Geometry
* All geometries have a possible molecule shape that is linear.
* Geometries are abstract, symbolic universes or manifolds.
* Identify the cube, cyliner, sphere, cone, triangle, rectangle, circle, and square.
* Most geometry is related to mensuration.
* Provides links to a large number of geometric shapes.
* Some geometries have an optimum alpha-shape.
* also involves angles
  - trains the eye to shape and form which leads to creative expression
* appears in works of art, architectural wonders, and physical structures.
* begins utilizing polygons and symmetry while calculating perimeter, area, and volume.
* begins with 'a' point and moves outward to understand the 'whole'
  - definitions of abstract, unvisualized objects
* concerns itself with properties, measurement, and relationships in space.
* consists of two parts, plane and solid.
* course which introduces geometric shapes and the logical study of their properties.
* deals with sets of points in a plane or in space.
* defines form or structure.
* develops one's ability to organize information and present it in a clear, logical fashion.
* dominant characteristic of native art forms.
* draws the soul towards truth.
* encourages developing the ability to relate two different cognitive functions.
* enlightens the intellect and sets one's mind right.
* explores the cube , tetrahedron , icosahedron , and dodecahedron.
* fundamental archetype.
* gives visual meaning to arithmatic and algebra.
* good example of the use of deductive reasoning.
* has a long history of such systematic study.
* includes the study of lines.
* introduces the fundamentals of proof in Euclidean geometry.
* is about solving equations in mathematical structures
  - all about shapes
  - also a visual art form seen in the design of quilts and in architecture
  - an integrated course in plane, solid and coordinate geometry
  - another aspect of the concept of operations
  - concerned with the properties of space and of objects in space
  - deeply related to physics and promotes progress in mathematics
  - experienced sensorially through manipulation of both plane and solid geometric figures
  - founded in the study of the Earth
  - important in other branches of mathematics
  - in cities, trees, oceans and all other views in life
  - integrated with arithmetic, algebra, and numerical trigonometry
  - introduced when children try to fit shapes into a larger tangram puzzle
  - knowledge of the eternally existent
  - limited to flat picture planes
* is one of the most visual courses in high school mathematics
  - oldest branches of mathematics
  - perfection in structured form
  - rich in structures, patterns and interrelations
  - science
  - sculpture
  - seen in fabric patterns, house painting, and tattoos
  - subjects
* is taught in relation to forms in a painting or drawing
  - the context of computer graphics
* is the archetype of the beauty of the world
  - art of correct reasoning on incorrect figures
  - branch of mathematics that deals with the properties of space and objects
  - mathematical study of shapes, figures, and positions in space
* is the mathematics of points, lines, angles, surfaces, and solids
  - shape and space
  - mystical place where mathematics becomes Interesting
  - noblest branch of physics
  - paradigm of a science
  - positioning of widgets on the visual screen
  - root class of the hierarchy
  - science of correct reasoning on incorrect figures
* is the study of figures
  - plane and solid figures in two and three dimensions
  - shapes and spaces
  - simple spatial relationships
  - the properties of shapes
  - today the most honoured science
  - used to define new objects in a topological sense
* local quantity that measures the intrinsic curvature of a surface.
* means 'measure of life'.
* often plays a novel role in resolving a central tension faced by industrial designers.
* physical entity, very much like matter.
* plays a very important role in the creation of a map projetion
  - an important role, with the grid and circular forms being especially prevalant
* problem of the past.
* provides the multidimensional space in which events can occur.
* really begins in kindergarten with the concepts of size, area, perimeter, and symmetry.
* refers to shapes being correctly rendered by a display.
* relates to spatial knowledge, the apprehension of objects and their relationships in space.
* represents the uniform elatedness of nature, especially of spatio-temporal relations.
* requires the use of figures so that it utilizes the imagination instead of the reason.
* science which determines the properties of space synthetically, and yet a priori.
* starts with a few simple ideas that are thought to be true, called axioms.
* studies the patterns of shape
  - properties of geometric figures such as triangles, squares, cubes etc
* tells matter how to move.
* tool for calculating aspects of steering geometry
  - humans have developed to look at and understand our world
* traditional study of Euclidean geometry.
+ Geometry, Examples
  - Origins
  * Geometry began as the art of measuring the shape of land so that it could be shared fairly between people. It means to measure the land. It has grown from this to become one of the most important parts of mathematics. The Greek mathematician Euclid wrote the first book about geometry. Geometry is one of the oldest branches of mathematics