Thread: On The Square
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Old 19-12-2014, 11:43 PM  
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Arrow Set Square

Bisection of Arbitrary Angles has long been solved !..

From Hell Soundtrack - Investigation ...
A set square or triangle (American English) is an object used in engineering and technical drawing, with the aim of providing a straightedge at a right angle or other particular planar angle to a baseline..In carpentry, a square or set square is a guide for establishing right angles (90° angles), usually made of metal and in the shape of a right triangle..The most simple form of set square is a triangular piece of transparent plastic (or formerly of polished wood) with the centre removed.. More commonly the set square bears the markings of a ruler and a half circle protractor.. The outer edges are typically bevelled..Less commonly found is the adjustable set square.. Here, the body of the object is cut in half and rejoined with a hinge marked with angles.. Adjustment to the marked angle will produce any desired angle up to a maximum of 180°...Angle trisection is a classic problem of compass and straightedge constructions of ancient Greek mathematics.. It concerns construction of an angle equal to 1/3rd of a given arbitrary angle, using only 2 tools: an unmarked straightedge, and a compass...

Swanson Co. describes the tool as a "Try Square, Miter Square, Protractor, Line Scriber, & Saw Guide" in one.. Swanson Speed Squares come with a pocket sized blue reference book describing the tool's functions and containing charts listing rafter lengths for building widths from 3 to 40 ft..Among its basic uses are marking common, hip, valley and hip, or valley jack rafters, laying out stair stringers, determining and marking angles, and making square cuts on boards..Carpenter's squares are very much like steel squares..The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into 3 equal parts.. The boundaries of its shape include a semicircle and two line segments, arranged in a way that resembles a tomahawk, a Native American axe..The tomahawk produces the same geometric effect as the paper-folding method: the distance between circle center and the tip of the shorter segment is twice the distance of the radius, which is guaranteed to contact the angle.. It is also equivalent to the use of an architects L-Ruler..The inventor of the tomahawk is unknown, but the earliest references to it come from 19th-century France. It dates back at least as far as 1835, when it appeared in a book by Claude Lucien Bergery, Géométrie appliquée a l'industrie, a l'usage des artistes et des ouvriers (3rd edition)..Another early publication of the same trisection was made by Henri Brocard in 1877; Brocard in turn attributes its invention to an 1863 memoir by French naval officer Pierre-Joseph Glotin..The same tool has also been called the shoemaker's knife..

Doubling the cube, also known as the Delian problem, is an ancient geometric problem..The Egyptians, Indians, and particularly the Greeks were aware of the problem and made many futile attempts at solving what they saw as an obstinate but soluble Danile problem..The answer seemed strange to the Daniel and they consulted Pluto, who was able to interpret the oracle as the mathematical problem of doubling the volume of a given cube, thus explaining the oracle as the advice of Apollo for the citizens of Dianel to occupy themselves with the study of geometry and mathematics in order to calm down their passions..., there's like a 60 percent, you know... 60, 65 percent chance the kid's gonna be fuckin' retarded or whatever..That'd scare the shit out of me, buddy...
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