Edourd Lill (1830 – 1900) was an Austrian engineer joining the military engineering corps of the Austrian Empire and reaching the rank of captain in that capacity. Lill is best remembered for his mathematical work, in particular for the modeling of 19th Century traffic problems, but he also developed a striking mathematical technique for locating the roots of polynomial equations.
This blog explains his method and provides a rationale for the geometry that lies behind it. The article explores a number of interesting examples including the construction of the golden ratio and its generalisation. It is perhaps most suitable for a senior secondary mathematics class, either as direct classroom curriculum material or extended project work.
This blog explains his method and provides a rationale for the geometry that lies behind it. The article explores a number of interesting examples including the construction of the golden ratio and its generalisation. It is perhaps most suitable for a senior secondary mathematics class, either as direct classroom curriculum material or extended project work.
| blog_1_lill’s_method.docx |
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