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$A = \frac{g \cdot h}{2}$

$g = \frac{A\cdot 2}{ h}$

$h = \frac{A\cdot 2}{ g}$

$A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)$

$U = a+b+c$

$A = \frac{a^{2} }{4}\cdot \sqrt{3}$

$a = \sqrt{\frac{A\cdot 4}{\sqrt{3}}}$

$h = \frac{a}{2}\cdot \sqrt{3}$

$a = \frac{h\cdot 2}{\sqrt{3}}$

$A = \frac{a\cdot b}{ 2}$

$a = \frac{A \cdot 2}{ b}$

$b = \frac{A \cdot 2}{ a}$

$c =\sqrt{a^{2} + b^{2} }$

$a =\sqrt{c^{2} - b^{2} }$

$b =\sqrt{c^{2} - a^{2} }$

$h = \sqrt{p\cdot q}$

$q = \frac{h^{2} }{p}$

$p = \frac{h^{2} }{q}$

$a = \sqrt{c\cdot p}$

$c = \frac{a^{2} }{p}$

$p = \frac{a^{2} }{c}$

$A = \frac{a\cdot b}{ 2}$

$a = \frac{A \cdot 2}{ b}$

$b = \frac{A \cdot 2}{ a}$

$c =\sqrt{a^{2} + b^{2} }$

$a =\sqrt{c^{2} - b^{2} }$

$b =\sqrt{c^{2} - a^{2} }$

$h = \sqrt{p\cdot q}$

$q = \frac{h^{2} }{p}$

$p = \frac{h^{2} }{q}$

$a = \sqrt{c\cdot p}$

$c = \frac{a^{2} }{p}$

$p = \frac{a^{2} }{c}$

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$A = a^{2}$

$a = \sqrt{A}$

$U = 4\cdot a$

$a = \frac{U}{4}$

$d = a\cdot \sqrt{2}$

$a = \frac{d}{\sqrt{2}}$

$A = a\cdot b$

$a = \frac{A}{b}$

$b = \frac{A}{a}$

$U = 2\cdot a + 2\cdot b$

$a = \frac{U - 2\cdot b}{ 2}$

$b = \frac{U - 2\cdot a}{ 2}$

$d = \sqrt{a^{2} +b^{2} }$

$b = \sqrt{d^{2} -a^{2} }$

$a = \sqrt{d^{2} -b^{2} }$

$A = g\cdot h$

$g = \frac{A}{h}$

$h = \frac{A}{g}$

$A = \frac{1}{2}\cdot e\cdot f$

$e = \frac{2\cdot A}{ f}$

$f = \frac{2\cdot A}{ e}$

$A = \frac{1}{2}\cdot e\cdot f$

$e = \frac{2\cdot A}{ f}$

$f = \frac{2\cdot A}{ e}$

$A = \frac{a+c}{ 2}\cdot h$

$a = \frac{2\cdot A}{ h} - c$

$c = \frac{2\cdot A}{ h} - a$

$h = \frac{2\cdot A}{a+c}$

$A = \frac{a+c}{ 2}\cdot h$

$a = \frac{2\cdot A}{ h} - c$

$c = \frac{2\cdot A}{ h} - a$

$h = \frac{2\cdot A}{a+c}$

$A = \frac{a+c}{ 2}\cdot h$

$a = \frac{2\cdot A}{ h} - c$

$c = \frac{2\cdot A}{ h} - a$

$h = \frac{2\cdot A}{a+c}$

$A = \frac{3 \cdot a^{2} }{2}\cdot \sqrt{3}$

$a = \sqrt{\frac{A\cdot 2}{3 \cdot \sqrt{3}}}$

$\rho= \frac{a}{2}\cdot \sqrt{3}$

$a = \frac{\rho \cdot 2}{\sqrt{3}}$

$d= 2\cdot r$

$r= \frac{d}{2}$

$A = r^{2} \cdot \pi$

$r = \sqrt{\frac{A}{\pi }}$

$U = 2\cdot r\cdot \pi$

$r = \frac{ U}{2\cdot \pi }$

