There are three basic types of geometry: Euclidean, hyperbolic and elliptical. Although there are additional varieties of geometry, they are all based on combinations of these three basic types. Euclidean geometry is the original form, dating back to 300 BC, and it is the result of the work of the Greek Alexandrian mathematician Euclid, who developed the five postulates, or axioms, upon which his geometric theorems are built.Know More
Euclid's fifth postulate, known as the parallel postulate, went without an accompanying proof for thousands of years. The parallel postulate assumes that a straight line crossing through two other straight lines and forming two same-side interior angles of less than 90 degrees determines that those two lines, if extended far enough, will eventually meet on the side of the interior angles. This assumption, however, did not take into account the idea of curved space, which was first conceptualized by Albert Einstein in his 1915 General Theory of Relativity.
The idea of space existing with either a positive or a negative curvature introduced the idea of non-Euclidean geometry, in which the parallel postulate would not always hold true. In curved space, it cannot be assured that the two lines in question will ever meet, regardless of how far they might be extended. The geometry based on space with a negative curvature became known as hyperbolic geometry. Elliptical geometry refers to the type of geometry based on space with a positive curvature.Learn more about Geometry
The ancient Greek mathematician Euclid is often referred to as the father of geometry. Euclid lived in Alexandria around 300 B.C. and is the author of a treatise on mathematics and geometry known as "The Elements," widely acknowledged as one of the most important and influential books of all time.Full Answer >
In geometry, the flat surface of a solid figure is referred to as a "face." A solid figure is a three-dimensional geometric shape that contains "faces," "vertices" and "edges."Full Answer >
Studying geometry helps students improve logic, problem solving and deductive reasoning skills. The study of geometry provides many benefits, and unlike some other complex mathematical disciplines, geometry has many practical and daily applications. It is used in art, engineering, sports, cars, architecture and much more.Full Answer >
Geometry is the math related to proportions, or size, shape and position, so practical applications of geometry come in measurement and spatial reasoning. Everything from wrapping a gift to designing a backyard landscape is governed by geometry.Full Answer >