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Geometry Basics Quiz

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Questions and Answers

What are mathematicians who work in the field of geometry called?

Calculusian

Geometer (correct)

Arithmetician

Algebraist

What did Carl Friedrich Gauss' Theorema Egregium assert?

Gaussian curvature depends on the specific embedding in a Euclidean space

Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space (correct)

Gaussian curvature is not relevant in Euclidean space

Gaussian curvature is only applicable to non-Euclidean spaces

What was geometry almost exclusively devoted to until the 19th century?

Euclidean geometry (correct)

Analytic geometry

Non-Euclidean geometry

Algebraic geometry

What is geometry concerned with?

Properties of space such as distance, shape, size, and relative position of figures Signup and view all the answers

In what area of mathematics are methods of algebraic geometry fundamental?

Wiles's proof of Fermat's Last Theorem Signup and view all the answers

What are the fundamental concepts included in Euclidean geometry?

Point, line, plane, distance, angle, surface, and curve Signup and view all the answers

In what area did Carl Friedrich Gauss make a remarkable discovery with Theorema Egregium?

Gaussian curvature of a surface Signup and view all the answers

What problem was Wiles's proof of Fermat's Last Theorem stated in terms of?

Elementary arithmetic Signup and view all the answers

What is the branch of mathematics concerned with properties of space such as distance, shape, size, and relative position of figures?

Geometry Signup and view all the answers

What are mathematicians who work in the field of geometry called?

Geometer Signup and view all the answers

Geometry Basics Quiz

Choose a study mode

Podcast

Questions and Answers

What are mathematicians who work in the field of geometry called?

What did Carl Friedrich Gauss' Theorema Egregium assert?

What was geometry almost exclusively devoted to until the 19th century?

What is geometry concerned with?

In what area of mathematics are methods of algebraic geometry fundamental?

What are the fundamental concepts included in Euclidean geometry?

In what area did Carl Friedrich Gauss make a remarkable discovery with Theorema Egregium?

What problem was Wiles's proof of Fermat's Last Theorem stated in terms of?

What is the branch of mathematics concerned with properties of space such as distance, shape, size, and relative position of figures?

What are mathematicians who work in the field of geometry called?

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