some of a family of curves thought as the locus of a place, P, on a line from certain fixed point and intersecting two offered curves, C1 and C2, where the distance along the range from C1 to P continues to be constant and equat on distance from P to C2.
A curve invented by Diocles, for the true purpose of resolving two celebrated issues of the higher geometry; viz., to trisect a plane perspective, and build two geometrical means between two provided straight outlines.
A curve of this third-order and third class, having a cusp during the origin and a point of inflection at infinity.
it absolutely was created by one Diocles, a geometer of this second century b. c., with a view into answer regarding the famous dilemma of the duplication regarding the cube, or perhaps the insertion of two mean proportionals between two offered right lines. Its equation is x=y (a—x). In cissoid of Diocles the generating curve is a circle; a spot A is believed on this circle, and a tangent M M' through the contrary extremity associated with diameter attracted from A; then the residential property regarding the curve is that if from A any oblique line be attracted to M M', the segment with this range involving the group and its own tangent is equivalent to the portion between A and the cissoid. But the name has sometimes been offered in subsequent times to any or all curves described in a similar manner, where the generating bend is not a circle.
Any of a family group of curves understood to be the locus of a place, P, on a line from a given fixed-point and intersecting two provided curves, C1 and C2, in which the distance over the line from C1 to P remains constant and equat on distance from P to C2.
A curve conceived by Diocles, for the purpose of resolving two famous problems of the higher geometry; viz., to trisect an airplane perspective, also to build two geometrical means between two given right lines.
A curve regarding the third order and third class, having a cusp during the beginning and a point of inflection at infinity.
It was designed by one Diocles, a geometer associated with 2nd century b. c., with a view towards option associated with the popular problem of the duplication of cube, or the insertion of two mean proportionals between two provided straight outlines. Its equation is x=y (a—x). Within the cissoid of Diocles the generating curve is a circle; a place A is assumed about this circle, and a tangent M M' through the opposite extremity of this diameter attracted from A; then the property associated with bend is if from A any oblique line be drawn to M M', the part for this line involving the group and its tangent is equal to the portion between A and the cissoid. But the name has actually sometimes already been given in later times to all or any curves explained in a similar way, where in actuality the generating curve is not a circle.
A theory or system of social reform which contemplates a complete reconstruction of society with a more just and equitable distribution of property and labor In popular usage the term is often employed to indicate any lawless revolutionary social scheme See Communism Fourierism Saint Simonianism forms of socialism...
How would you define cissoid?