Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations
Applications of Mathematics, Tome 16 (1971) no. 3, pp. 215-219.
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Explicit expression are given for the coordinates of foci and vetices of quadrics in terms of the coefficients of their equations in Cartesian coordinates. Given expressions are restricted on the case of quadrics whose axes are not parallel to the coordinate axes $(a_{12}\neq 0)$. For $a_{12}=0)$, some of the expressions require a limiting process.
@article{10_21136_AM_1971_103347, author = {Mi\v{s}o\v{n}, Karel}, title = {Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its {Cartesian} equations}, journal = {Applications of Mathematics}, pages = {215--219}, publisher = {mathdoc}, volume = {16}, number = {3}, year = {1971}, doi = {10.21136/AM.1971.103347}, mrnumber = {0287406}, zbl = {0218.65003}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1971.103347/} }
TY - JOUR AU - Mišoň, Karel TI - Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations JO - Applications of Mathematics PY - 1971 SP - 215 EP - 219 VL - 16 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1971.103347/ DO - 10.21136/AM.1971.103347 LA - en ID - 10_21136_AM_1971_103347 ER -
%0 Journal Article %A Mišoň, Karel %T Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations %J Applications of Mathematics %D 1971 %P 215-219 %V 16 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1971.103347/ %R 10.21136/AM.1971.103347 %G en %F 10_21136_AM_1971_103347
Mišoň, Karel. Explicit expressions for the coordinates of foci and vertices of a quadric in dependence on the coefficients of its Cartesian equations. Applications of Mathematics, Tome 16 (1971) no. 3, pp. 215-219. doi : 10.21136/AM.1971.103347. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1971.103347/
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