plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of Perga (c. 262...

ratio of distances to the other two. The isodynamic points and Lemoine line of a triangle can be solved using these circles of Apollonius. Apollonius' problem...

plan from Apollonius himself, who visited Pergamon, Eudemus insisted Apollonius send him each book before release. At this stage Apollonius was likely...

(2007), "The tangency problem of Apollonius: three looks" (PDF), BSHM Bulletin: Journal of the British Society for the History of Mathematics, 22 (1):...

(rule and compass) of the lost answer to the problem first set by Apollonius of Perga. Van Roomen could not overcome that problem without resorting to...

geometry, Apollonius' problem is to construct all the circles that are tangent to three given circles. Special cases of Apollonius' problem are those...

on Apollonius' Theorem". Resource Notes. Mathematics in School. 36 (5): 24–25. JSTOR 30216074. Stokes, G. D. C. (1929). "The theorem of Apollonius by...

and a conceptual solution of the problem of Apollonius. Lie sphere geometry can be defined in any dimension, but the case of the plane and 3-dimensional...

up Apollonius in Wiktionary, the free dictionary. Apollonius (Ancient Greek: Άπολλώνιος) is a masculine given name which may refer to: Apollonius of Athens...

Systems of mutually tangent circles were studied by Apollonius of Perga, after whom the problem of Apollonius and the Apollonian gasket are named. In the 17th...

quadrilaterals Problem of Apollonius Recreational mathematics Seki Takakazu Holly, Jan E.; Krumm, David (2020-07-25). "Morikawa's Unsolved Problem". arXiv:2008...

Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of...

Apollonius of Rhodes (Ancient Greek: Ἀπολλώνιος Ῥόδιος Apollṓnios Rhódios; Latin: Apollonius Rhodius; fl. first half of 3rd century BC) was an ancient...

the Problem of Apollonius Construction of the Malfatti circles: For a given triangle determine three circles, which touch each other and two sides of the...

the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square with the area of a given circle by...

heavenly ascension. Most modern scholars of antiquity agree that Apollonius existed historically. Apollonius was born into a respected and wealthy aristocratic...

The problem of Apollonius is one of the earliest examples of enumerative geometry. This problem asks for the number and construction of circles that are...

texts of Euclid, Archimedes, Apollonius, and Pappus in particular went on to influence the development of early modern mathematics. Some problems in Ancient...

problem briefly in 1643, in two letters to Princess Elisabeth of the Palatinate. Descartes initially posed to the princess the problem of Apollonius....

positive views of him. He rediscovered the Descartes' theorem in 1936 and published it as a poem, "The Kiss Precise", quoted at Problem of Apollonius. The kissing...

Lester's theorem Problem of Apollonius Whitworth, William Allen (1866). Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two Dimensions...

trigonometry and geometry; and on the decimal expansion of pi. He solved the Problem of Apollonius using a new method that involved intersecting hyperbolas...

mathematician Apollonius, who asked how many circles in the plane are tangent to three given circles. In general, the solution to the problem of Apollonius is that...

Mobile phone tracking Multidimensional scaling Positioning system Problem of Apollonius § Applications Radiolocation Radio navigation Real-time locating...

"hobby" himself). He published a number of translations of major works of Euclid, Archimedes, Apollonius of Perga and others; most are still used today...

solution of the Apollonius problem has been known for centuries. But the Apollonius point was first noted in 1987. The Apollonius point of a triangle...

planes. Homothetic centers of circles Problem of Apollonius Wells, David (1991). The Penguin Dictionary of Curious and Interesting Geometry. New York: Penguin...

simple solution of the problem of Apollonius—describing a circle touching three given circles—which he discovered in 1805, his generalization of Euler's formula...

to another three. It is named after Greek mathematician Apollonius of Perga. The construction of the Apollonian gasket starts with three circles C 1 {\displaystyle...

Apollonian circles, Apollonian gasket, Apollonian network, Apollonius' theorem, Problem of Apollonius Saint Thomas Aquinas, Italian philosopher – Thomism, many...