externally tangent

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• Tangent lines to circles — In Euclidean plane geometry, tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to …   Wikipedia

• Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

• Steiner chain — In geometry, a Steiner chain is a set of n circles, all of which are tangent to two given non intersecting circles (blue and red in Figure 1), where n is finite and each circle in the chain is tangent to the previous and next circles in the chain …   Wikipedia

• Special cases of Apollonius' problem — In Euclidean geometry, Apollonius problem is to construct all the circles that are tangent to three given circles. Limiting cases of Apollonius problem are those in which at least one of the given circles is a point or line, i.e., is a circle of… …   Wikipedia

• Distance of closest approach of ellipses and ellipsoids — The distance of closest approach of two objects is the distance between their centers when they are externally tangent. The objects may be geometric shapes or physical particles with well defined boundaries. The distance of closest approach is… …   Wikipedia

• Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …   Wikipedia

• Descartes' theorem — For other uses, see Descartes theorem (disambiguation). In geometry, Descartes theorem, named after René Descartes, establishes a relationship between four kissing, or mutually tangent, circles. The theorem can be used to construct a fourth… …   Wikipedia

• Pappus chain — In geometry, the Pappus chain was created by Pappus of Alexandria in the 3rd century AD.ConstructionThe arbelos is defined by two circles, C U and C V, which are tangent at the point A and where C U is enclosed by C V. Let the radii of these two… …   Wikipedia

• Nine-point circle — The nine points In geometry, the nine point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant points defined from the triangle. These nine points are: The midpoint of each …   Wikipedia

• Monge's theorem — In geometry, Monge s theorem, named after Gaspard Monge, states that for any three circles in a plane, none of which is inside one of the others, the three intersection points of the three pairs of external tangent lines are in fact collinear.… …   Wikipedia

• Nephroid — The nephroid is the red curve Half of a nephroid in coffee glass The nephroid is a plane curve whose …   Wikipedia