All Questions
Tagged with analytic-geometry mg.metric-geometry
4
questions
10
votes
4
answers
6k
views
Place of Analytic geometry in modern undergraduate curriculum
I am a freshmen student in mathematics at Moscow State University (in Russia) and I'm confused with placing the subject called "analytic geometry" into the system of mathematical knowledge (if you ...
- 101
8
votes
1
answer
1k
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Did Apollonius invent co-ordinate geometry?
When I read descriptions of Apollonius' treatise on conics, some of them say that he invented co-ordinate geometry, some say that he kind of did and others are silent on the matter. Or is it the case ...
- 4,231
2
votes
0
answers
21
views
Properties of shapes defined by locus of points with a function of distances
Different shapes such as hyperbola and ellipse can be defined as a locus of points. For example, if we denote distance to points $P_1$ and $P_2$ from any arbitrary point as $d_1(x,y)$ and $d_2(x,y)$. ...
- 133
1
vote
0
answers
48
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Associativity property of the gyrobarycenter
I'm using Ungar's terminology and notations. In the open unit ball of $\mathbb{R}^n$, let $GB(A_1, \ldots, A_N; m_1, \ldots, m_N)$ be the gyrobarycenter of the points $(A_1, \ldots, A_N)$ with ...
- 2,353