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The basic quantities describing a sphere (meaning a 2-sphere, a 2-dimensional surface inside 3-dimensional space) will be denoted by the following variables . is the radius,
2.1 Mathematics. 2.2 Physics. ... Download as PDF; Printable version; In other projects Wikidata item; ... Class equation; Comparametric equation;
Toggle Mathematics (Geometry) subsection. 1.1 Algebraic curves. 1.1.1 Rational curves. ... Download as PDF; Printable version; In other projects Wikidata item ...
Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).
Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a) 2 + (y − b) 2 = r 2 where a and b are the coordinates of the center (a, b) and r is the radius. In Cartesian geometry, equations are used to describe geometric figures.
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.
where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.
The equation of the tangent line in Cartesian coordinates can be found by setting z=1 in this equation. [14] To apply this to algebraic curves, write f(x, y) as = + + + + where each u r is the sum of all terms of degree r. The homogeneous equation of the curve is then