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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: 0.88.

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The machine reads it as

  1. WVADRANGLE, Or Ouadransu LGurC, in
  2. DTIADRANE, is an Arch which is the FOUECI
  3. Parr oF a Circle, ConratS 9 st. LIIe
  4. in che Centre ot che Circle, i5 called a Duadrant
  5. From the Fisure os Wwhich che Follorins Instrument
  6. Fates ES natme, Which is called a
  7. Ouadrant, alset is 2 ters etus aet LCaus LIIICIU
  8. ment, wohen Well made, tor many Operations. The
  9. Limb ot ir is dirided into 60 Degrees, and a5ma-
  10. nY Parrs OF a Dcgree as the bignels ot the Instru-
  11. ment ill bear, and this by means oF a String and
  12. ArkS ot ihe Linib, and are placed there in order ra
  13. Meature Alticudes readity, tor ic will alvays be; 25
  14. Radius ro che Tangent oF the Anele ot Alrirude
  15. at the Place of Oblerration; (that iS, to the PAFES
  16. DE the OnadeaE DE StracOWS CuF by The SErInO):
  17. S0 is the distance Berween the Starion and FOOE OF
  18. the Obieet ro irs heishr abore rhC Fy C.
  19. Quadratick Equations.
  20. OVADRATICK Equations, are sucti aS retain
  21. on the untenomn Side, The (GuArE OE THC RODE OK
  22. Number Coustr; and are oF rvO (OrtS.
  23. L. Simple Ouadraticks, Where che Square oE the
  24. Plumet, (or Label, iE ic be 2 scrued Limb) sires untnown RoOE is equal eo the absolure Number
  25. rouche suns Alcirude, Or that oC any Scar or other siven, 25 a a == 36, e0 == 146, yy = 133225.
  26. Objeet aboreche Florizon, rechoned tromthac edse
  27. OE ehe Onadrant where ihe Sighus are nor placed.
  28. And for che Solurion ot chole, there necds onty to
  29. Exrract che (quare Roor our of che knovn Num-
  30. In Collins Ouadrant, this Limb is also dirided into ber, and charis che Value oF the ROOF Or Ouantiry
  31. Fime, and numbred accordinsly, and chen it serres Couphe: Thusche Value oE a in che First Lqua
  32. very readily ro tind rhe Sunsrishe Alcention cither tion is equalio 6, inthe Sccond e = +2 and a licrle
  33. in Degreesor Time, and ro Meu thelTour ot rhe more, it beins a Turd Roor. And in che Third Lix-
  34. DayTherero a Mlinute, by his Alricude. NVexr 10 amplc y = 365.
  35. the Limb, in Gunters Ouadrane, is the Calendar
  36. ot theMonchs placed; bur in Collinsiris puc infour
  37. lirele Ouodrantal Arts nexr che Centre oF the In-
  38. TI. Adsected Ouadraticks, are such as have Be-
  39. ereen che highest Porver of the untenown Number
  40. strumene; havins an Ar alsooE the Suns Declina- and the absoluce Number giren, lome intermediare
  41. rion ficred chereunro; Po char che Scrins laid ro the Porver ofche untnovn Number, 25 a a 1 2b a=
  42. Dar oF the Monch, Wwill Mew che Declination; Or 200.
  43. laid to the Declination, will sire che Day ot the. And ehis Equarion is properir called Aufected;
  44. Monch, in che Ouadrancal Ark proper For char Sea. because rhe untnown R0or a is Mulciplied intothe
  45. Pon oE che Tear. Nexe belo chis, in Mr. Collins CoeticienE 2 B
  46. Ouadrane, (Wvhich L judre eo be the Best) is the
  47. Projection, Whieh is a ath Paxt oF Scosslers Astrolabe,
  48. inverted and Arted ro che Lacitude oF L ondon; OF
  49. arhich chose Lines wrhich run from che Righe Lland
  50. corards the Lefe are Parallels oF Alritude, and
  51. chole which crolsthem are Azimuchs. In the PrO-
