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Thread: Distance measuring

  1. #1 Distance measuring 
    Forum Masters Degree thyristor's Avatar
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    Who was it that measured a distance with congruent triangles, and could somebody explain how he did it?


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  3. #2 Re: Distance measuring 
    Forum Ph.D. Leszek Luchowski's Avatar
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    Quote Originally Posted by thyristor
    Who was it that measured a distance with congruent triangles, and could somebody explain how he did it?
    I suppose you mean Thales of Miletus. To my knowledge, he measured the height of some tall object (a building, possibly a temple?) by measuring the length of its shadow on the ground, then using a proportion. He knew the ratio of because he also measured, at the same time of day, some smaller object (such as a stick) and its shadow.

    This is a classic and possibly first application of the Thales' theorem. Under this theorem,




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    Leszek. Pronounced [LEH-sheck]. The wondering Slav.
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