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OTOH, it might be more useful to show people what can be geometrically constructed. Since Ancient Greeks knew that circles CAN BE squared, regular heptagons CA
by c517402 10y ago
OTOH, it might be more useful to show people what can be geometrically constructed. Since Ancient Greeks knew that circles CAN BE squared, regular heptagons CAN BE constructed, and angles CAN BE trisected by neusis methods[1]. I don't think this is widely taught. Why don't we teach what can be done rather than what can't be done when you limit yourself to straight edge and compass?
I wonder how difficult it would be to add neusis to the construction techniques in Euclidea or GeoGebra.
[1]https://en.m.wikipedia.org/wiki/Neusis_construction https://en.m.wikipedia.org/wiki/Neusis_construction
- murkle 10y agoYou mean something like this :) https://www.geogebra.org/m/cWfHr7pk https://www.geogebra.org/m/cWfHr7pk You could turn it into a custom tool in GeoGebra if you think that would be helpful. Also worth noting that you can do angle construction in GeoGebra in other ways (for example, just divide the angle by 3 instead of 2!)