  52. jection are drann che rvo Felipricks, wich che
  53. The Oridinat ot Aasected L quations, the trcom
  54. parable FTarrior thus derires: L et a be:
  55. 4
  56. -1 - b, Or
  57. cy tnen by Pransposirion will a -b:
  58. and a =I c = 0. And chen Mulriplyins onc By
  59. another, the Produet is a a = a b -I C a = b0
  60. And this he proxeris calls an Original E quarion-
  61. Characters oF the Siens uxon them, aud the rvo Erom wrhich, or ochers of che lame kind, Prans-
  62. FIorizons, all issuins From che Tame Poine; and up
  63. and donon in che Projection are placed such eminent
  64. Fixcd Scars, a5 are betreen che Tropicks. NVCXE
  65. belor che Projection is the Ouadrat and Line ot
  66. Stradoms, beins only a Line oF Narural Pangents r0
  67. posins bc orer ro the other lide with a contata
  68. Sign, he gains such an Equation 25 this, a a
  69. a b - c a = b c, vohiich tre calIS d Canonical F.-
  70. quation.
  71. And Fromhence, by purtins Fxamples in all C2.
  72. che ArHs OE the Limb; and by irs help, cheheistus les, hethewrs, tharerery poltible ouadratick F qua-
  73. oF Torvers, Scceples, (0c. may be preur exactiy
  74. taken.
  75. tion hath evo real RoorS, accordins to the Dimem
  76. Sions ot the hichest Porver; as beins made ux by
  77. ODADRANT os Altitude, iS Parr OF the Furni- che Mulripiication of cuvo Simple Rquations. And
  78. ture os an Arcisicial Globe, beins a chin Brals Plare chat chele rvo RoOrs mar be cirher boch AFirm
  79. dirided into 90 degrees, and markeed uprvards wich cire or boch Pegarire, aud chat lometimes they are
  80. 70, 20, 30, 690. being Rivetred ro a BraIS NTurr sequal ro cach other, and Pomerimes nOt. AnC
  81. extrich is ficred cothe Meridian, and hach a Screu Eromhence hefinds, tharthe absolure Number b
  82. in it, 2o screur upon any degree ol the Meridian: is alrays the Rectansle oF the evo ROOrS b and c,
  83. wohen ic is ufed, ris most commonty seren d ro the (or of the ciro Values of a): And rharit ic hare 2
  84. Zenith. Ies Dse is For meaturins Alcicudes, ro find
  85. policire sien, che ruo Roors hare like Signs, buc it
  86. Amplicudes and Azimuths, and describing Almi-a Negarire one, untikce.
  87. CantarS.
  88. Duadram.
  89. e atet.
  90. And, Tharthe Coefficient ofthemidole Ferm. is
  91. alivays che AGerezate of both the ROOLS. with contrars
  92. Siens; and consequently cheir Difference, whem
  93. Withour is Sign. Sec more in his Second Section,
  94. and in WV allis S Alzebra, P. 132, (30
  95. And Woten in such kind oF Ouadraricks 25 chese.
  96. unkenovn ROor are in Arichmacical Proporrion, tHaE
  97. dtanc, are onty à Line ot natusal L’angenrs 10 che ) Index ot aa is 2, che Index 02 2 b a io 1, ane Me
  98. Indem
  99. Geometer, is chac Which consists bur oE Four
  100. Aneles
  101. times the space contained berreen a Ouadrantal
  102. AFH aBd EIVO RLaCIUS PESPLHMICMCAE MM LO aNOCHEF
  103. OVADLLANI Aptronomical, sec Astron
  104. GVADRANT Triangular. Sec Triangum u
  105. OOADRAMTAT Trianele, is a Spherick Tri-
  106. and one. Angle Right
  107. angle, one oF whose Sides (ac LeaCt) is a Ouadrane the Index or Fxponents oF che Dimensions oF rHC
  108. NNADRAT, and Linc oF Stradons od a a o ab in this Equation, a a -I 2 b a = 100, che

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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/806933011:0679?run=74