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Which is precisely defined using the undefined terms point and plane?

Question

Which is precisely defined using the undefined terms point and plane?

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Solution

Step 1: Define the Problem

Identify the key components of the question that need to be addressed: The question asks for a concept that is precisely defined using the undefined terms "point" and "plane."

Step 2: Break Down the Problem

Divide the problem into smaller, manageable parts:

  • Understand the undefined terms: "point" and "plane."
  • Identify geometric concepts that are defined using these terms.

Step 3: Apply Relevant Concepts

Use appropriate academic theories or formulas to solve each part of the problem:

  • In geometry, a "line" is often defined using the undefined terms "point" and "plane." A line can be described as a set of points extending in both directions without end, and it can lie on a plane.

Step 4: Analysis, Verify and Summarize

Analyze each part in detail if necessary, carry out the calculations by steps. Verify the calculations result and summarize the findings:

  • A line is defined by two points, and it can exist on a plane. Therefore, the concept of a "line" is precisely defined using the undefined terms "point" and "plane."

Final Answer

The concept that is precisely defined using the undefined terms "point" and "plane" is a "line."

This problem has been solved

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