Search results
Results from the WOW.Com Content Network
Diagram illustrating three basic geometric sequences of the pattern 1(r n−1) up to 6 iterations deep.The first block is a unit block and the dashed line represents the infinite sum of the sequence, a number that it will forever approach but never touch: 2, 3/2, and 4/3 respectively.
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system.This contrasts with synthetic geometry.
The geometric series is an infinite series derived from a special type of sequence called a geometric progression.This means that it is the sum of infinitely many terms of geometric progression: starting from the initial term , and the next one being the initial term multiplied by a constant number known as the common ratio .
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
Hero of Alexandria (c. AD 10–70) – Euclidean geometry; Pappus of Alexandria (c. AD 290–c. 350) – Euclidean geometry, projective geometry; Hypatia of Alexandria (c. AD 370–c. 415) – Euclidean geometry
Balian was the youngest son of Barisan of Ibelin, and brother of Hugh and Baldwin. His father, a knight in the County of Jaffa, had been rewarded with the lordship of Ibelin after the revolt of Hugh II of Le Puiset. Barisan married Helvis of Ramla, heiress of the wealthy lordship of Ramla.
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement.
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations.This means that, compared to elementary Euclidean geometry, projective geometry has a different setting (projective space) and a selective set of basic geometric concepts.