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He gave geometrical solutions to doubling a cube and trisecting an angle in this book.
He also considered the equation associated with the problem of trisecting an angle, namely a cubic equation.
Astrolabes were circular devices that arranged the stars into three ‘paths’, trisecting the sky at the eastern horizon.
The instrument panel is trisected, with distinct gauge clusters, trim, and finishes for each level.
Today, even as traffic signals multiply and thick yellow lines bisect and trisect the roads, motorists, scooterists and non-conformists all line up together at painfully long red lights and plan strategy.
My own heritage is more far-flung, encompassing Wales, England, Germany, and Hungary, as well as countries in eastern Europe that no longer exist, having been bisected and trisected by countless wars.
It was a favourite with 17 Century mathematicians and could be used, as Nicomedes had intended, to solve the problems of duplicating the cube and trisecting an angle.
The right of the two diagrams shows how this hyperbola can be used to trisect the angle AOB.
Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs.
The second cone image represents these different regions with horizontal lines trisecting the cone.
The ‘mathematical problems’ may have been those of duplicating the cube and trisecting the angle.
The dancers hurtled feverishly in a circle, then pressed outward into two parallel lines, trisecting the original diagonal pathway.
What the proposals amounted to was a plan to trisect the West Bank into three cantons by annexing blocs of settlements.
Like so many curves it was studied to provide a solution to one of the ancient Greek problems, this one is in relation to the problem of trisecting an angle.
The curve, so named by Roberval, can be used to trisect an angle.
The world now adapts to a trisected geopolitical system, and leaders must begin to focus on minimizing the inevitable strive that will result.
Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic.
In particular they used kinematic methods to solve the classical problem of trisecting an angle.
Prima facie, the long-standing problems of trisecting an angle, squaring a circle, and doubling a cube are not questions of existence.
For few people now live in the area, and the lane has become a short cut, a speed track between Basuki Rakhmad and Pemuda, the two great bitumen rivers trisecting the centre of East Java's capital Surabaya.