Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 8x2 − 14xy + 8y2 − 42 = 0   Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter8: Computer Numerical Control
Section8.3: Cnc Turning: Programming
Problem 1RQ: Write the X- and Z-axis coordinates for the part show n. Use the diametral method in the X-axis.
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Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation.

8x2 − 14xy + 8y2 − 42 = 0
 
Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)
 
 
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