An Analytick Treatise of Conick Sections, and Their Use for Resolving of Equations in Determinate and Indeterminate Problems PDF Download
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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: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 436
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Book Description
Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 351
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Book Description
Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 0
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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: G. F. A. L'Hospital
Publisher:
ISBN:
Category :
Languages : en
Pages :
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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: Guillaume François Antoine de L'HÔPITAL (Marquis de Sainte-Mesme.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 351
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Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 351
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Author: G. A. F. de l' Hospital
Publisher:
ISBN:
Category :
Languages : en
Pages : 351
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Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Conic sections
Languages : en
Pages : 351
Get Book Here
Book Description
