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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: 0.90.

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  1. 10 Instances oF this ArE in Pappus; and we find; He allo affectins Breviry, (rrhrich indecd he Was
  2. ihc Ffects oF ic plainly in Archimedes, Apollonius, a perteet Malter ot, beins ihorr buc noc obleure)
  3. and some ochers, tho Audioussy corered and dil-invencedmans Compendious Charactersor Lisatures
  4. suised. The sirst Book amons che Crecks, and L
  5. Deliere che only one char crears protessealy ot AI.
  6. to notethesumms, Differences, Rectansles, Squares,
  7. Cubes, and rheir summ, Difference, _c. by Wvtrich
  8. eehra, is char ot Diophantus: Publied ar tirst in means his licrle Book concains more excellent and
  9. Catin by Xylander, afterwards in Oreek and Latin
  10. by Bachet Wich some thines addec oF hisown; and
  11. since him by NIF. Fermat wich lome Addirions ot
  12. his sikevile. Buc ic cercainly vas in use amone
  13. the crabs more ancienely chan amons rhe Cirecks
  14. and rhey are suppoled ro have had ic trom che
  15. Persians, and che Persans trom the indians
  16. Thence, chac is, From che Arabs, the Moors anc
  17. Saracens broughe ir into spain, from whence il
  18. came into Fnsland; and chac belore e hnev
  19. any chine oF Diophantus. The Vse oF the Nu-
  20. mexal Figures, Machemarick Pearning, ard alI
  21. our AKronomy, came ro us likerise che lame vay
  22. uletul Creomerry chan manz ocher large Volumes.
  23. Ouxhered in his Clavis ulually, conceues him selE
  24. wich che Solurion ot Ouadraricks, Parely proceed-
  25. ing co chole of higher Povers, becaule he de-
  26. GBnd it a5 an Introduction t0 Algebra Ouly.
  27. The TaOUS MV. PTarriort WaS Contemporarr
  28. wich Ouchtred, bur died betorehim; hie lese ma-
  29. ny geod chines behind him, ot rhich nochins is
  30. rec publisted, bur his analytice or Alsebra, Whick
  31. AP. Warner princed A. D. 1631. Erom chis
  32. great Man did Des Cartes borro, not 10 lay
  33. Real, al che tamous chinss in his Ceometry, Which
  34. are purely algebraical, 25 any one may sec chac
  35. From ehe Came Original, and abour che Pame ill compare cheir Mechods cogether: FOr ris
  36. Time.
  37. The srA Cipropean Vricer oE Aleebra las pas
  38. hinced above) 15 Lucas Pacciolus Or Lucas de Bure
  39. aMlinorire Friar: Fis Book is in Palian, Prinre
  40. at Venice, 1494. Ile makes mention ol one Leo
  41. nardus Pisanus, and leveral ochers trom whom
  42. he learne it, buc e have none ot cheir Wricinss
  43. Ire Cays, this det came originally to us trom che
  44. Arabs, and mates no mention oE Diophantus;
  45. who cheretore ris probable Was nOE yet LnO
  46. here. Fis Alsebra Poes no Carrher chan Quadra-
  47. rick Clacions.
  48. Nexe came oux scipbelius 2 800d Aurtor, bur
  49. he alto wene nor berond Ouadraricks.
  50. Buc Scipio Ferreus, Cardan, Tartalea, arc
  51. Pome ochers, proceeded ro sire a Solurion of lome
  52. Cubick Equarions
  53. Atrer chis Bombelli vene a liirle Farcher, anet
  54. impossible bur one must be copied atter theorher:
  55. Bur the Geometry oF Des. Carres as noc publisti d
  56. in French eill che YCar 1637; and noc in Latin
  57. eill ehe YCar 1649: Theretore he must havescen
  58. and copied FTarriottS BOOlE.
  59. NIP. Parriore did mondertully improve (in chis
  60. Freacise) chac erhich is purely Alcebra, in the
  61. Follomins Respects, and many ochers which L
  62. mixhemention.
