Bibliograph

Geometry, James Noggle

Type

Label

Geometry, James Noggle

Language

eng

Characteristic

videorecording

Main title

Geometry

Medium

videorecording DVD

Responsibility statement

James Noggle

Runtime

900

Series statement

The great courses. Science & mathematics

Summary

Topics include postulates, proofs, triangles, congruence and similarity, parallel lines, quadrilaterals, right triangles, circles, area, coodinate geometry, solids, constructions, and introduction to non-Euclidean geometries

Table Of Contents

Fundamental geometric concepts -- Angles and angle measure -- Inductive reasoning and deductive reasoning -- Preparing logical reasons for a two-column proof -- Planning proofs in geometry -- Parallel lines and planes -- Triangles -- Polygons and their angles -- Congruence of triangles -- Variations of congruent triangles -- More theorems related to congruent triangles -- Medians, altitudes, perpendicular and angle bisectors -- Parallelograms -- Rectangles, rhombuses and squares -- Trapezoids, isosceles trapezoids and kites -- Inequalities in geometry -- Ratio, proportion. and similarity -- Similar triangles -- Right triangles and the Pythagorean theorem -- Special right triangles -- Right-triangle trigonometry -- Applications of trigonometry in geometry -- Tangents, arcs and chords of a circle -- Angles and segments of a circle -- The circle as a whole and its parts -- The logic of constructions through applied theorems (part I) -- The logic of constructions (part II) -- Areas of polygons -- Prisms, pyramids and polyhedra -- Cylinders, cones and spheres

Technique

live action

Classification