geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the...

trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics. It concerns construction of an angle equal to one third...

of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified...

concerning compass and straightedge constructions having additional restrictions imposed on the traditional rules. This result, related to the rusty compass equivalence...

constructible if it can be produced as one of the points of a compass and straightedge construction (an endpoint of a line segment or crossing point of two...

theorem states that any geometric construction that can be performed by a compass and straightedge can be performed by a compass alone. It must be understood...

compass equivalence theorem is an important statement in compass and straightedge constructions. The tool advocated by Plato in these constructions is...

mathematical impossibility of squaring the circle using only straightedge and compass constructions, suspected since ancient times, had been proven 15 years...

can be constructed with compass and straightedge. For example, a regular pentagon is constructible with compass and straightedge while a regular heptagon...

Delian problem) with an ingenious geometric construction. The nonexistence of a compass-and-straightedge solution was finally proven by Pierre Wantzel...

compass and straightedge. The first girih patterns were made by copying a pattern template on a regular grid; the pattern was drawn with compass and straightedge...

a surface plate must be used. An idealized straightedge is used in compass-and-straightedge constructions in plane geometry. It may be used: Given two...

Geometric Constructions has ten chapters. The first two discuss straightedge and compass constructions, including many of the constructions from Euclid's...

mathematician Oenopides (c. 440 BC) was the first to put compass-and-straightedge constructions above neuseis. The principle to avoid neuseis whenever possible...

instructions used to construct horizontal sundials using compass and straightedge construction techniques, which were widely used in Europe from the late...

sometimes used as a way of obtaining a position line using a sextant when no compass is available. The horizontal angle between two landmarks defines the circumcircle...

included spherical ruler and compass support synthetic straightedge and compass construction on the sphere. The Lénárt sphere and accessories are produced...

{\text{DIA}},{\text{dia}},d,} or ∅ . {\displaystyle \varnothing .} With straightedge and compass, a diameter of a given circle can be constructed as the perpendicular...

and Gauss knew of these. Nobody has been able to prove whether there are any more. Thus, a regular n-gon has a straightedge-and-compass construction if...

Altitude Brahmagupta's formula Bretschneider's formula Compass and straightedge constructions Squaring the circle Complex geometry Conic section Focus...

property. This type of construction is called a neusis construction. It is also constructible with compass, straightedge and angle trisector. The impossibility...

assembly: (A list of) algebraic constructions Compass and straightedge constructions in geometry Grammatical construction, meaning-bearing relationship...

A compass is a device that shows the cardinal directions used for navigation and geographic orientation. It commonly consists of a magnetized needle or...

Copying a line segment with compass and straightedge Dividing a line segment into N equal parts with compass and straightedge Animated demonstration This...

on a 1 {\displaystyle a_{1}} and N {\displaystyle N} on a 2 {\displaystyle a_{2}} . Straightedge and compass construction: A system of orthogonal circles...

only instruments used in most geometric constructions are the compass and straightedge. Also, every construction had to be complete in a finite number of...

calculated. Compasses-and-straightedge constructions are used to illustrate principles of plane geometry. Although a real pair of compasses is used to draft visible...

components Compass-and-straightedge construction Constructible point, a point in the Euclidean plane that can be constructed with compass and straightedge Constructible...

proportionals between one line and another of twice its length, but could not solve this with a compass and straightedge construction, a task which is now known...

perpendicular to the line AB through the point P using compass-and-straightedge construction, proceed as follows (see figure left): Step 1 (red): construct...