A Brief Survey of Elliptic Geometry
... Elliptic geometry is a geometry in which no parallel lines exist. In order to discuss the rigorous mathematics behind elliptic geometry, we must explore a consistent model for the geometry and discuss how the postulates posed by Euclid and amended by Hilbert must be adapted. The most common and intu ...
... Elliptic geometry is a geometry in which no parallel lines exist. In order to discuss the rigorous mathematics behind elliptic geometry, we must explore a consistent model for the geometry and discuss how the postulates posed by Euclid and amended by Hilbert must be adapted. The most common and intu ...
Another SOL Study Guide
... The student will use pictorial representations, including computer software, constructions and coordinate methods, to solve problems involving symmetry and transformation. This will include investigating and using formulas for finding distance, midpoint, and slope; applying slope to verify and d ...
... The student will use pictorial representations, including computer software, constructions and coordinate methods, to solve problems involving symmetry and transformation. This will include investigating and using formulas for finding distance, midpoint, and slope; applying slope to verify and d ...
Slide 1
... 8-3 Solving Right Triangles San Francisco, California, is famous for its steep streets. The steepness of a road is often expressed as a percent grade. Filbert Street, the steepest street in San Francisco, has a 31.5% grade. This means the road rises 31.5 ft over a horizontal distance of 100 ft, whi ...
... 8-3 Solving Right Triangles San Francisco, California, is famous for its steep streets. The steepness of a road is often expressed as a percent grade. Filbert Street, the steepest street in San Francisco, has a 31.5% grade. This means the road rises 31.5 ft over a horizontal distance of 100 ft, whi ...
Lesson 1: Measurement and Geometry
... 1. Triangles ABC and FGH are similar triangles with corresponding parts as shown in the diagram. ABC is equal to which angle in triangle FGH? ...
... 1. Triangles ABC and FGH are similar triangles with corresponding parts as shown in the diagram. ABC is equal to which angle in triangle FGH? ...
Teaching Guiide
... Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry and draw all the symmetry lines. If it has rotation symmetry, state the angle of rotation. ...
... Determine whether the regular hexagon has reflection symmetry, rotation symmetry, both, or neither. If it has reflection symmetry, state the number of axes of symmetry and draw all the symmetry lines. If it has rotation symmetry, state the angle of rotation. ...
History of geometry
Geometry (from the Ancient Greek: γεωμετρία; geo- ""earth"", -metron ""measurement"") arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic).Classic geometry was focused in compass and straightedge constructions. Geometry was revolutionized by Euclid, who introduced mathematical rigor and the axiomatic method still in use today. His book, The Elements is widely considered the most influential textbook of all time, and was known to all educated people in the West until the middle of the 20th century.In modern times, geometric concepts have been generalized to a high level of abstraction and complexity, and have been subjected to the methods of calculus and abstract algebra, so that many modern branches of the field are barely recognizable as the descendants of early geometry. (See Areas of mathematics and Algebraic geometry.)