Point right over here on each of these rays. Two points that are equidistant from this That have half the measure of the first angle. To make a line that goes right in between How can this possibly not be a total win. She trisects arbitrary angles using only a unmarked straightedge and compass using a neusis construction. Has she nailed it? If not, why not? She fullfills the requirement exactly. She uses a neusis construction with an unmarked straightedge and compass. Note, a marked straightedge, like a ruler or something. It is possible to trisect an arbitrary angle by using tools other than straightedge and compass.įor example, neusis construction, also known to ancient Greeks, involves simultaneous sliding and rotation of a marked straightedge, which cannot be achieved with the original tools" end quote. For example, it is relatively straightforward to trisect a right angle (that is, to construct an angle of measure 30 degrees). However, although there is no way to trisect an angle in general with just a compass and a straightedge, some special angles can be trisected. The problem as stated is impossible to solve for arbitrary angles, as proved by Pierre Wantzel in 1837. It concerns construction of an angle equal to one third of a given arbitrary angle, using only two tools: an unmarked straightedge and a compass. Now on the wikipedia page it says the following, and I quote: "Angle trisection is a classical problem of compass and straightedge constructions of ancient Greek mathematics. She uses an unmarked straightedge and compass to trisect an angle. It is said to be impossible, because apparently Euclid said so.īut the girl in this video is doing exactly that. I have been watching a couple of videos about trisecting arbitrary angles, using only an unmarked straightedge and compass.
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