2d_graphics
Differences
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| 2d_graphics [2012/08/02 23:11] – javapimp | 2d_graphics [2023/08/18 18:15] (current) – external edit 127.0.0.1 | ||
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| Intersection: | Intersection: | ||
| + | a``graph width=320; height=220; xmin=-8.3; xmax=8.3; ymin=-3.3; ymax=8.3; xscl=1; yscl=1; plot(1/2*x + 2); enda``graph | ||
| < | < | ||
| - | <div class=" | + | <embed class=" |
| - | <embed class=" | + | |
| - | </div> | + | |
| </ | </ | ||
| Line 52: | Line 51: | ||
| `y = -2x + 7` | `y = -2x + 7` | ||
| - | < | + | |
| - | <div class=" | + | <embed class=" |
| - | <embed class=" | + | |
| - | </ | + | |
| - | </ | + | |
| ===== Intersection of two lines ===== | ===== Intersection of two lines ===== | ||
| Line 71: | Line 68: | ||
| amath | amath | ||
| - | 1/2 x + 2 = -2x + 7\\ | + | 1/2 x + 2 = -2x + 7 |
| + | |||
| + | Now solve for x: | ||
| 1/2 x + 2x + 2 = 7\\ | 1/2 x + 2x + 2 = 7\\ | ||
| 5/2 x + 2 = 7\\ | 5/2 x + 2 = 7\\ | ||
| Line 89: | Line 89: | ||
| The point of intersection of the two lines is `(2, 3)` | The point of intersection of the two lines is `(2, 3)` | ||
| + | |||
| + | ===== Find point on a line ===== | ||
| + | Given a point on a line `(x, y)` a slope `m` and a distance `d` along the line from the given point, what is the `(x_1, y_1)` of the new point? | ||
| + | |||
| + | `c = cos(theta) = 1/sqrt(1 + m^2)`\\ | ||
| + | `s = sin(theta) = m/sqrt(1 + m^2)`\\ | ||
| + | `x_1 = x + d * c`\\ | ||
| + | `y_1 = y + d * s` | ||
| ===== Pythagorean theorem ===== | ===== Pythagorean theorem ===== | ||
2d_graphics.1343949077.txt.gz · Last modified: 2023/08/18 18:15 (external edit)