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C. G. J. Jacobi's gesammelte Werke (5. Band)

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

Bibliographic data

fullscreen: C. G. J. Jacobi's gesammelte Werke (5. Band)

Multivolume work

Persistent identifier:
1696944139
Author:
Feuerbach, Ludwig
Title:
Ludwig Feuerbach's sämmtliche Werke
Year of publication:
1846
Place of publication:
Leipzig
Publisher of the original:
Druck und Verlag von Otto Wigand
Identifier (digital):
1696944139
Language:
German
Additional Notes:
Bände 1-10 erschienen von 1846-1890.
Printer:
Wigand, Otto
Document type:
Multivolume work

Volume

Persistent identifier:
169695763X
Author:
Feuerbach, Ludwig
Title:
Theogonie nach den Quellen des classischen, hebräischen und christlichen Alterthums
Scope:
2 ungezählte Blätter, 446 Seiten, 1 ungezähltes Blatt
Year of publication:
1857
Place of publication:
Leipzig
Publisher of the original:
Verlag von Otto Wigand
Identifier (digital):
169695763X
Signature of the source:
a 1167(9)
Language:
German
Usage licence:
Public Domain Mark 1.0
Printer:
Wigand, Otto
Publisher of the digital copy:
Technische Informationsbibliothek Hannover
Place of publication of the digital copy:
Hannover
Year of publication of the original:
2020
Document type:
Volume
Collection:
Philosophy
Religion

Section

Title:
13. Furcht und Hoffnung.
Document type:
Multivolume work
Structure type:
Section

Contents

Table of contents

  • C. G. J. Jacobi's gesammelte Werke
  • C. G. J. Jacobi's gesammelte Werke (5. Band)
  • Cover
  • Title page
  • Title page
  • Title page
  • Vorwort.
  • INHALTSVERZEICHNIS DES FÜNFTEN BANDES. NACHGELASSENE AUF DIE THEORIE DER DIFFERENTIALGLEICHUNGEN UND AUF DYNAMIK SICH BEZIEHENDE ABHANDLUNGEN.
  • [1.] NOVE METHODUS, AEQUATIONES DIFFERENTIALES PARTIALES PRIMI ORDINIS INTER NUMERUM VARIABILIUM QUEMCUNQUE PROPOSITAS INTEGRANDI AUCTORE C. G. J. JACOBI.
  • Title page
  • Reductio problematis generalis in formam simpliciorem. 1.
  • 10. Inventa per aequationum praecedentium integrationem etiam functione p3, [...]
  • 20. Postquam antecedentibus monstratum est, [...]
  • Quum antecedentia forma quarta conditionum integratu!itatis innitantur, iam, ut problema variis rationibus condatur, reditur ad formam primam. 30.
  • Expressionum quaesitarum formatio ad duarum summarum determinationem revocatur. 40.
  • Eadem continuantur. Demonstratur, integrale tertium, quod e binis aequationum dynamicarum integralibus conflare licet, nullo modo pendere a variabilium electione. 50.
  • De casu quodam simplicissimo, quo e systemate elementorum canonico aliud ejusmodi systema eruatur. 60.
  • 70. Aequationes integrales systematis aequationum differentialium vulgarium propositi sub duabus maxime formis considerantur; [...]
  • [2.] DE INVESTIGANDO ORDINE SYSTEMATIS AEQUATIONUM DIFFERENTIALIUM VULGARIUM CUJUSCUNQUE AUCTORE C. G. J. JACOBI, [...]
  • [3.] ÜBER DIEJENIGEN PROBLEME DER MECHANIK IN WELCHEN EINE KRÄFTEFUNCTION EXISTIRT UND ÜBER DIE THEORIE DER STÖRUNGEN AUS DEN HINTERLASSENEN PAPIEREN C. G. J. JACOBI'S HERAUSGEGEBEN VON A. CLEBSCH
  • [4.] ÜBER DIE VOLLSTÄNDIGEN LÖSUNGEN EINER PARTIELLEN DIFFERENTIALGLEICHUNG ERSTER ORDNUNG AUS DEN HINTERE ASSENEN PAPIEREN C. G. J. JACOB PS HERAUSGEGEBEN VON A. CLEBSGH
  • [5.] ÜBER DIE INTEGRATION DER PARTIELLEN DIFFERENTIALGLEICHUNGEN ERSTER ORDNUNG ZWISCHEN VIER VARIABELN AUS DEN HINTERLASSENEN PAPIEREN C. G. J. JACOBI'S HERAUSGEGEBEN VON A. CLEBSCH
  • [6.] DE AEQUATIONUM DIFFERENTIALUM ISOPERIMETRICARUM TRANSFORMATIONIBUS EARUMQUE REDUCTIONE AD AEQUATIONEM DIFFERENTIALEM PARTIALEM PRIMI ORDINIS NON LINEAREM AUCTORE C. G. J. JACOBI, [...]
  • [7.] DE AEQUATIONUM DIFFERENTIALUM SYSTEMATE NON NORMALI AD FORMAM NORMALEM REVOCANDO AUCTORE C. G. J. JACOBI, [...]
  • ANMERKUNGEN [des Herausgebers].
  • NACHTRÄGLICHE BERICHTIGUNG ZWEIER STELLEN IM DRITTEN BANDE.
  • Druckfehler des fünften Bandes.
  • Cover

