This problem refers specifically to http://books.google.com/books?id=W9...ss components on an arbitrary plane"&f=false".(adsbygoogle = window.adsbygoogle || []).push({});

The text comments that Area BOC = Projection of area ABC on the yz plane, and that this equals the area of ABC times the direction cosine in the x-direction of the normal vector to the plane, and so on for the other faces.

Similarly, http://books.google.com/books?id=Gl...ss components on an arbitrary plane"&f=false" states that "it can be seen" that the ratio of areas A_{x}/A = n_{x}, etc.

I'm looking for a mathematical verification that this is true. Most likely because it is a math issue, the authors deemed the explanation unecessary in a solid mechanics text. My linear algebra background is pretty weak, so you may need to include some fundamentals in order for me to follow.

Thanks in advance.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Projection of area onto a plane

Loading...

Similar Threads - Projection area onto | Date |
---|---|

I Question about the Divisor Function/Sums and Project Euler | Feb 16, 2018 |

B Ellipse tangent line using projections | Nov 19, 2017 |

B Hidden Figures school project | Apr 6, 2017 |

B Creating Equation Based on Data Set of x,y Values | Nov 15, 2016 |

Project 251A: calculating area of dynamic shapes | Aug 21, 2006 |

**Physics Forums - The Fusion of Science and Community**