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Algebra et Geometria II: Trigonometria, Nvmeri Complexi et Geometria Spatii

Trigonometria, nvmeri complexi, matrices et geometria analytica spatii.

Argvmentvm cvrsvs

Pars 0Praesentatio cvrsvs

  1. 01Ratio stvdiorvm cvrsvs Algebrae et Geometriae II

Pars 1Fvnctiones trigonometricae et coordinatae polares

  1. 02Fvnctiones trigonometricae et coordinatae polares: introdvctio
  2. 03Angvli eorvmqve mensvra: gradvs et radiani
  3. 04Rationes trigonometricae et circvmferentia vnitariaCvm ratione
  4. 05Fvnctiones trigonometricae earvmqve delineationesCvm ratione
  5. 06Fvnctiones trigonometricae inversaeCvm ratione
  6. 07Solvtio triangvlorvm: theoremata sinvvm et cosinvvmCvm ratione
  7. 08Coordinatae polares et cvrvae polaresCvm ratione
  8. 09Trigonometria et coordinatae polares: synthesis et provocationesCvm ratione

Pars 2Trigonometria analytica

  1. 10Trigonometria analytica: introdvctioSvbscriptioCvm ratione
  2. 11Identitates trigonometricae fvndamentalesSvbscriptioCvm ratione
  3. 12Formvlae additionis et svbtractionis, angvli dvpli et dimidiiSvbscriptioCvm ratione
  4. 13Transformatio svmmarvm in prodvcta et forma harmonicaSvbscriptioCvm ratione
  5. 14Aeqvationes et inaeqvationes trigonometricaeSvbscriptioCvm ratione
  6. 15Angvlvs dvarvm rectarvm et vsvs trigonometriaeSvbscriptioCvm ratione
  7. 16Rotatio axivm et aeqvatio generalis secvndi gradvsSvbscriptioCvm ratione
  8. 17Trigonometria analytica: synthesis et provocationesSvbscriptioCvm ratione

Pars 3Nvmeri complexi forma polari

  1. 18Nvmeri complexi forma polari: introdvctioSvbscriptioCvm ratione
  2. 19Forma polaris nvmerorvm complexorvmSvbscriptioCvm ratione
  3. 20Formvla Moivreana et potentiae nvmerorvm complexorvmSvbscriptioCvm ratione
  4. 21Radices ordinis n nvmeri complexi et radices vnitatisSvbscriptioCvm ratione
  5. 22Exponentialis complexa et formvla EvleriSvbscriptioCvm ratione
  6. 23Geometria per nvmeros complexosSvbscriptioCvm ratione
  7. 24Aeqvationes polynomiales complexae: formvlae Cardani et FerrariiSvbscriptioCvm ratione
  8. 25Nvmeri complexi forma polari: synthesis et provocationesSvbscriptioCvm ratione

Pars 4Matrices et strvctvrae algebraicae

  1. 26Matrices et strvctvrae algebraicae: introdvctioSvbscriptioCvm ratione
  2. 27Matrices et operationes cvm matricibvsSvbscriptioCvm ratione
  3. 28Systemata linearia et methodvs Gavssii et IordaniSvbscriptioCvm ratione
  4. 29Determinantia: proprietates et regvla CrameriSvbscriptioCvm ratione
  5. 30Matrix inversaSvbscriptioCvm ratione
  6. 31Matrices vt transformationes planiSvbscriptioCvm ratione
  7. 32Nvmeri complexi vt matricesSvbscriptioCvm ratione
  8. 33Strvctvrae algebraicae: greges, anvli et corporaSvbscriptioCvm ratione
  9. 34Matrices et strvctvrae algebraicae: synthesis et provocationesSvbscriptioCvm ratione

Pars 5Geometria analytica spatii

  1. 35Geometria analytica spatii: introdvctioSvbscriptioCvm ratione
  2. 36Vectores in spatio et prodvctvm scalareSvbscriptioCvm ratione
  3. 37Prodvctvm vectoriale et prodvctvm mixtvmSvbscriptioCvm ratione
  4. 38Rectae et plana in spatioSvbscriptioCvm ratione
  5. 39Distantiae, angvli et volvmina in spatioSvbscriptioCvm ratione
  6. 40Geometria analytica spatii: synthesis et provocationesSvbscriptioCvm ratione

Pars 6Conclvsio cvrsvs

  1. 41Recognitio finalis cvrsvs Algebrae et Geometriae IISvbscriptioCvm ratione