  63. P. Fe brouxhe in sinall Lerrers instead ot the
  64. Capirals uled by Vieta and Ouchered.
  65. 2. He maved che CIncourh Terms ot duadra-
  66. +0Cube, Sursolid, ec. explainins che Porver plain-
  67. ly cocheFyC, by onty repeacins The ROOT 25 OF.
  68. ren as che Index of the l’orver.
  69. 3. Hle seved etie true Original and Constiru-
  70. cion of all Equations, by purtins all che lqua-
  71. rion over ro one side, and chereby making che
  72. sewed hou ro resolve a Biguadrarick Eguarion Whole equal eo noching; Whereby al(o he deter-
  73. into rvo Ouasrarick ones, by chemeans ot a Cu.
  74. bick.
  75. Then, in ehe last Century, axpeared Nonnius
  76. (NunneZ in Spanisti) Ramus, Schonerus, Saligua
  77. cus, Clavius, ec. Who vrore on chis subjeet in
  78. various wazs. bur generally ene no Furcher char
  79. Ouocrarick legualio
  80. Abour chis rime oue lane Sopsantus, Wotiol
  81. Mechod difters much trom al et ie Arabs.
  82. Wrhich ochers had hirherro all Folloved.
  83. AII this while, che Hnovn Ouanriries in ans
  84. mined ehie Number ot Koors; wtich he Meus are
  85. in Number, Tuch as che Index oF che hishest Po-
  86. et in che liquation.
  87. A. Ele discovers the rrue Construction ot the AB
  88. Solure Number (the Fomogeneum Comparationis)
  89. in a Ouadrarick or Superiour Equarion; Mewino
  90. ic co be che Produet ofche concinual Mulciplica
  91. tion OE allThe ROOES.
  92. 5. The same he dorh also by the Co- eHticienes.
  93. 6. Ele Mens rhe mas ro mulciply che unkenomr
  94. Roors ot an Equation accordins e0 any PrOPOEtI
  95. siguation rere deligned only by che Numeral on astiened, thereby trecing che Co efficienes
  96. Lecrers, and chere ere no Symbals nor Martes trom Fractions and Surds.
  97. bur for those char vere untnomn or soughe.
  98. 7. Ele Meus hon co reduce all adfected Qua-
  99. Bur then cane Vieta, A. D. 1590, and inerodur dearicks ro simple Eguarions, and aIl adfected
  100. ced Wohat he calsed his specious Arithmetick:
  101. Cubicks ro a Form ealily Colrable, by chemeans
  102. wohich is a way of sirins Marks or Symbolsro alI ot destrovins che second Term in luch liqua-
  103. ehe Ouanciries, boch bnoun and untnovn;
  104. Wherebs a rels dte and conspicuous masb
  105. tions.
  106. 8. Fe Bews ihe Merhod land 2 verv 500a
  107. Nocation as sained, the whole Operarion ex- one Eis) oF solvins aIl Adfected Ouadraricks by
  108. 9. Ie Wphrily also improres he Fxecesis Nu-
  109. cele rate Impioreenrs, and mans ule
  110. (utich eo avoid Prolixiey Lomit) did Des-lat-
  111. eruc, in his Geometry etiere are abundance ot ex.
  112. The Incomparable MIr. Ouchered followed, and cellene rhines about che accommodarion ot Alre-
  113. bra o Geomerricat Propositions, and many very
  114. nis Clavis Machematiea sic E Publicted 163l. ) Eine Ccometrical Fissections and Constructions; boud
  115. poled alass lo ihe ese M a Mo synopsis, and complearins the square.
  116. fore calen norice Of.
  117. Vieta also introduced che Numerat Exegesis Ot
  118. dlected liquations, Mewins how toextract cheir
  119. mtoa tventea b ieta.
  120. abos in Numbers. And in che Denominarion fres rake trom Parrioc, wichour ever (0 much 25
  121. oF rhe Porers of Numbers he follons Diophantus, (namins him, and publim chem as his own. Fis
  122. add nor chie arabian Manner uled by orhers.
  123. misheily improred che specious Alsebra ot Vietu
  124. nanr Discoveries vere made in Alzebra, nor bc.

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/806933011:0054?run=74