| 19 | | |
| 20 | | {{{#!latex |
| 21 | | $ \quad \quad \quad \quad \quad \quad S(x,y,z) \\ |
| 22 | | px \quad \quad \ x-x_0 \\ |
| 23 | | py \quad \quad \ y-y_0 \\ |
| 24 | | pz \quad \quad \ z-z_0 \\ |
| 25 | | p \quad \quad \ \ Ax+By+Cz-D \\ |
| 26 | | cx \quad \quad \ y^2+z^2-r^2 \\ |
| 27 | | cy \quad \quad \ x^2+z^2-r^2 \\ |
| 28 | | cz \quad \quad \ x^2+y^2-r^2 \\ |
| 29 | | c/x \quad \quad (y-y_0)^2+(z-z_0)^2-r^2 \\ |
| 30 | | c/y \quad \quad (x-x_0)^2+(z-z_0)^2-r^2 \\ |
| 31 | | c/z \quad \quad (x-x_0)^2+(y-y_0)^2-r^2 \\ |
| 32 | | so \quad \quad \ \ x^2+y^2+z^2-r^2 \\ |
| 33 | | sx \quad \quad \ (x-x_0)^2+y^2+z^2-r^2 \\ |
| 34 | | sy \quad \quad \ x^2+(y-y_0)^2+z^2-r^2 \\ |
| 35 | | sz \quad \quad \ x^2+y^2+(z-z_0)^2-r^2 \\ |
| 36 | | s \quad \quad \ \ (x-x_0)^2+(y-y_0)^2+(z-z_0)^2-r^2 \\ |
| 37 | | sq \quad \quad A(x-x_0)^2+B(y-y_0)^2+C(z-z_0)^2+2D(x-x_0)+2E(y-y_0)+2F(z-z_0)+G \\ |
| 38 | | kx \quad \quad \sqrt{y^2+z^2}-t(x-x_0) \\ |
| 39 | | ky \quad \quad \sqrt{x^2+z^2}-t(y-y_0) \\ |
| 40 | | kz \quad \quad \sqrt{x^2+y^2}-t(z-z_0) \\ |
| 41 | | k/x \quad \quad \sqrt{(y-y_0)^2+(z-z_0)^2}-t(x-x_0) \\ |
| 42 | | k/y \quad \quad \sqrt{(x-x_0)^2+(z-z_0)^2}-t(y-y_0) \\ |
| 43 | | k/z \quad \quad \sqrt{(x-x_0)^2+(y-y_0)^2}-t(z-z_0) \\ |
| 44 | | tx \quad \quad \ \frac{(x-x_0)^2}{B^2}+\frac{\left( \sqrt{(y-y_0)^2+(z-z_0)^2} - A \right) ^2}{C^2} -1 \\ |
| 45 | | ty \quad \quad \ \frac{(y-y_0)^2}{B^2}+\frac{\left( \sqrt{(x-x_0)^2+(z-z_0)^2} - A \right) ^2}{C^2} -1 \\ |
| 46 | | tz \quad \quad \ \frac{(z-z_0)^2}{B^2}+\frac{\left( \sqrt{(x-x_0)^2+(y-y_0)^2} - A \right) ^2}{C^2} -1 \\ $ |
| 47 | | }}} |
| | 19 | [[Image(Guardyan_surfaces.png, 30%)]] |
