In algebraic geometry, the trisectrix of Maclaurin is a cubic plane curve notable for its trisectrix property, meaning it can be used to trisect an angle...

In geometry, a trisectrix is a curve which can be used to trisect an arbitrary angle with ruler and compass and this curve as an additional tool. Such...

limaçon trisectrix is the name for the quartic plane curve that is a trisectrix that is specified as a limaçon. The shape of the limaçon trisectrix can be...

also a trisectrix, a curve that can be used to trisect angles. A rose with k = ⁠1/3⁠ is a limaçon trisectrix that has the property of trisectrix curves...

{\displaystyle 3a^{2}/2} . The folium of Descartes is related to the trisectrix of Maclaurin by affine transformation. To see this, start with the equation...

double point Strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of Maclaurin Tschirnhausen cubic Witch of Agnesi Ampersand curve Bean...

Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of Maclaurin Tschirnhausen cubic Witch of Agnesi Quartic plane curves...

lines at any singular point. For example, the equation of the limaçon trisectrix shown to the right is ( x 2 + y 2 − 2 a x ) 2 = a 2 ( x 2 + y 2 ) . {\displaystyle...

Trisection using the Archimedean spiral Trisection using the Maclaurin trisectrix There are certain curves called trisectrices which, if drawn on the plane...

Sluze Right strophoid Semicubical parabola Serpentine curve Trident curve Trisectrix of Maclaurin Tschirnhausen cubic Witch of Agnesi Ampersand curve Bean...

Newton's philosophical discoveries (1749) Braikenridge–Maclaurin theorem Trisectrix of Maclaurin Cayley's sextic Cramer's paradox Hesse configuration Sinusoidal...

The quadratrix or trisectrix of Hippias (also quadratrix of Dinostratus) is a curve which is created by a uniform motion. It is one of the oldest examples...

equation in biangular coordinates is linear. The name is derived from the trisectrix of Maclaurin (named for Colin Maclaurin), which is a prominent member...

of the rose family of curves. This curve is a trisectrix, and is sometimes called the limaçon trisectrix. When b > a {\displaystyle b>a} , the limaçon...

Archibald, though it is sometimes known as de L'Hôpital's cubic or the trisectrix of Catalan. Put t = tan ⁡ ( θ / 3 ) {\displaystyle t=\tan(\theta /3)}...

theorem describes a property of Hippias' trisectrix, that allows for the squaring the circle if the trisectrix can be used in addition to straightedge...

squaring the circle. To solve this problem, Dinostratus made use of the trisectrix of Hippias, for which he proved a special property (Dinostratus' theorem)...

the family) a = −1, cissoid of Diocles a = −2, right strophoid a = −4, trisectrix of Maclaurin Smith, David Eugene (1958), History of Mathematics, Volume...

Hyperboloid of one sheet Hyperboloid of two sheets A parabola can be used as a trisectrix, that is it allows the exact trisection of an arbitrary angle with straightedge...

Constructible polygon Pierpont prime Quadratrix Steel square Tomahawk (geometry) Trisectrix Benjamin, Elliot; Snyder, C (May 2014). "On the construction of the regular...

mathematician – Maclaurin series, Maclaurin's inequality, Sectrix of Maclaurin, Trisectrix of Maclaurin. Rowland Hussey Macy, American businessman – Macy's. Johann...

cubic curves containing several well-known examples. Specifically: The Trisectrix of Maclaurin given by 2 x ( x 2 + y 2 ) = a ( 3 x 2 − y 2 ) {\displaystyle...

subsection, subsector, subsegment, suprasegmental, transect, transection, trisectrix, vivisection sedeō -sideō sede- -side- sed- sess- sit dissident, insidious...

family includes, in addition to the cissoid of Diocles listed above, the trisectrix of Maclaurin (d = −⁠c/3⁠) and the right strophoid (d = −c). Inverting...

1:18 "Root" - 1:06 "Net" - 1:19 "Lie Group" - 1:10 "Reduction" - 1:03 "Trisectrix of MacLaurin" - 1:07 "Interpolation" - 1:09 "Gradients" - 1:16 "Random...