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Synopsis Palmariorum Matheseos

Synopsis Palmariorum Matheseos


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1706 Excerpt: ... w--2, --o --1 --2 n--z &c. Alfo putting A =lft, fffjj, grradrCrrjd.Dsrj&C. it will be, --.---n --1 --2 --5 Or if the Jix be--, then J!L i m - W-2Jf M-2K iVbte, That there are feveral other ways of Invefiigf ting this Important Theorem, yet none here would be fo appofite as this. And we have inuTted the mere thereon, becaufe its extenfive Vfe is almofc Infinite; fince 'tis not for the Discovery of one FanituUr Cafe alone that it ferves, 'tis not only Involution, Evolution, Divifton by Vomers, or Radical Quantities, and the like, as well in Numbers as Species that it performs; But it even Comprehends the Method of Indivifibles, the Arithmetic of Infinites, the Doftope of Series: and in a wogJ, there is fcarce any Inquiry fo Sublime and Intricate, or any Improvement fo Eminent and And Multiplying both Sides by f'twill be --1 +TXTXT w --1 x-j-a"-bc. &c. as exprefs'd by the Author thereof, the Excellent Analyft Mr. Ab. de ZMoivre, (in Pbilof. Tranf. N. 230.) Here 'tis manifeJt, that I. AS the Products, that can be made fo as to have the Sum of the Exponents of the Letters compofing ibent equal to fome Index of the Power of z, mujt belong to r Power., The Number, which expreflhs how many ways the Letof each ProduB may be changed, mull be prefix'! to ProduB. But But by putting A = ift. term, B =2d, C= 3d, D=4th. &.c. then will a + bjfc i1-H' &c" be found equal to a" in A 2Acti--1B6. 2 3Ai+2--iBctiB--2CA, + F ': 4 Ae-1 3-1 Bit 2--2Q f t-3D6 t 4 4;A/+4-1 Bft3-2Cit2-3Drti-4 E6 5 &c. where the Law of Continuation is vifible; but "the Application...


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Product Details
  • ISBN-13: 9781130357790
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1130357791
  • Publisher Date: 06 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 68 gr

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