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geometry - Coordinates of parallel triangle with a distance of 'd

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I have a triangle with Co-ordinates $\{(x_1,y_1),(x_2,y_2),(x_3,y_3)\}$. I need to find co-ordinates of a triangle,whose edges are exactly $\alpha$ distance from previous triangle. Below is the fig

The principles of projective geometry applied to the straight line and conic . ll meet u in a point W. The projection of this point W on the lineu is the

Introduction_to_coordinate_geometry

Introduction_to_coordinate_geometry

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