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Géométrie. Classe de Mathématiques (Programmes de 1945) by Lebossé C., Hémery C.

By Lebossé C., Hémery C.

Réimpression par les éditions Jacques Gabay d’un livre initialement publié par Fernand Nathan en 1961. Conforme au programme du 27 juin 1945.

Table des matières :

Première partie. — Éléments orientés

Leçon 1. — Vecteurs et coordonnées
    Vecteurs
    Sommes vectorielles
    Projections d’un vecteur
    Coordonnées

Leçon 2. — Angles orientés dans le plan
    Angles orientés dans le plan
    Angle de deux droites dans le plan
    Angles inscrits

Leçon three. — Éléments orientés dans l’espace. — Produit scalaire. — kinfolk métriques dans le triangle

Leçon four. — Trièdres
    Trièdres
    Relations entre les faces d’un trièdre
    Trièdres supplémentaires
    Cas d’égalité des trièdres

Deuxième partie. — Transformations

Leçon five. — variations. — Déplacements plans
    Transformations ponctuelles
    Déplacements plans
    Translation plane
    Rotation plane

Leçon 6. — Symétrie-droite dans le plan. — functions des déplacements et symétries

Leçon 7. — Déplacements dans l’espace
    Déplacements dans l’espace
    Translation dans l’espace
    Rotation dans l’espace

Leçon eight. — Symétries dans l’espace. — Comparaison. — Éléments de symétrie d’une figure

Leçon nine. — Homothétie
    Homothétie
    Applications de l’homothétie

Leçon 10. — Similitude dans le plan et dans l’espace

Leçon eleven. — department et faisceau harmoniques
    Division harmonique
    Faisceau harmonique
    Polaire d’un element par rapport à deux droites

Leçon 12. — Puissance par rapport à un cercle et à une sphère

Leçon thirteen. — Cercles orthogonaux. — Faisceaux de cercles. — Sphères orthogonales

Leçon 14. — Polarité par rapport à un cercle et à une sphère

Leçon 15. — Inversion dans le plan et dans l’espace

Leçon sixteen. — functions. — Projection stéréographique

Troisième partie. — Coniques

Introduction

Leçon 17. — Ellipse. — Tangentes à l’ellipse

Leçon 18. — Équation de l’ellipse. — Ellipse projection d’un cercle

Leçon 19. — Hyperbole. — Tangentes à l’hyperbole

Leçon 20. — Équation de l’hyperbole. — Propriétés kin aux asymptotes
    Équation de l’hyperbole
    Propriétés relations aux asymptotes
    Hyperbole équilatère

Leçon 21. — Parabole. — Tangentes à los angeles parabole. — Équation de los angeles parabole

Leçon 22. — Foyers et directrices

Leçon 23. — Propriétés communes
    Lieux géométriques
    Propriétés des tangentes
    Propriétés des normales

Leçon 24. — Sections planes d’un cône ou cylindre de révolution

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