Sophism(?!) - - - Messages
lots of Studio projects don't work anymore.
Page 1 of this document solves line/intersection/circle.
Further down red complains. Slope/Intercept are kaput Solver.
You can rescue from the numerical code ... page 6
Eventually, you can solve any f(x,y), F(x,y) intersection(s).
Hope it helps ... Jean.
Solve Circle Line Intersect Normal.sm
Initialize wisely the third argument of roots(3)
Good! You tell me that there are two solutions. I agree! But in this case the roots(2) function should mention them as such. In addition, the other intersection has coordinates x=-6.72537 and y= 21.20924. As a result, I (as a technician with a specialty other than mathematics) am confused. I understand that the other solution, I have to enter it from the console, in the case of a complicated and automated calculation?! My request is that you show me another method of calculation, which will offer me a solution automatically applicable to the case in question. Automatically, meaning without my intervention from the console.
Previously explained.
Good! You tell me that there are two solutions.
This is why we have roots(3).
Solving without plotting is bad exercise.
You may have full, correct and single answers without guesses for some equations.
But sometimes you are gonna need to plot equations, find intersections and their coordinates.
If you determine good guess points, it will show you nearest results to that coordinates.
Regards
I was an engineer (currently retired) but I still have an intense activity related to my job. In engineering, although mathematics is a very useful tool (especially in engineering design), I cannot afford to waste time analyzing calculations. That's why I make any calculation from the beginning focused on the physical object of interest. That is precisely why I used an AutoCad-type program to sketch the geometric part, quoting in coordinates, instead of indicating the points of interest in a mathematical style. Admittedly, I haven't tried the roots(3) version. So I hope that the problem will be solved in this way. Thank you all at once.
Good! You tell me that there are two solutions. I agree! But in this case the roots(2) function should mention them as such.
Not in this case, because SMath's solve is a numerical procedure. You can demand that of maple's solve() or Maxima's Solve() .
In addition, the other intersection has coordinates x=-6.72537 and y=+21.20924.
Not that fast ... the values for x are +6.7253 and -21.2093.
My request is that you show me another method of calculation, which will offer me a solution automatically applicable to the case in question. Automatically, meaning without my intervention from the console.
Although I think that overlord's solution shows the correct solution, this other method does not require initial values, since it makes use of the knowledge that the solution implies a quadratic equation, assuming that the line M'N is not vertical .
Sophism.sm
Best regards.
Alvaro.
Not that fast ... the values for x are 6.7253 and -21.2093.
The form in which the result of the roots(2) request is presented is as in the attachment. I thought (!?!?!?) that the elements of the vector represent the results x and y, respectively.
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