Question Number 98728 by Tinku Tara last updated on 15/Jun/20
$$\mathrm{Currently}\:\mathrm{working}\:\mathrm{on}\:\mathrm{enhancing} \\ $$$$\mathrm{this}\:\mathrm{app}\:\mathrm{to}\:\mathrm{draw}\:\mathrm{shapes}. \\ $$$$\mathrm{So}\:\mathrm{posting}\:\mathrm{a}\:\:\mathrm{math}\:\mathrm{problem}\:\mathrm{realted} \\ $$$$\mathrm{to}\:\mathrm{drawing}\bar {.} \\ $$$$\mathrm{Ref}.\:\mathrm{Frame1}\:\mathrm{X}-\mathrm{Y} \\ $$$$\mathrm{Frame}\:\mathrm{2}: \\ $$$$\mathrm{Axis}\:\mathrm{translated}\:\mathrm{by}\:\left({h},{k}\right)\:\mathrm{and} \\ $$$$\mathrm{rotated}\:\mathrm{about}\:\mathrm{point}\:\left({u},{v}\right). \\ $$$$\mathrm{Consider}\:\mathrm{a}\:\mathrm{point}\:\left({x}_{\mathrm{1}} ,{y}_{\mathrm{1}} \right)\:\mathrm{on}\:\mathrm{X}−\mathrm{Y}\:\mathrm{axis}. \\ $$$$\mathrm{1}.\:\mathrm{What}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{postion}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{point}\:\mathrm{on}\:\mathrm{X}−\mathrm{Y}\:\mathrm{axis}\:\mathrm{after}\:\mathrm{it}\:\mathrm{is} \\ $$$$\mathrm{translated}\:\mathrm{and}\:\mathrm{plotted}\:\mathrm{in}\:\mathrm{frame}\:\mathrm{2}. \\ $$$$\mathrm{2}.\:\mathrm{A}\:\mathrm{point}\:\mathrm{is}\:\mathrm{moved}\:\mathrm{by}\:\mathrm{distance} \\ $$$${dx},{dy}\:\mathrm{in}\:\mathrm{X}−\mathrm{Y}.\:\mathrm{How}\:\mathrm{much}\:\mathrm{distane} \\ $$$$\mathrm{will}\:\mathrm{it}\:\mathrm{moved}\:\mathrm{in}\:\mathrm{the}\:\mathrm{new}\:\mathrm{frame}. \\ $$
Commented by Tinku Tara last updated on 15/Jun/20
$$\mathrm{A}\:\mathrm{more}\:\mathrm{difficult}\:\mathrm{problem}: \\ $$$$\mathrm{What}\:\mathrm{will}\:\mathrm{the}\:\mathrm{postion}\:\mathrm{of}\:\mathrm{3D}\:\mathrm{point} \\ $$$$\left({x},{y},{z}\right)\:\mathrm{in}\:\mathrm{in}\:\mathrm{2D}\:\mathrm{plane}\:\mathrm{when}\:\mathrm{viewed} \\ $$$$\mathrm{by}\:\mathrm{a}\:\mathrm{point}\:\mathrm{observer}\:\mathrm{at}\:\left({a},{b},{c}\right). \\ $$
Commented by Tinku Tara last updated on 15/Jun/20
From software implementation point of view libraries do this computation internally.
Commented by MWSuSon last updated on 15/Jun/20
That will be wonderful sir.��
Commented by niroj last updated on 15/Jun/20
it's better Tinku tara if you make 2D shape for geometric shape , diagrams ,pie charts , triangle in high resulation edited and data collection like statistics table, more set notation or curve tracing map etc. ..
Commented by Tinku Tara last updated on 15/Jun/20
The post was meant to be a geometry question.��