Synonymer & Anagram | Engelska ordet STRAIGHTEDGE

Exempel på hur du använder STRAIGHTEDGE i en mening

• A point is 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 lines or circles), starting from a given unit length segment.
• The idealized ruler, known as a straightedge, is assumed to be infinite in length, have only one edge, and no markings on it.
• Usually, the instrument is rigid and the edge itself is a straightedge ("ruled straightedge"), which additionally allows one to draw straighter lines.
• He published a systematic treatment of geometrical constructions (with straightedge and compass) in 1880.
• Jørgen Mohr (Latinised Georg(ius) Mohr; 1 April 1640 – 26 January 1697) was a Danish mathematician, known for being the first to prove the Mohr–Mascheroni theorem, which states that any geometric construction which can be done with compass and straightedge can also be done with compasses alone.
• Constructible point, a point in the Euclidean plane that can be constructed with compass and straightedge.
• In his Geometria del Compasso (Pavia, 1797), he proved that any geometrical construction which can be done with compass and straightedge, can also be done with compasses alone.
• One reason was their interest in solving geometrical problems that could not be solved using standard compass and straightedge construction.
• As with the related problems of squaring the circle and trisecting the angle, doubling the cube is now known to be impossible to construct by using only a compass and straightedge, but even in ancient times solutions were known that employed other methods.
• Angle trisection is a classical problem of straightedge and compass construction of ancient Greek mathematics.
• A straightedge or straight edge is a tool used for drawing straight lines, or checking their straightness.
• In the 5th century BC, Hippocrates reduced this problem to that of finding two mean 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 to be impossible.
• As 17 is a Fermat prime, the regular heptadecagon is a constructible polygon (that is, one that can be constructed using a compass and unmarked straightedge): this was shown by Carl Friedrich Gauss in 1796 at the age of 19.
• In this way, the resulting geometries of origami are stronger than the geometries of compass and straightedge, where the maximum number of solutions an axiom has is 2.
• Some abstract problems have been rigorously proved to be unsolvable, such as squaring the circle and trisecting the angle using only the compass and straightedge constructions of classical geometry, and solving the general quintic equation algebraically.
• As 10 = 2 × 5, a power of two times a Fermat prime, it follows that a regular decagon is constructible using compass and straightedge, or by an edge-bisection of a regular pentagon.
• The product of the five known Fermat primes is equal to the number of sides of the largest regular constructible polygon with a straightedge and compass that has an odd number of sides, with a total of sides numbering.
• As , regular icosagon is constructible using a compass and straightedge, or by an edge-bisection of a regular decagon, or a twice-bisected regular pentagon:.
• For example, a regular pentagon is constructible with compass and straightedge while a regular heptagon is not.
• As 11 is not a Fermat prime, the regular hendecagon is not constructible with compass and straightedge.

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