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Charles Link's latest activity
Charles Link
replied to the thread
I
Geometry problem of interest with a 3-4-5 triangle
.
@bob012345 ok, but try making the ratio of horizontal and vertical lines with spacing 1,root 2,1 and connecting the points on the sides...
Aug 14, 2025
Charles Link
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bob012345's post
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Geometry problem of interest with a 3-4-5 triangle
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Here is a simple drawing of the regular octagon within the square. If the square has corners at (±1,±1), the outside points are root(2)...
Aug 14, 2025
Charles Link
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TensorCalculus's post
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Venus and Jupiter Conjunction
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Oh, thanks! That's really helpful!
Aug 14, 2025
Charles Link
replied to the thread
I
Geometry problem of interest with a 3-4-5 triangle
.
@Gavran It helps to go back to the diagrams of post 23 to see this, (for the 3-4-5 case), because the results are not displayed nearly...
Aug 14, 2025
Charles Link
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Gavran's post
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Geometry problem of interest with a 3-4-5 triangle
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Both octagrams in the post #28 are irregular octagrams and the first one has an irregular octagon in the centre while the second one has...
Aug 14, 2025
Charles Link
replied to the thread
I
Geometry problem of interest with a 3-4-5 triangle
.
Unless someone can come up with a better procedure, I think it is ok to measure the spacing of 1,root 2, and 1 to generate the regular...
Aug 14, 2025
Charles Link
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bob012345's post
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Geometry problem of interest with a 3-4-5 triangle
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I was looking at how to make a regular octagon in the spirit of the OP but it’s difficult to construct the ratio you mentioned without...
Aug 13, 2025
Charles Link
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I
Geometry problem of interest with a 3-4-5 triangle
.
@Gavran On the video of post 28, they missed the boat I think when they tried to do the regular octagon. I sketched it myself at...
Aug 13, 2025
Charles Link
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Geometry problem of interest with a 3-4-5 triangle
.
as mentioned in the OP, ## \tan(\theta-\phi)=\frac{\tan(\theta)-\tan(\phi)}{1+\tan(\theta) \tan(\phi)} ## makes it very easy to compute...
Aug 13, 2025
Charles Link
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Gavran's post
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Geometry problem of interest with a 3-4-5 triangle
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The polygon is an isotoxal octagram. The source: https://en.wikipedia.org/wiki/Octagram. There is an interesting video which shows a...
Aug 13, 2025
Charles Link
replied to the thread
B
Venus and Jupiter Conjunction
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I saw the two "stars" out my window in the morning about two weeks ago when they were somewhat further apart. I guessed it might be...
Aug 13, 2025
Charles Link
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B
Venus and Jupiter Conjunction
in
Astronomy and Astrophysics
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Today at about 4:30 am I saw the conjunction of Venus and Jupiter, where they were about the width of the full moon, or one half degree...
Aug 12, 2025
Charles Link
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Geometry problem of interest with a 3-4-5 triangle
.
From symmetry, it is readily seen that the sides come in 4 identical pairs. The angle between the two sides in each pair is not 135...
Aug 11, 2025
Charles Link
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The edges are the same lengths but parallel edges are skewed wrt each other, they are parallelograms not rectangles.
Aug 11, 2025
Charles Link
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SammyS's post
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Geometry problem of interest with a 3-4-5 triangle
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Of course, those angles are in degrees and are rounded to the nearest degree.
Aug 11, 2025
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