Tagged Questions

For questions about geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, angles.

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Hippocrates trapezoid lune

How can I prove that a lune based on the construction of a constructible isosceles is quadrable? Hippocrates' other squarable lune
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Reading a 3d graph to generate a 2d projection.

I know this will sound very dum but I have spent some good time trying to understand before posting this question. Basically, I need some help in understanding how (a) and (b) are being used to ...
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Calculating fov angle based on distance

I'm trying to calculate the angle between me and the target angle yaw in a 3D game, so that the actual angle is always the same based on distance how far I am from the target. I've tried a few ...
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number of rectangles in two superimposed grids

I got two grids consisting of square "pixels", each has a different unit length per pixel though, 1 and $\frac1\xi$. Now I superimpose them as in the following image. The grid sizes differ, as ...
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Grid with both squares and equilateral triangles

Is it possible to have a grid that contains both squares and equilateral triangles? By grid I mean any set of the form $M \mathbb Z^2$, with $M \in GL_2\mathbb R$. I think this is impossible, ...
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Transitive parallel lines in noneuclidean-geometry

Is it true in neutral geometry that "If a line $m$ parallel to to a line $\ell$ , and line $\ell$ parallel to line $n$ then $m$ parallel to line $n$"? ' where $m\ne n$ I think that this is corrent, ...
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Finding the gradient vector of a plane along the plane's surface

How do you find the gradient vector of a plane? I have a plane that passes through the origin with the equation P: 5x + 95y + 46z = 0 whose normal ...
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Checking nature of angles of a triangle given the equations of the three lines that form a triangle

Suppose we have three lines $\ell_i=a_ix+b_iy=c_i$, $i=1,2,3$ and we are given that they form a triangle. I need to find which angles are acute and which are obtuse without plotting the lines ...
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Radius of inner circles given radius of outer circle and number of inner circles in circular fractal

I am trying to create a circular fractal in which each circle is composed by a given number $n$ of smaller circles. It would look something like this for $n = 8$: However, I don't know how to ...
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Finding the overlap between direction of distance in position space and direction of distance in velocity space

There are two objects A and B that can be described in position space and velocity space. The position space describes the instantaneous positions of the objects while the velocity space describes ...
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Finding ratio of cevian lines

I am preparing for an exam and doing some pratice problems. So I'm having a difficult time with this problem. At first I thought the ratio was 2:1 and then I also thought I would be able to use the ...
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Proving the concurrency of angle bisectors in a triangle analytically

I'm taking a course at teaching and we have some geometry questions. Among the questions there was one I couldn't solve. I'm trying to prove that angle bisectors in a triangle intersect at a single ...
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Average distance between two points in a bounded region [duplicate]

How to construct the integral in calculating the average distance between two random points inside a square? Is this the same as asking the average length of all the possible line segments which can ...
Show that, if $u,v,w$ are orthogonal two-by-two, then $S = \{ u , v , w\}$ forms a basis which is linearly independent
I am given the following question: Show that, if $u,v,w$ are orthogonal two-by-two, then $S = \{ u , v , w\}$ forms a basis which is linearly independent. My idea to tackle this problem is to ...