion, and do atrer-
  103. Waldo more at a Distance From ir; a5 a Stone
  104. chrocn our ot ones Flands, ox by 2 Slino, al L-
  105. ron trom a Bor, a Bullet Trom 2 C un, (9c.
  106. There hach been a orear Dispure aboue che
  107. Caule oF che Conrinuation oF che Mlorion OE Pro
  108. jectiles, or whac ic is char matces them more atret
  109. thes part crom che Force chac began che Morion
  110. The Peripatericks will necds have ic, Thac che Air
  111. beins by theMorion of the Iland oF che Slinger
  112. C5c. pur inco a most violent Agitarion, and Forced
  113. rapids ro tollo che Morion ot the Scone, wrhile
  114. Tet the Line CR F be che Line in which che
  115. Axiom
  116. cis acceterared in he Fland ot che slingen, atoject is directed, aud in wotict, br che tic

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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/806933011:0663?run=74