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Distances and Central Projections Distances and Central Projections
| Content Provider | Semantic Scholar |
|---|---|
| Author | Odehnal, Boris |
| Copyright Year | 2015 |
| Abstract | Given a point P in Euclidean space R3 we look for all points Q such that the length PQ of the line segments PQ from P to Q equals the length of the central image of the segment. It turns out that for any fixed point P the set of all points Q is a quartic surface Φ. The quartic Φ carries a one-parameter family of circles, has two conical nodes, and intersects the image plane π along a proper line and the three-fold ideal line p2 of π if we perform the projective closure of the Euclidean three-space. In the following we shall describe and analyze the surface Φ. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://hrcak.srce.hr/file/197556 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
