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List of formulas in elementary geometry information


This is a short list of some common mathematical shapes and figures and the formulas that describe them.

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List of formulas in elementary geometry

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title (link) "Area Formulas". "List of Basic Geometry Formulas". 27 May 2018. Treese, Steven A. (2018). History and Measurement of the Base and Derived...

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Circumference

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which sets a lower bound on the surface area of a set given its volume List of formulas in elementary geometry San Diego State University (2004). "Perimeter...

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Euclidean geometry

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geometric properties by means of algebraic formulas. The Elements is mainly a systematization of earlier knowledge of geometry. Its improvement over earlier...

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Geometry

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Category:Topologists List of formulas in elementary geometry List of geometry topics List of important publications in geometry Lists of mathematics topics...

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Euclidean distance

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smallest distance among pairs of points from the two objects. Formulas are known for computing distances between different types of objects, such as the distance...

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Area

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hand, if geometry is developed before arithmetic, this formula can be used to define multiplication of real numbers. Most other simple formulas for area...

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Cylinder

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traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle...

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Synthetic geometry

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Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is geometry without the use of coordinates. It relies on the axiomatic...

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History of geometry

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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...

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Analytic geometry

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Quadrics in "Geometry Formulas and Facts", excerpted from 30th Edition of CRC Standard Mathematical Tables and Formulas, CRC Press, from The Geometry Center...

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Affine geometry

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In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance...

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Elliptic geometry

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Elliptic geometry is an example of a geometry in which Euclid's parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel...

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Algebraic geometry

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polynomials with real coefficients. These formulas are thus the formulas which may be constructed from the atomic formulas by the logical operators and (∧), or...

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Axiom

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These are certain formulas in a formal language that are universally valid, that is, formulas that are satisfied by every assignment of values. Usually...

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Hyperbolic geometry

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In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate...

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Cone

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base (and the whole cone) has a circular symmetry. In common usage in elementary geometry, cones are assumed to be right circular, where circular means that...

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Mathematical logic

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the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic...

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Model theory

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algebraic geometry − fields. where logical formulas are to definable sets what equations are to varieties over a field. Nonetheless, the interplay of classes...

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Theorem

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well-formed formulas of some formal language. A theory consists of some basis statements called axioms, and some deducing rules (sometimes included in the axioms)...

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Equation

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In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. The word...

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Foundations of mathematics

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hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories...

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Torsion of a curve

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In the differential geometry of curves in three dimensions, the torsion of a curve measures how sharply it is twisting out of the osculating plane. Taken...

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Mathematical proof

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mathematical exercise in elementary geometry classes in the United States. The proof is written as a series of lines in two columns. In each line, the left-hand...

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Molecule

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both semi-correct molecular geometries, such as a linear water molecule, and correct molecular formulas, such as H2O: In 1917, an unknown American undergraduate...

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Finite geometry

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A finite geometry is any geometric system that has only a finite number of points. The familiar Euclidean geometry is not finite, because a Euclidean...

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