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In New York State, Regents Examinations are statewide standardized examinations in core high school subjects. Students were required to pass these exams to earn a Regents Diploma. To graduate, students are required to have earned appropriate credits in a number of specific subjects by passing year-long or half-year courses, after which they ...
In Euclidean geometry, a plane is a flat two- dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space . A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimal thin. While a pair of real numbers suffices to describe points on a plane, the ...
Incircle and excircles. Incircle and excircles of a triangle. In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides. The center of the incircle is a triangle center called the triangle's incenter. [ 1] An excircle or escribed circle[ 2 ...
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [ 1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [ 2] Geometry is, along with arithmetic, one of the ...
In mathematics, the differential geometry of surfaces deals with the differential geometry of smooth surfaces [ a] with various additional structures, most often, a Riemannian metric. [ b] Surfaces have been extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space and intrinsically, reflecting ...
Consequently, in the successor state of Indonesia, the term regent is used in English to mean a bupati, the head of a kabupaten (second level local government). In Malaysia , a pemangku raja is the interim ruler of a Malay state if its king is elected to be the Yang di-Pertuan Agong for the usual five-year term, or is unable to assume their role.
In 2009, measurements of the direction and speed of ions in the atmosphere were made from a sounding rocket. The altitude of 118 km (73.3 mi) above Earth was the midpoint for charged particles transitioning from the gentle winds of the Earth's atmosphere to the more extreme flows of outer space.
La Géométrie. The work was the first to propose the idea of uniting algebra and geometry into a single subject [ 2] and invented an algebraic geometry called analytic geometry, which involves reducing geometry to a form of arithmetic and algebra and translating geometric shapes into algebraic equations. For its time this was ground-breaking.