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The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 1)

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Bibliographic data

Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 1)

Monograph

Persistent identifier:: 1671780647

Author:: Wieland, Georg; Stöcke, Kurt

Title:: Merkbuch für den Straßenbau

Sub title:: ein Ratgeber für Straßenbaufachleute, technische Offiziere und Führer des Arbeitsdienstes : mit 82 Textabbildungen, 24 Tafeln und 1 Anhang

Scope:: VIII, 118 Seiten

Edition title:: Zweite verbesserte Auflage

Year of publication:: 1940

Place of publication:: Berlin

Identifier (digital):: 1671780647

Illustration:: Diagramme

Signature of the source:: a 424,2

Language:: German

Publisher of the original:: Verlag von Wilhelm Ernst & Sohn

Usage licence:: Public Domain Mark 1.0

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:: Monograph

Collection:: Civil engineering

The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge
The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 1)
Cover
Title page
Title page
PREFACE.
Table of contents
CLASSIFICATION.
1. ON A THEOREM IN THE GEOMETRY OF POSITION.
2. ON THE PROPERTIES OF A CERTAIN SYMBOLICAL EXPRESSION.
3. ON CERTAIN DEFINITE INTEGRALS.
4. ON CERTAIN EXPANSIONS, IN SERIES OF MULTIPLE SINES AND COSINES.
5. ON THE INTERSECTION OF CURVES.
6. ON THE MOTION OF ROTATION OF A SOLID BODY.
7. ON A CLASS OF DIFFERENTIAL EQUATIONS, AND ON THE LINES OF CURVATURE OF AN ELLIPSOID.
8. ON LAGRANGE'S THEOREM.
9. DEMONSTRATION OF PASCAL'S THEOREM.
10. ON THE THEORY OF ALGEBRAIC CURVES.
11. CHAPTERS IN THE ANALYTICAL GEOMETRY OF [...] DIMENSIONS.
12. ON THE THEORY OF DETERMINANTS.
13. ON THE THEORY OF LINEAR TRANSFORMATIONS.
14. ON LINEAR TRANSFORMATIONS.
15. NOTE SUR DEUX FORMULES DONNEES PAR M. M. EISENSTEIN ET HESSE.
16. MÉMOIRE SUR LES HYPERDÉTERMINANTS (TRADUCTION D'UN MÉMOIRE ANGLAIS INSÉRÉ DANS LE "CAMBRIDGE MATHEMATICAL JOURNAL" AVEC QUELQUES ADDITIONS DE L'AUTEUR).
17. NOTE ON MR BRONWIN'S PAPER ON ELLIPTIC INTEGRALS.
18. REMARKS ON THE REV. B. BRONWIN'S PAPER ON JACOBI'S THEORY OF ELLIPTIC FUNCTIONS.
19. INVESTIGATION OF THE TRANSFORMATION OF CERTAIN ELLIPTIC FUNCTIONS.
20. ON CERTAIN RESULTS RELATING TO QUATERNIONS.
21. ON JACOBI'S ELLIPTIC FUNCTIONS, IN REPLY TO THE REV. B. BRONWIN; AND ON QUATERNIONS.
22. ON ALGEBRAICAL COUPLES.
23. ON THE TRANSFORMATION OF ELLIPTIC FUNCTIONS.
24. ON THE INVERSE ELLIPTIC FUNCTIONS.
25. MÉMOIRE SUR LES FONCTIONS DOUBLEMENT PÉRIODIQUES.
26. MÉMOIRE SUR LES COURBES DU TROISIÈME ORDRE.
27. NOUVELLES REMARQUES SUR LES COURBES DU TROISIÈME ORDRE.
28. SUR QUELQUES INTÉGRALES MULTIPLES.
29. ADDITION A LA NOTE SUR QUELQUES INTÉGRALES MULTIPLES.
30. MÉMOIRE SUR LES COURBES À DOUBLE COURBURE ET LES SURFACES DÉVELOPPABLES.
31. DEMONSTRATION D'UN THÉORÈME DE M. CHASLES.
32. ON SOME ANALYTICAL FORMULAE, AND THEIR APPLICATION TO THE THEORY OF SPHERICAL COORDINATES.
33. ON THE REDUCTION OF [...], WHEN U IS A FUNCTION OF THE FOURTH ORDER.
34. NOTE ON THE MAXIMA AND MINIMA OF FUNCTIONS OF THREE VARIABLES.
35. ON HOMOGENEOUS FUNCTIONS OF THE THIRD ORDER WITH THREE VARIABLES.
36. ON THE GEOMETRICAL REPRESENTATION OF THE MOTION OF A SOLID BODY.
37. ON THE ROTATION OF A SOLID BODY ROUND A FIXED POINT.
38. NOTE ON A GEOMETRICAL THEOREM CONTAINED IN A PAPER BY SIR W. THOMSON.
39. ON THE DIAMETRAL PLANES OF A SURFACE OF THE SECOND ORDER.
40. ON THE THEORY OF INVOLUTION IN GEOMETRY.
41. ON CERTAIN FORMULAE FOR DIFFERENTIATION WITH APPLICATIONS TO THE EVALUATION OF DEFINITE INTEGRALS.
