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Version du 9 juin 2019 à 13:28
Projection Equal Earth. Image créée avec le logiciel de projection cartographique Geocart.
Distorsion la projection Equal Earth. Une couleur plus foncée signifie plus de distorsion. Indicatrice de Tissot à15 ° d'intervalle.
La projection Equal Earth est une projection cartographique pseudo-cylindrique à surface égale inventée par Bojan Šavrič, Bernhard Jenny et Tom Patterson en 2018. Elle s’inspire de la projection de Robinson largement utilisée, mais contrairement celle-ci, conserve la taille relative des zones. Les équations de projection sont simples à mettre en œuvre et rapides à évaluer[ 1] .
Formulation
La projection est formulée par les équations polynomiales :
Échec de l’analyse (erreur de syntaxe): {\displaystyle <mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><mtable displaystyle="true" rowspacing="3pt"><mtr><mtd><mi> <math> \begin{align} x &= \frac{2\sqrt{3}\, \lambda \cos{\theta}}{3\,(9\,A_4\,\theta^8 + 7\,A_3\,\theta^6 + 3\,A_2\,\theta^2 + A_1)} \\ y &= A_4\,\theta^9 + A_3\,\theta^7 + A_2\,\theta^3 + A_1\, \theta \end{align} }
</mi></mtd><mtd><mo>
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mrow><mn>
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></msqrt></mrow><mi>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><mrow class="MJX-TeXAtom-ORD"><mi>
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn><msub><mi>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><msup><mi>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msup><mo>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><msup><mi>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
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x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
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{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><mo stretchy="false">
x
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3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi></mtd><mtd><mo>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><msub><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><msup><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msup><mo>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><msub><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><msup><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msup><mo>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><msub><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><msup><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msup><mo>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mo><msub><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mn></mrow></msub><mi>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</mi></mtd></mtr></mtable></mrow></mstyle></mrow> </math>
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
x
=
2
3
λ
cos
θ
3
(
9
A
4
θ
8
+
7
A
3
θ
6
+
3
A
2
θ
2
+
A
1
)
y
=
A
4
θ
9
+
A
3
θ
7
+
A
2
θ
3
+
A
1
θ
{\displaystyle {\begin{aligned}x&={\frac {2{\sqrt {3}}\,\lambda \cos {\theta }}{3\,(9\,A_{4}\,\theta ^{8}+7\,A_{3}\,\theta ^{6}+3\,A_{2}\,\theta ^{2}+A_{1})}}\\y&=A_{4}\,\theta ^{9}+A_{3}\,\theta ^{7}+A_{2}\,\theta ^{3}+A_{1}\,\theta \end{aligned}}}
</img>
où
Échec de l’analyse (erreur de syntaxe): {\displaystyle <mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><mtable displaystyle="true" rowspacing="3pt"><mtr><mtd><mi> <math> \begin{align} &\sin{\theta} = \frac{\sqrt{3}}{2}\sin{\phi} \\ &A_1 = 1.340264,\ A_2 = -0.081106,\ A_3 = 0.000893,\ A_4 = 0.003796 \end{align} }
</mi><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mrow class="MJX-TeXAtom-ORD"><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi></mrow><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><msqrt><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></msqrt><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mfrac></mrow><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mrow class="MJX-TeXAtom-ORD"><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi></mrow></mtd></mtr><mtr><mtd><msub><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mrow></msub><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><msub><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mrow></msub><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><msub><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mrow></msub><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><msub><mi>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mi><mrow class="MJX-TeXAtom-ORD"><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mrow></msub><mo>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mo><mn>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</mn></mtd></mtr></mtable></mrow></mstyle></mrow> </math>
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
sin
θ
=
3
2
sin
ϕ
A
1
=
1.340264
,
A
2
=
−
0.081106
,
A
3
=
0.000893
,
A
4
=
0.003796
{\displaystyle {\begin{aligned}&\sin {\theta }={\frac {\sqrt {3}}{2}}\sin {\phi }\\&A_{1}=1.340264,\ A_{2}=-0.081106,\ A_{3}=0.000893,\ A_{4}=0.003796\end{aligned}}}
</img>
et Échec de l’analyse (erreur de syntaxe): {\displaystyle <mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi> <math>\varphi}
</mi></mstyle></mrow> </math>
φ
{\displaystyle \varphi }
φ
{\displaystyle \varphi }
</img> se réfère à la latitude et Échec de l’analyse (erreur de syntaxe): {\displaystyle <mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi> <math>\lambda}
</mi></mstyle></mrow> </math>
λ
{\displaystyle \lambda }
λ
{\displaystyle \lambda }
</img> à la longitude.
Caractéristiques
Les caractéristiques de la projection Equal Earth comprennent [ 2] :
Les côtés incurvés de la projection suggèrent la forme sphérique de la Terre.
Les parallèles droites facilitent la comparaison de la distance qui sépare les lieux nord et sud de l'équateur.
Les méridiens sont espacés régulièrement le long de n'importe quelle latitude.
Le logiciel permettant de réaliser la projection est facile à écrire et à exécuter efficacement.
Equal Earth comparé à des projections pseudocylindriques similaires à surface égale :Eckert IV, Wagner IV, Putniṇš P4 et Ekert VI
Développement
La projection Equal Earth a été créée par Bojan Šavrič, Tom Patterson et Bernhard Jenny, comme détaillé dans une publication de 2018 dans l' International Journal of Geographical Information Science . [ 1]
Selon les créateurs:
Nous l'avons créée pour offrir une alternative visuellement agréable à la projection Gall-Peters , que certaines écoles et organisations ont adoptée par souci d'équité. Elles ont besoin d'une carte du monde montrant les continents et les pays à leur vraie taille les uns par rapport aux autres. [ 2]
Utilisation
La première carte thématique connue publiée à l'aide de la projection Equal Earth est une carte de l'anomalie de la température mondiale moyenne pour juillet 2018, produite par le Goddard Institute for Space Studies de la NASA. [ 3]
Références
Liens externes