دانلود کتاب Introduction to Analysis of the Infinite

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CONTENTS



Preface------------------------------------------------------------------------------------------v

Translator’s Introduction-----------------------------------------------------------------------ix

Book II------------------------------------------------------------------------------------------1

I. On Curves in General----------------------------------------------------------------------3
II. On the Change of Coordinates-------------------------------------------------------------12
III. On the Classification of Algebraic Curves by Orders--------------------------------------26
IV. On the Special Properties of Lines of Any Order------------------------------------------35
V. On the Second Order Lines----------------------------------------------------------------44
VI. On the Subdivision of Second Order Lines into Genera-------------------------------------81
VII. On the Investigation of Branches Which Go to Infinity-----------------------------------104
VIII. Concerning Asymptotes-------------------------------------------------------------------121
IX. On the Species of Third Order Lines----------------------------------------------------137
X. On the Principal Properties of Third Order Lines----------------------------------------151
XI. On Fourth Order Lines-------------------------------------------------------------------165
XII. On the Investigation of the Configuration of Curves-------------------------------------176
XIII. On the Disposition of Curves------------------------------------------------------------183
XIV. On the Curvature of a Curve-------------------------------------------------------------194
XV. Concerning Curves with One or Several Diameters-----------------------------------------212
XVI. On Finding Curves from the Properties of the Ordinate-----------------------------------226
XVII. On Finding Curves from Other Properties-------------------------------------------------247
XVIII. On the Similarities and Affinities of Curves--------------------------------------------274
XIX. On the Intersection of Curves-----------------------------------------------------------287
XX. On the Construction of Equations--------------------------------------------------------312
XXI. On Transcendental Curves----------------------------------------------------------------330
XXII.On the Solution to Several Problems Pertaining to the Circle-----------------------------353

Appendix---------------------------------------------------------------------------------------375
I. On the Surfaces of Solids---------------------------------------------------------------377
II. On the Intersection of a Surface and an Arbitrary Plane---------------------------------394
III. On Sections of Cylinders, Cones, and Spheres--------------------------------------------406
IV. On the Change of Coordinates------------------------------------------------------------428
V. On Second Order Surfaces----------------------------------------------------------------437
VI. On the Intersection of Two Surfaces-----------------------------------------------------452

Figures----------------------------------------------------------------------------------------465