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 ...

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 * Circular ...

s. It can be constructed from a right isosceles triangle ''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 o ...

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