Tomahawk (geometric shape)

Tomahawk (geometric shape)
A standard tomahawk.
A tomahawk trisecting an angle. The handle forms one trisector and the blue line shown forms the other.

The tomahawk is a "tool" in geometry consisting of a semicircle and two line segments. The basic shape is constructible with compass and straightedge. It is possible to trisect an angle with the tomahawk. This does not contradict the usual theorem stating that an arbitrary angle cannot be trisected by compass and unmarked straightedge alone, as translating the constructed tomahawk into the required position is not a Euclidean construction.

External links


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Tomahawk — NOTOC Tomahawk may refer to: Miscellaneous *Tomahawk (axe), a type of axe made and used by Native Americans *Tomahawk (band), an alternative metal band fronted by Mike Patton *Tomahawk (geometric shape), a geometric shape that can be used to… …   Wikipedia

  • List of geometric shapes — This is a list of geometric shapes.Generally composed of straight line segments* polygon ** concave polygon ** constructible polygon ** convex polygon ** cyclic polygon ** decagon ** digon ** dodecagon ** nonagon ** equiangular polygon **… …   Wikipedia

  • Angle trisection — The problem of trisecting the angle is a classic problem of compass and straightedge constructions of ancient Greek mathematics.Two tools are allowed # An un marked straightedge, and # a compass, Problem: construct an angle one third a given… …   Wikipedia

  • List of mathematics articles (T) — NOTOC T T duality T group T group (mathematics) T integration T norm T norm fuzzy logics T schema T square (fractal) T symmetry T table T theory T.C. Mits T1 space Table of bases Table of Clebsch Gordan coefficients Table of divisors Table of Lie …   Wikipedia

  • United States — a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… …   Universalium

  • Glossary of shapes with metaphorical names — Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it. For example, U shape is a shape that resembles the letter U, a bell shaped curve has the shape of the vertical… …   Wikipedia

  • Royal Crown Derby — Pair of vases, 1772 1774, Derby Porcelain Factory (V A Museum no. 485 1875) The Royal Crown Derby Porcelain Company is a porcelain manufacturer, based in Derby, England. The company, particularly known for its high quality bone china, has… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”