Euclidean geometry Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry: the ''Elements''. Euclid's approach consists in assuming a small set of intuitively appealing axioms ...

, Moss's egg is an

oval An oval () is a closed curve in a plane which resembles the outline of an egg. The term is not very specific, but in some areas (projective geometry, technical drawing, etc.) it is given a more precise definition, which may include either one o ...

made by smoothly connecting four

circular arc Circular may refer to: * The shape of a circle * ''Circular'' (album), a 2006 album by Spanish singer Vega * Circular letter (disambiguation) ** Flyer (pamphlet), a form of advertisement * Circular reasoning, a type of logical fallacy * Circula ...

s. It can be constructed from a right

isosceles triangle In geometry, an isosceles triangle () is a triangle that has two sides of equal length. Sometimes it is specified as having ''exactly'' two sides of equal length, and sometimes as having ''at least'' two sides of equal length, the latter versio ...

''ABC'' with apex ''C''. To construct Moss's egg: *Draw a

semicircle In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. The full arc of a semicircle always measures 180° (equivalently, radians, or a half-turn). It has only one line ...

on the base ''AB'' of the triangle, outside of the triangle. *Connect it to a circular arc centered at ''B'' from ''A'' to a point ''D'' on line ''BC'', and by another circular arc centered at ''A'' from ''B'' to a point ''E'' on line ''AC''. *Complete the oval by a circular arc centered at ''C'', from ''D'' to ''E''.

References

External links

Video: How to draw an egg
The Aperiodical Piecewise-circular curves {{elementary-geometry-stub