He also contributes to the history of the trisection of an angle.
In other words, the trisection of any angle, by the use of the straightedge and compasses alone, is impossible.
He derives the cubic equation upon which the trisection depends algebraically, also the equations of the fifth degree and seventh degree upon which the divisions of the angle into 5 and 7 equal parts depend, respectively.
The difficulty only arises when we attempt the trisection of any other than a right angle, its trisection being easily effected with a pair of compasses.
Lastly, we shall notice among problems of this class--the Trisection of an Angle, which it is asserted can only be accomplished by means of the conic sections and some other curves.
A rule for the cubic equation by which the problem of trisection is solved has been given by Cardan.
There is a trisection of which I have lost both cutting and reference: I think it is in the United Service Journal.
Geometry versus Algebra; or the trisection of an angle geometrically solved.
Wallich,[35] who was anxious to persuade a poor countryman of his, that trisection of the angle was waste of time.
Yet the problem of the trisection is frequently attacked by men of some mathematical education.
Has the problem of the trisection of the angle been solved?
The problem of the trisection of the angle by aid of the straight line and circle, used as in Euclid, has never been solved--no reward was ever offered for its solution.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "trisection" in a variety of sentences. We hope that you will now be able to make sentences using this word.
