Geometry

About Geometry

This app Geometry is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is kept small. Proofs are short and intuitive, mostly in the style of those found in a typical trigonometry or precalculus text. There is little attempt to teach theorem-proving or formal methods of reasoning. However the topics are ordered so that they may be taught deductively .

Geometry is a branch of mathematics that studies the sizes, shapes, positions angles, and dimensions of things. Flat shapes like squares, circles, and triangles are a part of flat geometry and are called 2D shapes. These shapes have only 2 dimensions, the length and the width.

Learn high school geometry for free Inside App ( Geometry ) —transformations, congruence, similarity, trigonometry, analytic geometry, and more. Full curriculum of exercises .

Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics.[3] Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained unsolved for several centuries.


Contents :

★ History
★ Main concepts
★ Axioms
★ Objects
★ Points
★ Lines
★ Planes
★ Angles
★ Curves
★ Surfaces
★ Manifolds
★ Length, area, and volume
★ Metrics and measures
★ Congruence and similarity
★ Compass and straightedge constructions
★ Dimension
★ Symmetry
★ Contemporary geometry
★ Euclidean geometry
★ Differential geometry
★ Non-Euclidean geometry
★ Topology
★ Algebraic geometry
★ Complex geometry
★ Discrete geometry
★ Computational geometry
★ Geometric group theory
★ Convex geometry
★ Applications
★ Art
★ Architecture
★ Physics
★ Other fields of mathematics
★ See also
★ Lists
★ Related topics
★ Other fields
★ Notes
★ Sources
★ Further reading
★ External links
★ Lines, Angles, and Triangles
★ Congruent Triangles
★ Quadrilaterals
★ Similar Triangles
★ Trigonometry and Right Triangles
★ Area and Perimeter
★ Regular Polygons and Circles
★ geometry
★ calculus with analytic geometry
★ geometric deep learning
★ geometry congruent triangles
★ proving triangles similar
★ IXL quadrilaterals
★ quadrilateral shape
★ proving similar triangles
★ similar right triangles
★ similar triangles formula
★ Math way trigonometry
★ trigonometry homework help
★ trigonometric identities
★ trigonometry help
★ right triangles and trigonometry