:There are many methods to trisect an angle using compass and straight edge ( note that I omitted Bo's " only " so I am not disagreeing with the statement above ).
12.
So how do I trisect that circle into 3 60 degree sections with a pencil, compass, protractor, and ruler at my disposal ? talk ) 14 : 28, 7 September 2012 ( UTC)
13.
*If I am reading ( and part guessing ) right, your construction rests upon the presumption that " In an isosceles triangle, the angle trisector of the vertex angle, trisects the base ".
14.
If I can trisect an angle, why can't i accurately divide a piece of paper into 3 equal parts with no instruments of measurement ?-- talk ) 01 : 18, 5 February 2012 ( UTC)
15.
If from each vertex of a triangle two cevians are drawn so as to trisect the angle ( divide it into three equal angles ), then the six cevians intersect in pairs to form an equilateral triangle, called the Morley triangle.
16.
Trisect the segment BC and find BD to be one third of BC . Draw a circle with center B and radius BD . Suppose the circle with center B intersects the spiral at point E . Angle ABE is one third angle ABC.
17.
In the fifth century BCE, Hippias used a curve that he called a quadratrix to both trisect the general angle and square the circle, and conchoid to trisect an arbitrary angle; but these methods also cannot be followed with just compass and straightedge.
18.
In the fifth century BCE, Hippias used a curve that he called a quadratrix to both trisect the general angle and square the circle, and conchoid to trisect an arbitrary angle; but these methods also cannot be followed with just compass and straightedge.
19.
Other 19th-century mathematicians utilized this in their proofs that straightedge and compass alone are not sufficient to trisect an arbitrary angle, to construct the side of a cube twice the volume of a given cube, nor to construct a square equal in area to a given circle.
20.
"From Houston Street, which forms the base of the triangle, three streets-- Commerce, Main, and Elm-- trisect the plaza, converging at the apex of the triangle to form a triple underpass beneath a multiple railroad bridge almost 500 feet from Houston Street.
