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Apparently lets say hypothetically two similar parallelograms

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File: geometry.jpg (68KB, 400x346px) Image search: [Google]
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Apparently lets say hypothetically two similar parallelograms have a property that works for them if the sides of the parallelogram has the same ratio as the other parallelogram's corresponding sides compounded with another ratio. Does this property still work with the triangles, the halves of the parallelograms, if the hypotenuse and one side of the triangle have the same ratio to the other similar ratio compounded with the aforesaid ratio?

I mean, the hypotenuse is essentially the diagonal of the parallelogram, so I could see how it might still apply. I just don't really see how you could apply something that works with parallelogram's sides to the hypotenuse and base of the corresponding triangles that are the halves of the parallelograms.
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File: Screenshot_20170124-195744.png (2MB, 1440x2560px) Image search: [Google]
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Authisctic sketch nr 1
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>>8629397
And topology of sketch
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Does anyone know if I.34 of On Conics' technical inverse works? That if the ratio (the Nicomachean harmonic ratio) is necessarily true for all tangents that meet the diameter?
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File: Screenshot_20170125-162301.jpg (277KB, 1374x898px) Image search: [Google]
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>>8629431

I did some editting on a graph taken from cern. See how all lines rotate around the path of a particle?
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>>8629431
I.36 answers this question.
>>8629606
congratulations, looks real fancy
Thread posts: 6
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