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You are here: Home / Category Index / Linear Transformations / To Prove That Parallel Lines Are Conserved In Linear Transformation
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To Prove That Parallel Lines Are Conserved In Linear Transformation - By Antoin O Sluain
How to use this applet:The user must enter in two given lines and then check if they are parallel. If so then the user should enter in equations of transformation and the applet will calculate the transformation for you. Then check if the line are still parallel by pressing the relevent buttons. Notes on the maths used in the applet:The main formulae used where ones derrived myself. The main formula to give the transformation of any line according toa given set of equations:
[r(d/(da - bc)) + s(c/(cb - ad)]X +
[(-r(b/(da - bc)) - s(a/(cb - ad))]Y
+ const.(t) = 0
this formula applies if the line equation is:
rX + sY + t = 0
and if the given equations are:
X'= aX + bY
Y'= cX + bY
The only other maths is that of the slopes where I use the formula y = slope.x + c
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