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Class 10 > Learn UNIT II: Algebra > Why does "algebraic geometry" have geometry in its...
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Why does "algebraic geometry" have geometry in its name?

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Masters in Mathematics from IISER-TVM

Because we are using algebraic techniques/methods to solve a geometric problem.
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Algebraic geometry has geometry in its name as it deals with curves and surfaces which can be viewed as geometric objects or a solution of algebraic equation.
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It is field of mathematics that addresses geometrical issues by applying abstract algebraic methods, primarily from commutative algebra.
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deals with curves or surfaces (or more abstract generalisations of these) which can be viewed both as geometric objects and as solutions of algebraic (specifically, polynomial) equations.
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Chemistry Tutor with 4 years of experience

deals with curves or surfaces (or more abstract generalisations of these) which can be viewed both as geometric objects and as solutions of algebraic (specifically, polynomial) equations.
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Algebraic geometry have geometry in its name due to the word "geometry" in the name "algebraic geometry" reflects the fact that these geometric objects are the primary focus of the subject. Algebraic geometry uses algebraic tools to study these geometric objects, but the ultimate goal is to understand...
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Algebraic geometry have geometry in its name due to the word "geometry" in the name "algebraic geometry" reflects the fact that these geometric objects are the primary focus of the subject. Algebraic geometry uses algebraic tools to study these geometric objects, but the ultimate goal is to understand their geometric properties.

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Algebraic geometry is named for its geometric point. It studies curves and surfaces that can be viewed as both geometric objects and solutions to algebraic equations.
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