The Method of Fluxions Both Direct and Inverse PDF Download

Author: l'Hospital
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ISBN:
Category : Calculus
Languages : en
Pages : 536

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Author: Guillaume François Antoine de L'HÔPITAL (Marquis de Sainte-Mesme.)
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Category :
Languages : en
Pages : 286

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Author: L'Hospital
Publisher: Palala Press
ISBN: 9781377420455
Category : Mathematics
Languages : en
Pages : 514

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Author: Guillaume François A. de L'Hospital (marq. de Sainte-Mesme.)
Publisher:
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Category :
Languages : en
Pages :

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Author: marquis de L'Hospital (Guillaume François Antoine)
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 450

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Author: Guillaume François Antoine
Publisher: Forgotten Books
ISBN: 9781391590134
Category : Mathematics
Languages : en
Pages : 504

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Excerpt from The Method of Fluxions Both Direct and Inverse: The Former Being a Translation From the Celebrated Marquis De L'hospital's Analyse Des Infinements Petits; And the Latter Supply'd by the Translator Caullicks by Refieétion and Refi'aétion, as will appear in the Work itfelf. I have divided it into ten Seétion35 the firfl whereof contains the Principles of the Me shod 5 the recond {hews the ufe thereof, in' finding the Tangents of all kinds of Curves, let what will be the number of indeterminate (luantities in the Equation exprefiing their Tho' Mr.' Cratgs, indeed, (in Lib. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author: Edmund Stone
Publisher:
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Category :
Languages : en
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Author: Guillaume François Antoine de L'Hôpital
Publisher:
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Languages : fr
Pages : 238

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Author: L'Hospital
Publisher: Rarebooksclub.com
ISBN: 9781230169842
Category :
Languages : en
Pages : 76

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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. 1730 edition. Excerpt: ...same Value of A K., Therefore if the Equation above found be thrown into Fluxions, with u and z, taen as constant Quantities, the Point C will be determined to be that of the Intersection aforesaid. Whence zzxx=lufy--Ztyt--any: And W (k) =g=, bysub stituting Zux3utyfor z. and the Nature of the Curve A MB being given, we may find a Value of j in x; which being put in the Value of AK, the said unknown Quantity will at length be expressed in known Terms freed fronl Fluxions. Which was proposed to be dbne. If other Curves or right Lines of a determinate Position, be proposed instead of the Parabola's (AMC), the Solution of the Problem will be much the fame, as will appear in the following Example. Example. 1 147.T Et xx--i ay--j.yy express the Nature of the Curve A MB: This will be half an Ellipsis, whose conjugate Axis is AB equal to a, and perpendicular' to AP, and transverse Axis the Double of the Conjugate. Now xx=zay--yy', and therefore AK (iStygRiSLitm, Whence if AK-v xylyx s y be affumed a fourth Proportional to MP, PA, AB, and K C be drawn perpendicular to AK, it shall intersect: theParaboia AMC in the Point C sought. Again j to'find the Nature of the Curve touching all the Parabola's, or which passes thro' all the Points C thus found, we must find an Equiation expressing the Relation of AK () to KC () after this manner. Substitute---for u its Equal in zxx--zuxy--my9 and we get j= "aa y and therefore x or-2 t au--. Now if these Values be put for x za---z r and y in Aw =407--yy there will arise = ipo---j Z) wherein x and y are got out, and which expresses the Relation of AK to KC. Therefore it is manifest, that the Curve sought is a Parabola, whereof the Line BA is the Axis, the Point B the Vertex, ...

Author: Guillaume François Antoine de L'HÔPITAL (Marquis de Sainte-Mesme.)
Publisher:
ISBN:
Category :
Languages : en
Pages :

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