Discussion
Consider the following statements about developments.
1. Every line on a development is a true length 2. A sphere can be developed exactly by fine enough subdivision 3. A cone's sector is struck with the slant height as radius
Answer: B
Correct answer: 1 and 3 only are correct
Statements 1 and 3 are correct: a development shows true lengths throughout, and a cone’s sector is struck with the slant height. Statement 2 is the one thing subdivision cannot achieve - a sphere has double curvature and no amount of refinement makes an approximation exact, which is why zone and lune methods are described as approximations.
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