Algèbre, Arithmétique et Géométrie. Classe de Troisième by C.; Hemery, C. Lebosse PDF

By C.; Hemery, C. Lebosse

Cours conforme au programme du 23 juin 1962.

Table des matières :

Algèbre et Arithmétique

Leçon 1 — Rapports
Leçon 2 — Proportions
Leçon three — Racine carrée entière d’un nombre entier
Leçon four — Racine carré approchée. — Racine carrée exacte
Leçon five — Radicaux arithmétiques. — Racines d’un nombre relatif
Leçon 6 — Expressions algébriques. — Monômes
Leçon 7 — Polynômes
Leçon eight — Multiplication des monômes et des polynômes
Leçon nine — Identités remarquables
Leçon 10 ­— department des monômes et des polynômes. — Décomposition en facteurs
Leçon eleven — Fractions rationnelles
Leçon 12 — Équation du foremost degré à une inconnue
Leçon thirteen — Équations qui se ramènent au ideal degré. — Équations littérales
Leçon 14 — Systèmes d’équations du most desirable degré
    Élimination par substitution
    Élimination par addition
    Généralisations
Leçon 15 — Inéquation du best degré à une inconnue
Leçon sixteen — Les problèmes d’algèbre
Leçon 17 — Fonctions et graphiques
Leçon 18 — Étude de l. a. fonction : y = ax
Leçon 19 — Étude de l. a. fonction : y = ax + b
Leçon 20 — functions de los angeles fonction : y = ax + b

Géométrie

I. Géométrie plane

Leçon 1 — Rapport de deux segments. — issues divisant un phase dans un rapport donné
Leçon 2 — Théorème de Thalès
Leçon three — purposes du théorème de Thalès
    Propriété des bissectrices d’un triangle
    Constructions
Leçon four — Triangles semblables
    Premières applications
Leçon five — Cas de similitude des triangles
Leçon 6 — purposes de los angeles similitude
Leçon 7 — family members métriques dans le triangle rectangle
Leçon eight — Rapports trigonométriques
Leçon nine — kin trigonométriques dans le triangle rectangle
Leçon 10 — kinfolk métriques dans le cercle
Leçon eleven — buildings géométriques
Leçon 12 — Polygones réguliers. — Périmètre du cercle
Leçon thirteen — Mesure des aires

II. Géométrie dans l’espace

Leçon 14 — Généralités sur le plan
Leçon 15 — Droites parallèles. — attitude de deux droites
Leçon sixteen — Droite et plan parallèles
Leçon 17 — Plans parallèles
Leçon 18 — Droite et plan perpendiculaires
Leçon 19 — Droites orthogonales. — Perpendiculaires et obliques
Leçon 20 — Angles dièdres
Leçon 21 — Plans perpendiculaires
Leçon 22 — Projections orthogonales. — Vecteurs

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