Quantum redactiones paginae "Eccentricitas" differant
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Notatio et aequationes |
Eccentricitas ellipsium |
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== Eccentricitas ellipsium ==
Si longitudinem [[axis semimaior|axis semimaioris]] ellipseos <math>a</math> et longitudinem [[axis semiminor|axis semiminoris]] ellipseos <math>b</math> habemus, definiamus:
{| class="wikitable"
! nomen !! symbolus !! aequatio ex <math>a</math> et <math>b</math> !! aequatio ex <math>\alpha</math>
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| '''[[Eccentricitas angularis]]''' || <math>\alpha</math> || <math>\arccos\left(\frac{b}{a}\right)</math> || <math>\alpha</math>
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| '''eccentricitas prima''' || <math>e\,</math> || <math>\sqrt{1-\frac{b^2}{a^2}}</math> || <math>\sin(\alpha)</math>
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| '''eccentricitas secunda''' || <math>e'\,</math> || <math>\sqrt{\frac{a^2}{b^2}-1}</math> || <math>\tan(\alpha)</math>
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| '''eccentricitas tertia''' || <math>e''=\sqrt m</math> || <math>\frac{\sqrt{a^2-b^2}}{\sqrt{a^2+b^2}}</math> || <math>\frac{\sin(\alpha)}{\sqrt{2-\sin^2(\alpha)}}</math>
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== Notae ==
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