Everything about Circle
Simple curve of Euclidean geometry
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of the circle and the centre is called the radius. The length of a line segment connecting two points on the circle and passing through the centre is called the diameter. The perimeter of a circle is called the circumference. A circle bounds a region of the plane called a disc. The ratio of a circle's circumference to its diameter is the mathematical constant pi. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: CircleA 5-minute orientation
- Skim a recent paper: Unprecedented fire activity above the Arctic Circle linked to rising temperaturesInfluential work since 2022
- Pick up a classic book: AtonementThe most-reprinted book on the subject
- Read the landmark paper: The use of the Slip Circle in the Stability Analysis of SlopesCited 2,283 times
- Go sideways: Tangent lines to circlesA closely related topic
- Go sideways: ParabolaA closely related topic
📖 Definitions
Noun A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).
Noun A two-dimensional geometric figure, a disk, consisting of the set of all those points of a plane at a distance less than or equal to a fixed distance (radius) from a given point.
Noun The orbit of an astronomical body.
Noun A circle of latitude.
🏆 Landmark papers (most cited)
The use of the Slip Circle in the Stability Analysis of Slopes
Serine, glycine and one-carbon units: cancer metabolism in full circle
Mutation detection and single-molecule counting using isothermal rolling-circle amplification
TH-17 cells in the circle of immunity and autoimmunity
Rolling circle amplification: a versatile tool for chemical biology, materials science and medicine
Rapid Amplification of Plasmid and Phage DNA Using Phi29 DNA Polymerase and Multiply-Primed Rolling Circle Amplification
Guidelines for Diagnosis and Treatment of Moyamoya Disease (Spontaneous Occlusion of the Circle of Willis)
The 1982 Interpersonal Circle: A taxonomy for complementarity in human transactions.
🆕 Influential since 2022
Unprecedented fire activity above the Arctic Circle linked to rising temperatures
Spatio-temporal evolution and driving factors of eco-environmental quality based on RSEI in Chang-Zhu-Tan metropolitan circle, central China
Supply-demand matching assessment of the public service facilities in 15-minute community life circle based on residents' behaviors
Functional nucleic acid biosensors utilizing rolling circle amplification
Full circle: Challenges and prospects for plastic waste management in Australia to achieve circular economy
📚 Books worth reading
AtonementIan McEwan · 2001
The Stone DiariesCarol Shields · 1993
Song of SolomonToni Morrison · 1634
2666Roberto Bolaño · 2004
AmericanahChimamanda Ngozi Adichie · 1969
All the Pretty HorsesCormac McCarthy · 1992- 📕Mathematical Essays and RecreationsHermann Schubert, Thomas J. McCormack · 1899
Love medicineLouise Erdrich · 1984
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Tangent lines to circles In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent…
- Parabola In mathematics, a parabola (/pəˈræbələ/ pə-RA-bə-lə) is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially…
- Ellipse In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of both distances to the two focal…
- Perpendicular In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of…
- Circular arc A circular arc is the arc of a circle between a pair of distinct points. If the two points are not directly opposite each other, one of these arcs, the…
- Hyperbola In mathematics, a hyperbola (/haɪˈpɜːrbələ/ hy-PUR-bə-lə) is a type of smooth curve lying in a plane, defined by its geometric properties or by equations…
- Intersection (geometry) In geometry, an intersection between geometric objects (seen as sets of points) is a point, line, or curve common to two or more objects (such as lines…
- Semicircle In mathematics (and more specifically geometry), a semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that…