Full text

Wm 
inter numerum variabilium quemcunque propositas integrandi. 
( d P-2 \ 
( d Pk 
sic etiam exhiberi potest; 
ySqJ 
V dq 2 
) 
8 P2 f d P 3 \ d P-2 
i S M , 
dp 2 , 
dp m ' 
' d Prn\ 
d P-2 
( d Pk \ 
dp. A V dq k j d Pi 
UJ + 
dq k ) 
d V k 
\ dq 2 ) 
quae adhibendo aequationes 
( d P k . \ 
( d Pk 
\ 
in sequentem abit: 
v dgj 
' V d q k , 
1 
d P 2 ( d Pk \ 3P 2 / 
d Pk \ , 
dp 2 / 
d P k \ 
SPz 
( d Pk \ 
dp, V dq, ) dp 4 \ 
dq, ) 
1 dp \ 
L m 
SqJ 
dC lk 
V dq 2 ) 
Si aequationem l ara , 2 am , . . (m—2) tara vocamus, quae prodeunt ex aequatione 
praecedente loco k respective ponendo valores 3, 4, . . m, multiplicemus ae- 
quationem 2 am , 3 £ 
(m—2) tam per 
dp, dp ?> 
et productarum 
d P4 
d P: 
d P, ’ dp, 
sumrnam deducamus de prima; multiplicemus 3 am , 4 tam , . . (m — 2) tani pei 
dp 4 dp 4 
, • • •. -Qp et productarum summam deducamus de secunda: et ita porro. 
Eruetur his transactis systema aequationum hoc: 
(1) 
(B) 
(2) 
(m—3) 
('m—2) 
dp 2 dp. 
dp 2 
dp. A 
dp 2 dp. A 
+ dp, d q. 
dp-2 
’ + dp m 
dp; 
dp 3 d q. 
dp. 
dq. 
dq,n 
, d P‘2 
dp. A 
dp 2 
dp A dp 2 
dp; 
dp 2 
dp; 
d( h 
dp. 
dq. 
8p. dq, 
dp 
dq m 
dq 2 
dp 2 d Pi 
dp 2 
dp. 
dp 2 dp 4 
dp-2 
1 . I . 
dp. 
d P 3 dq. 
dp. 
dq. 
dp, dq. 
dp 
4 Ut 
dq 
4 ui 
+ 
dp 2 
dp, dp 2 
dp, 
dp 2 
dp, 
% 
dp6 dq. 
dPm 
dq m 
dq 2 
d P‘2 d P, n -1 
dp 2 
d P,n-1 
dP-2 dp m _ i i dp 2 
dp m _ ! 
dp 3 dq. 
dp. 
1 * * • 1 
dp .dq . dp 
dq m 
dp 2 dp m _, 
dpo 
_ dp,,.-, 
dq dp 
dq m 
dq 2 
dp 2 dp m 
dp 2 
dp 
L m 
_4 . , i 
dp 2 dp m ^ dp 2 
dp 
d Pz d q. 
dp. 
dq. 
1 • 1 
dp ,dq 1 dp 
4 rn—1 4 m—i 1 ru 
dq m 
dp 2 
dq
	        

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