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Results tagged with ag.algebraic-geometry
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user 21743
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
2
votes
Impossible Heronian Triangles (Ratio of 2 Sides)
I did some calculations this morning on the elliptic curve
$W^2=Z(Z-m^2)(Z-n^2)$
I have several codes in Ubasic or Pari which use the Birch & Swinnerton-Dyer conjecture to predict ranks.
For $1 \l …
- 276
10
votes
Accepted
Impossible Heronian Triangles (Ratio of 2 Sides)
Suppose the ratio is called $k$, and let the sides be $g, kg, h$, with the angle between sides $g$ and $kg$ called $A$, with all these variables rational.
Then $\Delta = \frac{1}{2}kg^2 \sin A$, so i …
- 276