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A hyperbolic proportionality theorem and hyperbolic surveying problems

Published online by Cambridge University Press:  06 June 2019

Robert L Lamphere
Robert L Lamphere*
Affiliation:
Elizabethtown Community and Technical College, Elizabethtown, KY 42701, USA e-mail: robert.lamphere@kctcs.edu
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Extract

A surveyor often encounters problems like Problem 1:

Determine the length of side AC of the right triangle ABC with the right angle at B. A lake intersecting the sides AC and CE prevents the direct measurement of their sides.

Type
Articles
Information
The Mathematical Gazette , Volume 103 , Issue 557 , July 2019 , pp. 212 - 221
Copyright
© Mathematical Association 2019 

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References

Carslaw, H. S., The elements of non-euclidean plane geometry and trigonometry, Longmans, Green, 1916. Reprinted in Strings, figures, and other monographs, Chelsea (1960).Google Scholar
Sommerville, D. M. Y., The elements of non-euclidean geometry, Dover (1958).Google Scholar