Across
- 5. A set of values that show an exact position. Commonly seen as a pair of numbers:(9,-6).
- 7. The mathematical study of the properties that are preserved through deformations,twistings, and stretchings of a object. Tearing is not allowed.
- 9. The size of a surface. The amount inside the boundary of a flat object.
- 10. The measure of the size of an object. Usually given as length, width, and height.
- 13. Alexandrian Greek mathematician. The mathematical system, Euclidean Geometry, was attributed to him.
- 14. The boundless 3-D extent in which objects and events have relative position and direction. Often conceived in 3 linear dimensions.
- 15. A basic structure in incidence geometry. Consists of a set of elements called points, and a set of elements called lines.
- 17. A Greek mathematician. Produced formulas to calculate areas of regular shapes.
- 19. A statement that has been proved on the basis of previously established statements. Generally accepted statements, such as axioms.
Down
- 1. Also known as orientation or attitude of an object. The imaginary rotation that is needed to move the object from past _ to current _.
- 2. Deals with e finding and properties of derivatives and integrals of functions. Methods originally based on the summation of infinitesimal differences.
- 3. A topological space that locally resembles Euclidean space near each point. Each point has a neighborhood that is homeomorphic to the Euclidean space of dimension.
- 4. A type of geometry. The study of the projective properties of geometric figures.
- 6. A cosmological theory. Based on the existence of cosmic strings.
- 8. A drawing method. Makes it possible to depict a 3-D form as 2-D image.
- 11. A clear formulation of a specific property or a logically consistent proof of a theorem. Meant to serve as signposts leading to mathematical understanding.
- 12. Abstract science of number, quantity, and space. May be studied in it's own right, or as it is applied to other disciplines.
- 15. Most extended dimension of an object. Any quantity with dimension distance.
- 16. A branch of mathematics. Concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.
- 18. A math term. The measure of the amount of space inside a solid figure.