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Q: What does delta s is less than zero?
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Can you factor s2-4s plus 6?

No because its discriminant is less than zero


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What is delta S in the equation delta G delta H - T delta S?

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If t less than s and s less than r what is the relationship between the values t and r?

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What is Proposition 1.8 of Metrica?

In accordance with WolframAlpha: "Heron's Theorem "The area (delta) of a triangle with side lengths a, b and c and semiperimeter s is given by (delta) = sqrt(s * (s-a) *(s-b) * (s-c)) ... Proof source: Heron of Alexandria. Proposition 1.8 in Metrica. Ca. 60 A.D." So Proposition 1.8 of Metrica is the well known Heron's Formula for finding the area of a triangle given its sides.