Recent content by grimTesseract

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    Reduced equation of quadratic forms

    Homework Statement Given the following quadric surfaces: 1. Classify the quadric surface. 2. Find its reduced equation. 3. Find the equation of the axes on which it takes its reduced form. Homework Equations The quadric surfaces are: (1) ##3x^2 + 3y^2 + 3z^2 - 2xz + 2\sqrt{2}(x+z)-2 = 0 ##...
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    Angles inscribed in circles part 1

    I will reply with my attempt at the rest of the problem shortly, but regarding the similarity of triangles BHO and BCA: H and C are both on the same line, as A and O are on the parallel. Is this enough to prove that the triangles share two angles and must thus be similar?
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    Angles inscribed in circles part 1

    I understand! So the adjacent angle to the exterior angle I'm given must be 180 - 105 = 75, and the other two must be 105/2 = 52.5. Thus a must be 52.5 + 75 = 127.5
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    Angles inscribed in circles part 1

    Homework Statement OK, I am new to these kinds of problems and I am trying to learn the appropriate properties but they are proving somewhat difficult for me... I hope I am going in the right direction. Homework Equations [/B] The first problem corresponds to the figure with 'Rep' in the...