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Chapitre 1 Vision et image Compléments mathématiques

Chapitre 1 Vision et image Compléments mathématiques. Comprendre les formules de grandissement et de conjugaison. Mathématiquement : tan α = opp / adj = AB / OA = A’B’ / OA’ Si j’introduis les grandeurs algébriques : A’B’ = OA’ x AB / OA. Pour calculer le grandissement :

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Chapitre 1 Vision et image Compléments mathématiques

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  1. Chapitre 1 Vision et image Compléments mathématiques

  2. Comprendre les formules de grandissement et de conjugaison

  3. Mathématiquement : tan α = opp / adj = AB / OA = A’B’ / OA’ Si j’introduis les grandeurs algébriques : A’B’= OA’ xAB / OA

  4. Pour calculer le grandissement : γ = A'B' / AB = OA' / OA A'B' = OA' x AB / OA

  5. Mathématiquement : tan α = opp / adj = AB / OA = A’B’ / OA’ tan α’ = opp / adj = AB / OF’ = A’B’ / F’A’ avec F’A’ = OA’ – OF’

  6. Mathématiquement : AB / OA = A’B’ / OA’ AB / A’B’ = OA’ /OA AB / OF’ = A’B’ / F’A’ AB / A’B’ = (OA’ – OF’) / OF’ avec F’A’ = OA’ – OF’

  7. Mathématiquement : AB / A’B’ = OA’ /OA= (OA’ – OF’) / OF’ = OA’ / OF’ – OF’ / OF’ = OA’ / OF’ – 1

  8. Mathématiquement : OA’ /OA = OA’ / OF’ – 1 1 / OA = OA’ / (OF’ x OA’) – 1 / OA’ 1 / OA = 1 / OF’ – 1 / OA’

  9. 1 / OA = 1 / OF’ – 1 / OA’ 1 / OF’ = 1 / OA’ + 1 / OA Si j’introduis les grandeurs algébriques : 1 / OF’ = 1 / OA’ - 1 / OA 1 / f’ = 1 / p’ – 1 / p

  10. Pour calculer la position OA’ de l’image : 1 / OF' = 1 / OA' - 1 / OA 1 / OA’ = 1 / OF' + 1 / OA

  11. Chapitre 1 Vision et image Compléments mathématiques C’est fini…

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