In mathematics, a Carlyle circle is a certain circle in a coordinate plane associated with a quadratic equation; it is named after Thomas Carlyle. The circle has the property that the solutions of the quadratic equation are the horizontal coordinates of the intersections of the circle with the horizontal axis. Carlyle circles have been used to develop ruler-and-compass constructions of regular polygons.
mathematics, a Carlylecircle is a certain circle in a coordinate plane associated with a quadratic equation; it is named after Thomas Carlyle. The circle has the...
Dumfriesshire, Scotland, Carlyle attended the University of Edinburgh where he excelled in mathematics, inventing the Carlylecircle. After finishing the...
) / 4 {\displaystyle \left({\sqrt {5}}-1\right)/4} as desired. The Carlylecircle was invented as a geometric method to find the roots of a quadratic...
solutions in the diagram are −AX1/SA and −AX2/SA. The Carlylecircle, named after Thomas Carlyle, has the property that the solutions of the quadratic...
of the circle and the centre is called the radius. The circle has been known since before the beginning of recorded history. Natural circles are common...
Robert Carlyle OBE (born 14 April 1961) is a Scottish actor. His film work includes Trainspotting (1996), The Full Monty (1997), The World Is Not Enough...
285, 288, 291, 292, 296, ... (sequence A122254 in the OEIS) Polygon Carlylecircle Bold, Benjamin. Famous Problems of Geometry and How to Solve Them, Dover...
Circle of antisimilitude Bankoff circle Brocard circleCarlylecircle Circumscribed circle (circumcircle) Midpoint-stretching polygon Coaxal circles Director...
William Richmond in 1893. The following method of construction uses Carlylecircles, as shown below. Based on the construction of the regular 17-gon, one...
Platonic solid List of regular polytopes and compounds Equilateral polygon Carlylecircle Hwa, Young Lee (2017). Origami-Constructible Numbers (PDF) (MA thesis)...
angle and becomes physically impractical after about 20 binary digits. Carlylecircle Geometric cryptography Geometrography List of interactive geometry software...
successful solo career with radio hits such as "Mad About You", "I Get Weak", "Circle in the Sand", "Leave a Light On", and "Heaven Is a Place on Earth". The...
A certain construction of the regular heptadecagon involving the Carlylecircles can be represented by the expression 8R1 + 4R2 + 22C1 + 11C3 and has...
album, recorded live at New York City's Café Carlyle, Alan Cumming Sings Sappy Songs: Live at the Cafe Carlyle. He toured an aptly styled, intimate, cabaret-like...
dandyism" as defined by Victorian novelist George Meredith; whereas Thomas Carlyle, in his novel Sartor Resartus (1831), dismissed the dandy as "a clothes-wearing...
For instance, Carlyle is mostly referred to using she/her pronouns starting with Seven Surrenders, whereas in the first book Carlyle is referred to with...
1831 novel by the Scottish essayist, historian and philosopher Thomas Carlyle, first published as a serial in Fraser's Magazine in November 1833 – August...
bin Ladin, is a wealthy family intimately connected with the innermost circles of the Saudi royal family. It is the namesake and controlling shareholder...
in while she was out. An Evening with Sutton Foster: Live at the Café Carlyle (2011) Wish (2009) Take Me to the World (2018) Tours An Evening with Sutton...
Enlightenment: A Brave New Era for Carlyle?". In Kerry, Paul E.; Hill, Marylu (eds.). Thomas Carlyle Resartus: Reappraising Carlyle's Contribution to the Philosophy...