Editing Homothety (section)

==== using the intercept theorem ====
If for a homothety with center <math>S</math> the image <math>Q_1</math> of a point <math>P_1</math> is given (see diagram) then the image <math>Q_2</math> of a second point <math>P_2</math>, which lies not on line <math>SP_1</math>  can be constructed graphically using the intercept theorem: <math>Q_2</math> is the common point th two lines <math>\overline{P_1P_2}</math> and <math>\overline{SP_2}</math>. The image of a point collinear with <math>P_1,Q_1</math> can be determined using <math>P_2,Q_2</math>.

[[File:Pantograph animation.gif|thumb|Pantograph]]
[[File:Pantograf-konstr-e.svg|thumb|upright=1.2|Geometrical background]]
[[File:Pantograph01.jpg|thumb|Pantograph 3d rendering]]