Basis Variable and Equations

1. Enter var-defined, var = P1Y 
  2c. deleting tuple (= P1 (TUPLE (X P1X) (Y P1Y)))
  2d. deleting eqn   (= P1X (X P1)) 
  2d. deleting eqn   (= P1Y (Y P1)) 
4. exit, vars (P1 P1Y) 
1. Enter var-defined, var = LENGTH 
4. exit, vars (LENGTH) 
1. Enter var-defined, var = THETA 
  2a. solved eqn     (= SLOPE (TAN THETA))
  2a. solved eqn     (= PHI (- (/ PI 2.0) THETA))
  2a. solved eqn     (= DELTAY (* LENGTH (SIN THETA)))
  2a. solved eqn     (= DELTAX (* LENGTH (COS THETA)))
  3.  repeating step 2.
  2a. solved eqn     (= DELTAY (- P2Y P1Y))
          giving     (= P2Y (+ DELTAY P1Y))
  2b. deleting eqn   (= SLOPE (/ DELTAY (FLOAT DELTAX))) 
  2b. deleting eqn   (= SLOPE (/ 1.0 (TAN PHI))) 
  2b. deleting eqn   (= LENGTH (SQRT (+ (EXPT DELTAX 2)
                                        (EXPT DELTAY 2)))) 
  2b. deleting eqn   (= THETA (ATAN DELTAY DELTAX)) 
  2b. deleting eqn   (= PHI (ATAN DELTAX DELTAY)) 
  2b. deleting eqn   (= DELTAY (* LENGTH (COS PHI))) 
  2b. deleting eqn   (= DELTAX (* LENGTH (SIN PHI))) 
  3.  repeating step 2.
  2c. deleting tuple (= P2 (TUPLE (X P2X) (Y P2Y)))
  2d. deleting eqn   (= P2X (X P2)) 
  2d. deleting eqn   (= P2Y (Y P2)) 
4. exit, vars (P2 P2Y DELTAX DELTAY PHI SLOPE THETA)
1. Enter var-defined, var = P2X 
  2a. solved eqn     (= DELTAX (- P2X P1X))
          giving     (= P1X (- P2X DELTAX))
  3.  repeating step 2.
4. exit, vars (P1X P2X)

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