42. ON THE CAUSTIC BY REFLECTION AT A CIRCLE.
43. ON THE DIFFERENTIAL EQUATIONS WHICH OCCUR IN DYNAMICAL PROBLEMS.
44. ON A MULTIPLE INTEGRAL CONNECTED WITH THE THEORY OF ATTRACTIONS.
45. ON THE THEORY OF ELLIPTIC FUNCTIONS.
46. NOTE ON A SYSTEM OF IMAGINARIES.
47. SUR LA SURFACE DES ONDES.
48. NOTE SUR LES FONCTIONS DE M. STURM.
49. SUR QUELQUES FORMULES DU CALCUL INTÉGRAL.
50. SUR QUELQUES THÉORÈMES DE LA GÉOMÉTRIE DE POSITION.
51. PROBLÈME DE GÉOMÉTRIE ANALYTIQUE.
52. SUR QUELQUES PROPRIÉTÉS DES DÉTERMINANTS GAUCHES.
53. RECHERCHES SUR L'ÉLIMINATION, ET SUR LA THÉORIE DES COURBES.
54. NOTE SUR LES HYPERDÉTERMINANTS.
55. SUR QUELQUES THÉORÈMES DE LA GÉOMÉTRIE DE POSITION.
56. DEMONSTRATION OF A GEOMETRICAL THEOREM OF JACOBI'S.
57. ON THE THEORY OF ELLIPTIC FUNCTIONS.
58. NOTES ON THE ABELIAN INTEGRALS. - JACOBI'S SYSTEM OF DIFFERENTIAL EQUATIONS.
59. ON THE THEORY OF ELIMINATION.
60. ON THE EXPANSION OF INTEGRAL FUNCTIONS IN A SERIES OF LAPLACE'S COEFFICIENTS.
61. ON GEOMETRICAL RECIPROCITY.
62. ON AN INTEGRAL TRANSFORMATION.
63. DÉMONSTRATION D'UN THÉORÈME DE M. BOOLE CONCERNANT DES INTÉGRALES MULTIPLES.
64. SUR LA GÉNÉRALISATION D'UN THÉORÈME DE M. JELLETT, QUI SE RAPPORTE AUX ATTRACTIONS.
65. NOUVELLES RECHERCHES SUR LES FONCTIONS DE M. STURM.
66. SUR LES FONCTIONS DE LAPLACE.
67. NOTE SUR LES FONCTIONS ELLIPTIQUES.
68. ON THE APPLICATION OF QUATERNIONS TO THE THEORY OF ROTATION.
69. SUR LES DÉTERMINANTS GAUCHES.
70. SUR QUELQUES THÉORÈMES DE LA GÉOMÉTRIE DE POSITION.
71. NOTE SUR LES FONCTIONS DU SECOND ORDRE.
72. NOTE ON THE THEORY OF PERMUTATIONS.
73. ABSTRACT OF A MEMOIR BY DR HESSE ON THE CONSTRUCTION OF THE SURFACE OF THE SECOND ORDER WHICH PASSES THROUGH NINE GIVEN POINTS.
74. ON THE SIMULTANEOUS TRANSFORMATION OF TWO HOMOGENEOUS FUNCTIONS OF THE SECOND ORDER.
75. ON THE ATTRACTION OF AN ELLIPSOID.
76. ON THE TRIPLE TANGENT PLANES OF SURFACES OF THE THIRD ORDER.
77. ON THE ORDER OF CERTAIN SYSTEMS OF ALGEBRAICAL EQUATIONS.
78. NOTE ON THE MOTION OF ROTATION OF A SOLID OF REVOLUTION.
79. ON A SYSTEM OF EQUATIONS CONNECTED WITH MALFATTI'S PROBLEM, AND ON ANOTHER ALGEBRAICAL SYSTEM.
80. SUR QUELQUES TRANSMUTATIONS DES LIGNES COURBES.
81. ADDITION AU MÉMOIRE SUR QUELQUES TRANSMUTATIONS DES LIGNES COURBES.
82. ON THE TRIADIC ARRANGEMENTS OF SEVEN AND FIFTEEN THINGS.
83. ON CURVES OF DOUBLE CURVATURE AND DEVELOPABLE SURFACES.
84. ON THE DEVELOPABLE SURFACES WHICH ARISE FROM TWO SURFACES OF THE SECOND ORDER.
85. NOTE ON A FAMILY OF CURVES OF THE FOURTH ORDER.
86. ON THE DEVELOPABLE DERIVED FROM AN EQUATION OF THE FIFTH ORDER.
87. NOTES ON ELLIPTIC FUNCTIONS (FROM JACOBI).
88. ON THE TRANSFORMATION OF AN ELLIPTIC INTEGRAL.
89. ON THE ATTRACTION OF ELLIPSOIDS (JACOBI'S METHOD).
90. NOTE SUR QUELQUES FORMULES RELATIVES AUX CONIQUES.
91. SUR LE PROBLÈME DES CONTACTS.
92. NOTE SUR UN SYSTÈME DE СЕRТAINES FORMULES.
93. NOTE SUR QUELQUES FORMULES QUI SE RAPPORTENT À LA MULTIPLICATION DES FONCTIONS ELLIPTIQUES.
94. NOTE SUR L'ADDITION DES FONCTIONS ELLIPTIQUES.
95. NOTE SUR QUELQUES THÉORÈMES DE LA GÉOMÉTRIE DE POSITION.
96. MÉMOIRE SUR LES CONIQUES INSCRITES DANS UNE MÊME SURFACE DU SECOND ORDRE.
97. NOTE SUR LA SOLUTION DE L'ÉQUATION x 257 -1 = 0.
98. NOTE RELATIVE À LA SIXIÈME SECTION DU "MÉMOIRE SUR QUELQUES THÉORÈMES DE LA GÉOMÉTRIE DE POSITION."
99. NOTE SUR QUELQUES FORMULES QUI SE RAPPORTENT À LA MULTIPLICATION DES FONCTIONS ELLIPTIQUES.
100. NOTE SUR LA THÉORIE DES HYPERDÉTERMINANTS.
NOTES AND REFERENCES.
Cover

