An Analytical Treatise of Conick Sections, and Their Use for Resolving of Equations ... Posthumous Work ... Made English by E. Stone PDF Download
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Author: marquis de L'Hospital (Guillaume François Antoine)
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Languages : en
Pages :
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Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 436
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Author: Guillaume François Antoine de L'HÔPITAL (Marquis de Sainte-Mesme.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 351
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Category : Union catalogs
Languages : en
Pages : 712
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Author: G. F. A. L'Hospital
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Languages : en
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Author: L'Hospital
Publisher: Rarebooksclub.com
ISBN: 9781230152080
Category :
Languages : en
Pages : 122
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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1723 edition. Excerpt: ...Lemma, which, by transposing some of theTerms, will become----xy--2r mm m it. zmt zmmt quation the first Member (or Side) is the Square of y----x--r; and the second, the Square of t minus the Square of s, muitiply'd by the Fraction--. Now it is evident, if the Value of the Square 1 t 11 be nothing or negative, then the Value of the second Member of the Equation will be negative, and so in both Cases we shall have a Square, viz. the first Member, having a negativeValue, which cannot be. Example II. 327-Jx is requir'd to find the Locus of this Equation yy-xy-x x + Cy +fx--ago, in which I suppose (according to Article 323/) that--is less than the Fraction-f, or 1 multiplying the Square x x; viz. that b is less than 2 a. By comparing the Terms of the general Formula with those an-fweri'ng to them in the Equation propos'd, we have 1.--= whence making m = a, and then n will be =---b. 2. (--"mm-mmt = 1 j from whence putting ay--b for m, w, and we shall have--z=z.-r m--tbt, ' And fop =-. 3. r----Tc. 4. = t--j ss-v'1----. From whence arises the following Constru 4n--U ction. FlG ir In the indefinite right Line A P, assume A B (m) =a, and draw the right Lines BE = ib =--rt, AD=ic =--r, parallel toPAT, and both on the contrary Side; also through the Point A draw the right Line A E (e) which is given, and through the Point D the right Line DG parallel to A, in which assume DC (s) =-from D towards P/W, if b c exceeds 2 a/, fas it is here fuppos'd to do) and the coutrary wayxifthe fame be less j then en both Sides the Point C, assume assume CK and CL, each equal to t = / s s + ei!! '. This being done, describe an Ellipsis with the Diameter LK (2t) whose ifAti ltf. Ordinatesare parallel to P/W, and Parameter the Line Xfi--4aat, I...
Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 0
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Author: G. A. F. de l' Hospital
Publisher:
ISBN:
Category :
Languages : en
Pages : 351
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Author: Guillaume Francois Antoine de Marquis de L'Hospital
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 351
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Author: G. Berkeley
Publisher: Springer Science & Business Media
ISBN: 9401125929
Category : Computers
Languages : en
Pages : 235
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Book Description
Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
