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Façade Measurement by Trigonometry

In: Architecture and Mathematics from Antiquity to the Future

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  • Paul A. Calter

    (Vermont Technical College)

Abstract

We are all familiar with the trigonometry textbook problem: “the angle of elevation to the top of a building from a point 200 ft from… Find the height of the building”. Here we describe a trigonometric method that not only measures heights of points on a building, but widths and depths of those points. The procedure involves readings with a theodolite, and computations of the readings by a computer. It was developed for the purpose of measuring historic monuments, where the erection of scaffolding to accommodate hand measuring is often impossible. This method also provides a low-cost alternative to stereogrammetric procedures. The method was tested by taking measurements of the facade of Green Academic Center at Vermont Technical College.

Suggested Citation

  • Paul A. Calter, 2015. "Façade Measurement by Trigonometry," Springer Books, in: Kim Williams & Michael J. Ostwald (ed.), Architecture and Mathematics from Antiquity to the Future, edition 127, chapter 0, pages 261-269, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-00137-1_18
    DOI: 10.1007/978-3-319-00137-1_18
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