Angle trisection drawn through formula_25 to the semicircle, resulting in the intersection formula_28. The angle formula_48 generated by formula_49 and formula_50 is the angle formula_51 sought. Another means to trisect an arbitrary angle by a "small" step outside the Greek framework is via a ruler with two marks a set distance apart. The next construction is originally due to Archimedes, called a "Neusis construction", i.e., that uses tools other than an "un-marked" straightedge. The diagrams we use show this construction for an acute angle, but it indeed works for any angle up to 180 degrees. This requires three facts from geometry (at
Lonely Planet Six Degrees Lonely Planet Six Degrees Lonely Planet Six Degrees is Lonely Planet's flagship travel show, hosted by Asha Gill and Toby Amies. The show is centered on unique people living within locations, rather than simply famous tourist attractions, with one of the hosts meeting with one contact in a specific country, who in turn leads them to another contact, and so on, following the idea of six degrees of separation. In the first season Asha travelled to Mumbai, Buenos Aires, Kuala Lumpur, Melbourne, Auckland, Cape Town, London, and Singapore; while Toby travelled to Sydney, New York City, Havana, Hong Kong, Berlin,