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An Elementary Treatise on Elliptic Functions

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Public Domain Mark 1.0. You can find more information here.

Bibliographic data

fullscreen: An Elementary Treatise on Elliptic Functions

Multivolume work

Persistent identifier:
1667435949
Title:
XVIIIth Congress
Sub title:
Vienna, Austria 1996
Type of content:
Konferenzschrift
Year of publication:
1996
Place of publication:
Vienna
Publisher of the original:
Austrian Society of Surveying and Geoinformation
Identifier (digital):
1667435949
Reihe:
International archives of photogrammetry and remote sensing
Language:
English
Editor:
Kraus, Karl
Waldhäusl, Peter
Author:
International Society for Photogrammetry and Remote Sensing, 18.; 1996; Wien
Contributor:
International Society for Photogrammetry and Remote Sensing
Document type:
Multivolume work

Volume

Persistent identifier:
1667440764
Title:
XVIIIth Congress
Scope:
1050 Seiten
Type of content:
Konferenzschrift
DOI:
10.14463/KXP:1667440764
Year of publication:
1996
Place of publication:
Vienna
Publisher of the original:
Austrian Society of Surveying and Geoinformation
Identifier (digital):
1667440764
Illustration:
Illustrationen, Diagramme
Reihe:
International archives of photogrammetry and remote sensing (31,B3)
Signature of the source:
ZS 312(31,B3)
Language:
English
Additional Notes:
Erscheinungsdatum des Originals ist anhand des Copyrightjahrs ermittelt.
Usage licence:
Attribution 4.0 International (CC BY 4.0)
Editor:
Kraus, Karl
Waldhäusl, Peter
Author:
International Society for Photogrammetry and Remote Sensing, 18.; 1996; Wien
Contributor:
International Society for Photogrammetry and Remote Sensing
International Society for Photogrammetry and Remote Sensing, Commission Mathematical Analysis of Data
Publisher of the digital copy:
Technische Informationsbibliothek Hannover
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2019
Document type:
Volume
Collection:
Earth sciences

Chapter

Title:
AUTOMATION OF INTERIOR, RELATIVE AND ABSOLUTE ORIENTATION Christian Heipke
Document type:
Multivolume work
Structure type:
Chapter

Contents

Table of contents

  • An Elementary Treatise on Elliptic Functions
  • Cover
  • ColorChart
  • Title page
  • Title page
  • PREFACE.
  • NOTE TO THE SECOND EDITION.
  • CONTENTS.
  • A student to whom the subject is new should peruse Chapter I., [...]
  • ERRATA.
  • Legendre's earliest systematic work on Elliptic Integrals is the Exercices de Calcul Intégral sur divers ordres de Transcendantes, et sur les Quadratures, [...]
  • CHAPTER I. GENERAL OUTLINE.
  • CHAPTER II. THE ADDITION-EQUATION: LANDEN'S THEOREM.
  • CHAPTER III. MISCELLANEOUS INVESTIGATIONS.
  • CHAPTER IV. ON THE ELLIPTIC FUNCTIONS sn, cn, dn.
  • CHAPTER V. THE THREE KINDS OF ELLIPTIC INTEGRALS.
  • CHAPTER VI. THE FUNCTIONS II (u, a), Zu, [...], Hu.
  • CHAPTER VII. TRANSFORMATION. GENERAL OUTLINE.
  • CHAPTER VIII. THE QUADRIC TRANSFORMATION, n = 2; AND THE ODD-PRIME TRANSFORMATIONS n = 3, 5, 7. PROPERTIES OF THE MODULAR EQUATION AND THE MULTIPLIER.
  • CHAPTER IX. JACOBI'S PARTIAL DIFFERENTIAL EQUATIONS FOR THE FUNCTIONS H, [...], AND FOR THE NUMERATORS AND DENOMINATORS IN THE MULTIPLICATION AND TRANSFORMATION OF THE ELLIPTIC FUNCTIONS sn u, cn u, dn u.
  • CHAPTER X. TRANSFORMATION FOR AN ODD AND IN PARTICULAR AN ODD-PRIME ORDER: DEVELOPMENT OF THE THEORY BY MEANS OF THE n-DIVISION OF THE COMPLETE FUNCTIONS.
  • CHAPTER XI. THE q-FUNCTIONS: FURTHER THEORY OF THE FUNCTIONS H, [...].
  • CHAPTER XII. REDUCTION OF A DIFFERENTIAL EXPRESSION [...].
  • CHAPTER XIII. QUADRIC TRANSFORMATION OF THE ELLIPTIC INTEGRALS OF THE FIRST AND SECOND KIND: THE ARITHMETICO-GEOMETRICAL MEAN.
  • CHAPTER XIV. THE GENERAL DIFFERENTIAL EQUATION [...].
  • CHAPTER XV. ON THE DETERMINATION OF CERTAIN CURVES, THE ARC OF WHICH IS REPRESENTED BY AN ELLIPTIC INTEGRAL OF THE FIRST KIND.
  • ADDITION. FURTHER THEORY OF THE LINEAR AND QUADRIC TRANSFORMATIONS.
  • INDEX.
  • Cover

Full text

2 Kx 
1 
H 
(2Kx\ 
sn 
~ 
— 
, 
7Г 
\ 7Г / 
2 Kx 
//? 
H 
2 K( 
7г\ 
cn 
= 
A/y 
(ж + 
7Г 
V A? 
7Г V 
2/ 
dn 
2 Kx 
VÂ? 
0 
2 К ( 
— ix + 
?) 
7Г 
7Г V 
2/ 
denom. = 
0 
í2Kx\ 
V 7Г / ’ 
ь» 
со 
05 
И 
(-*-) 
(+) 
cos 2х + (f m \ 
cos 2х + (f" l \ 
1 cos 2х + g 4 ” 1-2 ], 
cos 2x + q* m ~*\ 
X 
THE g'-FUNCTIONS :
	        

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Cayley, Arthur. An Elementary Treatise on Elliptic Functions. Deighton, Bell, 1895.
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