problem of apollonius造句
例句與造句
- A natural setting for problem of Apollonius is inversive geometry.
- He also contributed to Euclidean geometry, including the problem of Apollonius.
- In general, the solution to the problem of Apollonius is that there are eight such circles.
- It also allows for a natural treatment of Dupin cyclides and a conceptual solution of the problem of Apollonius.
- Poles and polars were defined by Joseph Diaz Gergonne and play an important role in his solution of the problem of Apollonius.
- It's difficult to find problem of apollonius in a sentence. 用problem of apollonius造句挺難的
- The problem of Apollonius has a natural generalization involving " n " + 1 hyperspheres in " n " dimensions.
- Reye also developed a novel solution to the following three-dimensional extension of the problem of Apollonius : Construct all possible spheres that are simultaneously tangent to four given spheres.
- When, in 1595, Vieta published his response to the problem set by Adriaan van Roomen, he proposed finding the resolution of the old problem of Apollonius, namely to find a circle tangent to three given circles.
- Another classic problem in enumerative geometry, of similar vintage to conics, is the Problem of Apollonius : a circle that is tangent to three circles in general determines eight circles, as each of these is a quadratic condition and 2 3 = 8.
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- It's helpful to many editors to use the " cite " family of citation templates found at WP : CIT . You can copy and paste the templates into your sandbox and fool around them to get the hang of it, or you can imitate the methods used in the mathematics FA articles such as Problem of Apollonius.
- In discussing the Problem of Apollonius, they mention that Edmond Laguerre's solution considered circles with orientation . ( p 13 ) In presenting " radicals ", they say " The symbol for radical is not the hammer and sickle, but a sign three or four centuries old, and the idea of a mathematical radical is even older than that . " ( p 16 ) " Ruffini and Abel showed that equations of the fifth degree could not be solved by radicals . " ( p 17 ) ( Abel-Ruffini theorem)
- Sometimes I'll ask my better educated friends here ( from grad students to professors ) to review a geometry or physics article that I've worked months on, articles that I've always striven to make intelligible and which can't be " that " complicated, if I can understand them . : ) And yet, despite my mightiest efforts to explain and the wealth of my excellent thesaurus, my friends often give up and say, " it's way over my head . " Examples would be the Laplace-Runge-Lenz vector or the problem of Apollonius, both of which I'm sure must seem trivially simple to you.