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analytical geometry

analytical geometry

5.5
A branch of math that uses algebra and coordinates to study shapes and lines
  • noun
  • /ˌænəˈlɪtɪkəl dʒiˈɒmətri/
  • Specialized
translation icon : geometría analítica
  • Similarly, say, for neuroscience: it's interesting to discover which parts of the brain are active when you do analytical geometry, but that seems to me an entirely different question from what the answer to the analytical geometrical problems is.

Examples

  • "Until later, I found out that this man Descartes discovered analytical geometry and calculus the same way, only, I suppose, without electricity."

    Fiction book (1998)
  • Gibbs gave it analytical geometry, and with boundary layer theory, Prandtl put fluid dynamics at the fingertips of all of us.

    Academic text (2011)
  • After all, it was Leibniz who generalized and articulated the mathematical notion of co-variance, which was used in Descartes's analytical geometry, and gave it the nomenclature of "function." 10

    Academic text (1998)
  • To understand the curves of an equation, you need to study analytical geometry which uses algebraic methods to describe geometric shapes.

  • In high school, we learned analytical geometry, which helped us visualize how algebra relates to real-world shapes.

  • The principles of analytical geometry allow mathematicians to solve problems involving distances and angles in a coordinate system.

Synonyms

analytic geometry
vsanalytical geometry
  • Specialized
1 6.4

A part of math that uses algebra and coordinates to study shapes

is the alternate adjective form used in the same sense
coordinate geometry
vsanalytical geometry
  • Specialized
5.1

Geometry that uses numbers and algebra to study points, lines, and shapes

emphasizes studying properties and relations through algebra and coordinates

How Advanced

descriptive geometry
  • Specialized
8.2
analytical geometry
  • Specialized
5.5

Surface Forms

Morphology

analytical + geometry

The meaning is directly and compositionally derived from 'analytical' (using analysis/reasoning) modifying 'geometry' (the study of shapes), so a learner who knows both words can infer it denotes a branch of geometry that uses analytical/algebraic methods. This adjective+noun pattern is cross-linguistically common (e.g. Spanish 'geometría analítica'), making the compound broadly transparent to B1 learners despite its technical nature.

Etymology

Analytical geometry gets its name from the words analysis, meaning using algebra and numbers, and geometry, meaning the study of shapes. Imagine putting a shape on a number grid and writing a math rule to match it. So, analytical geometry means 'using algebra and a number grid to study shapes'.