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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. ding chesquare de ille re ete
  2. diate Part a e, voset da
  3. sum will be oil e a i seate et at
  4. Line.
  5. Kiphe Line De added 1o it, the Rectansle 0
  6. Product oF thie ivhole augmented Line mutei
  7. plied by the lail aluces togerher wich lc
  8. Square ot rhe halt Line, 15 equat 10 C Oguat
  9. ot che hatt Line, and laet added, as one L me.
  10. 18. 3
  11. Pectne Mee De La, and che Pare addede.
  12. then che wohole Wvis be 2 a Fe; Wotich mulci
  13. plicd by e, produces 2 a e ec, and the Square
  14. OE halt che Line a a beine aaded co it, ic wil
  15. be2 ac ecga, which is equal r0 che Square
  16. OE a e, bY Prop. 4.
  17. J. IE a Ouanties or Line be divided aty ho
  18. ineo to ParES, the Square oF the Whole added
  19. FOFhe Square OF One OF the ParES, Mall BC equa
  20. 2o urro Rectansles concained under che wvhiole
  21. Cine and chac Parr, added ro che Square ot rhe
  22. ortiex Parr.
  23. Square, oF ihe votiore, a OL He setset FasL C
  24. matces aa 2 a c 1 2 ec. Then if the wrhole
  25. aJe be mulciplied tvice by c, ic will produce
  26. e 2ee; and it to chis be added chesquar
  27. ot che ocher Pare a a, the Sum will be
  28. C 2 Ce, equal tothe former.
  29. 8. IF a Line cut any hon into tvo ParrS, thc
  30. Ouadruple Rectanole under the whole Line anc
  31. ore oE the Parrs, added ro the Square of che
  32. ocher Parr, is equal ro che square ot che whole
  33. and chc octer Parc added 10 u, as il ic vere bi
  34. onc Line.
  35. Tet che Wnole Line De a J-e, then Four rim
  36. that mulciplied bY e (or the Ouadruple Rectan-
  37. Dle under That and e) will be + ac 4 eCs L
  38. erhich addins che Square ee aet falt a a
  39. Ot EHC Oguares OL LHC HaI LUIC, andi OE che
  40. ThC lesset a B: The Sum ot the Squdres oF che
  41. Unequat, Paris Wrill be2 an p2 l b aerbict is
  42. double co che Square ol haltiche Line addedre
  43. che Square oE the Ditterencoloe P
  44. 10. C a l ine be bissected, andtnen anone
  45. Line added 1o ic; the Square oF tho trholeren
  46. crealed Line, rosecher wich che. Square osiche
  47. Parr added, is double the, Sum of thé Dquare
  48. ot chehale Line, and ot chehan Lualta L det
  49. added, raken 25 one Line.
  50. Let che vohole Line BC 2 a, and che Paroiad.
  51. ded e; then che Wrhole encrealed Line willbe
  52. e a e; and chehale Line and Part added Wil
  53. bca 16. The Sum ofathe Squares ot2 ac
  54. and OF, c, I5 4 a a 4 ~ e 2 ee; levtich is plain-
  55. ly double 20 a an and, a 12 alc-)ce 0 ad ded
  56. cogether, 0.
  57. t
  58. LINB, in Forrificarion, is thar whichlisIdrawn
  59. trom one Poinero anorher, in delineatins a Planc
  60. upon Paper. Bur, in the Field it is somerimes
  61. catren for a Direh Bordered rich ius ParaDet
  62. and fomerimes For a Romot Gabions, or Sacks
  63. Ot Fauh, exrended in lensch on the Cround) 120
  64. serre 25 2 Shelrer againstahe FinemiesuFire
  65. Thuscher Car, When cho Trenches evere carried
  66. on Wichin 30 Paces oF the Glacis, ve drenato
  67. Lines, onc on the Righr Fand, the orhetion che
  68. Lett, for a Place OF AIIS. ei
  69. conora BIC
  70. TINF Capiral, is thac Which is drawn from
  71. Mho Ansle os the 60r5C 10 che Ansle os the Ba-
  72. stion.
  73. FIE Cogritet, is chacrotich isadramn Trom
  74. the Ansle os the Contre cothatof the Bastion
  75. TINK os Desence, is tharwwhich represents the
  76. Course es the Bullet ot ans lort ol Fire arins
  77. more especiallr oF a Musquer Ball, accordinsrc
  78. the Sicuarion which ic oushero have 10 dotend
  79. theFace ot the Baction.
  80. LINF of Desenco Fix duornFichaneh iouCMaE
  81. wrhich is dravn trom (cheAnole ofthesurcain
  82. tothe stant d Ansle oF. che oppolice Bastionste
  83. verrheless, richout couchins iho Face ofthe Ba
  84. stion. This must nerer excced 800FCet Wutrieh
  85. cher reckon the Distance aiMusquer Ball Wwill do
  86. executiOn.
  87. LINF OF Desence Rezant, is thac wutuch beine
  88. drann from a certain Poine ofrirs Curtait, a-
  89. serh che Face ot che oppolice Bastionqoehisois
  90. Called alsothe Line of Desence Stringentor Ftant-
  91. ins.
  92. LINE S appronch or oE. Motactem sienitieoriche
  93. Work Wrhich che Bchegers carrr on aindet Cd
  94. vert, 10 sain sche, Monc, andche Body obixhe
  95. Place.
  96. LILF of Circumvallation, 15 a L ine Ot Fronch
  97. cur by ches Besiesers, Wvirtiin Cannon MODOD che
  98. Place trhich rangech round cheI LalI asC
  99. eures iis Ouarrers agamthe Kce n
  100. 109cd.
  101. C
  102. LINE os Contravallation, is a Dirchsborder d
  103. rich a Parapes, wrhich serresro coredheBe-
  104. sieoers exprse side ot cheblace, and 16 Hop une
  105. Sallies othe Carrison.ainomoor bas suoiro
  106. CTNES mithin sides ares the Moaes coate ule
  107. Lexche lesser unequal Part bC e, Then che Grear
  108. ex unequat Part WviII DC 2 a es whict mulci
  109. plied by e, Produces 2ae ec: Fo wtich ad
  110. 6. IF a Tine be Bissected, and chen anocte
  111. Cet à be one Pare, quid e che ortier. The
  112. the Sum Wist De a a. 4 ac l 4 c e.
  113. And I sou lquare a 2c, Which expresse
  114. hè wrhole Cue, uithe added ro i, Thc Product
  115. Wbill be che lormer Sum oF a a- + a C- 4 C c.
  116. 9. L2 Tine be bissected, and also cur into
  117. ENVO OtHCL Unequal ParES, the Sum oF the Squares
  118. OF Ehe unequat Lales WA be double FO the Su
  119. Disserence betureen che ruo unegual ParIS.
  120. 1153. A BF
  121. ots seste eobet ssor
  122. Jeonan Eid S.o. )
  123. Tec the vohole Line De 2a; and chie Disse.
  124. rence betreen he equal and unequat ParIs.
  125. ien are sente n te dlaust iate ) ale tiete, re hitale etielit o
  126. TPES mithout sa arenthe Moacolordillo
  127. Place, teprevent cheliko Sallics. 13 erts oroc
  128. IE

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/806933011:0472?run=74