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But we know that projection plane is 2D plane where z-component is either zero or constant, so how is it possible projection plane intersects each coordinate axis? The projection plane is like the film / sensor of a camera. It can be in any orientation, not necessarily parallel to the (global) XY plane. So the projection plane can intersect all three axes ...

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This may be the easier way. Let's say you have a corner of an object at coordinates x,y,z of 2,3,3. You pic a corner randomly on your projection plane as the origin. Then you have the three-axis at 120-degree angles with the Z-axis being the vertical, X-axis going -30 from horizontal, and Y-axis at 210 degrees from the horizontal axis. then you transfer ...

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It might be easier to read first for axonometric projections, which are projections that the viewing plane is normal to the projections lines (i.e. the observer is at infinity) Figures: Axonometric projection source:Indian Insitute of Technology ) The isometric projection is a axonometric projection that all angles ($\alpha, \beta, \gamma$) are equal. More ...

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Mechanical Engineering uses physical properaties of materials & engineering physics to solve problems. The major elements are Materials, Thermal, Fluids, & Static and Dynamic Design & Analysis. Electrical and control is limited to basic circuits and the control of processes. Computer Engineering combines Electrical Engineering & Computer ...

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