Full text

Xll 
CONTENTS. 
76. On the Triple Tangent Planes of Surfaces of the Third Order 
Camb. and Dubl. Math. Jour. t. iv. (1849), pp. 118—132 
77. On the order of certain Systems of Algebraical Equations 
Camb. and Dubl. Math. Jour. t. iv. (1849), pp. 132—137 
78. Note on the Motion of Rotation of a Solid of Revolution . 
Camb. and Dubl. Math. Jour. t. iv.' (1849), pp. 268—270 
79. On a System of Equations connected with Malfatti s Problem, 
and on another Algebraical System ..... 
Camb. and Dubl. Math. Jour. t. iv. (1849), pp. 270—275 
80. Sur quelques Transmutations des Lignes Courbes 
Liouville, t. xiv. (1849), pp. 40—46 
81. Addition au Memoire sur quelques Transmutations des Lignes 
Courbes ........... 
Liouville, t. xv. (1850), pp. 351—356 
82. On the Triadic Arrangements of Seven and Fifteen Things 
Phil. Mag. t. xxxvii. (1850), pp. 50—53 
*83. On Curves of Double Curvature and Developable Surfaces 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 18—22 
84. On the Developable Surfaces which arise from two Surfaces of 
the Second Order ......... 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 46—57 
85. Note on a Family of Curves of the Fourth Order 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 148—152 
86. On the Developable derived from an Equation of the Fifth Order 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 152—159 
*87. Notes on Elliptic Functions (from Jacobi) .... 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 201—204 
88. On the Transformation of an Elliptic Integral .... 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 204—206 
89. On the Attraction of Ellipsoids (Jacobis Method) 
Camb. and Dubl. Math. Jour. t. v. (1850), pp. 217—226 
PAGE 
445 
90. 
91. 
Note sur quelques Formules relatives aux Coniques 
Crelle, t. xxxix. (1850), pp. 1—3 
Sur le Problème des Contacts .... 
Crelle, t. xxxix. (1850), pp. 4—13

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Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 1)

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