$A = \frac{r^{2} \cdot \pi \cdot \alpha }{ 360}$

$r = \sqrt{\frac{A\cdot 360}{\alpha \cdot \pi }}$

$\alpha = \frac{A\cdot 360}{r^{2} \cdot \pi }$

$b = \frac{2\cdot r\cdot \pi \cdot \alpha }{ 360}$

$r = \frac{b\cdot 360}{\alpha \cdot \pi \cdot 2}$

$\alpha = \frac{b\cdot 360}{r\cdot \pi \cdot 2}$

$A = \frac{r^{2} \cdot x }{ 2}$

$r = \sqrt{\frac{A\cdot 2}{x }}$

$x = \frac{A\cdot 2}{r^{2} }$

$b = r\cdot x$

$r = \frac{b}{x }$

$x = \frac{b}{r}$

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$A = (r_{a} ^{2} - r_{i} ^{2} )\cdot\pi$

$r_{a} = \sqrt{\frac{A}{\pi } + r_{i} ^{2} }$

$r_{i} = \sqrt{r_{a} ^{2} - \frac{A}{\pi } }$

$V = G\cdot h$

$G = \frac{V}{h}$

$h = \frac{V}{G}$

$O = 2\cdot G +M $

$G = \frac{O-M}{2}$

$M = O- 2\cdot G $

$V = a^{3}$

$a = ^{3} \sqrt{V}$

$O = 6\cdot a^{2}$

$a = \sqrt{\frac{O}{6}}$

$d = a\cdot \sqrt{3}$

$a = \frac{d}{\sqrt{3}}$

$V = a\cdot b\cdot c$

$a = \frac{ V}{b\cdot c}$

$b = \frac{ V}{a\cdot c}$

$c = \frac{ V}{b\cdot a}$

$O = 2\cdot (a\cdot b + a\cdot c + b\cdot c)$

$a = \frac{O-2\cdot b\cdot c}{2\cdot (b+c)}$

$b = \frac{O-2\cdot a\cdot c}{2\cdot (a+c)}$

$c = \frac{O-2\cdot b\cdot a}{2\cdot (b+a)}$

$d = \sqrt{a^{2} +b^{2} +c^{2} }$

$a = \sqrt{d^{2} -b^{2} -c^{2} }$

$b = \sqrt{d^{2} -a^{2} -c^{2} }$

$c = \sqrt{d^{2} -b^{2} -a^{2} }$

$V =\frac{1}{3} G\cdot h$

$G = \frac{3 \cdot V}{h}$

$h = \frac{3 \cdot V}{G}$

$O = G +M $

$G = O-M$

$M = O- G $

$\text{Rechteckige Pyramide}$

$\text{Quadratische Pyramide}$

$V = r^{2} \cdot \pi \cdot h$

$r = \sqrt{\frac{ V}{\pi \cdot h}}$

$h = \frac{ V}{r^{2} \cdot \pi }$

$O = 2\cdot r\cdot \pi \cdot (r+h)$

$r = 0,5\cdot (-h+\sqrt{h^{2} +\frac{O}{\pi }})$

$h = \frac{0-2\cdot \pi \cdot r^{2} }{ 2\cdot r\cdot \pi }$

$V = (r_{1} ^{2} - r_{2} ^{2} )\cdot \pi \cdot h$

$r_{1} = \sqrt{\frac{ V}{\pi \cdot h}+r_{2} ^{2} }$

$r_{2} = \sqrt{r_{1} ^{2} - \frac{ V}{\pi \cdot h}}$

$h = \frac{ V}{(r_{1} ^{2} - r_{2} ^{2} )\cdot \pi }$

$V = \frac{1}{3}\cdot r^{2} \cdot \pi \cdot h$

$r = \sqrt{\frac{3\cdot V}{\pi \cdot h}}$

$h = \frac{3\cdot V}{r^{2} \cdot \pi }$

$O = r\cdot \pi \cdot (r+s)$

$s = \frac{ O}{r\cdot \pi } - r$

$r = \frac{-\pi \cdot s + \sqrt{(\pi \cdot s)^{2} +4\cdot \pi \cdot O}}{ 2\cdot \pi }$

$M = r\cdot \pi \cdot s$

$s = \frac{ M}{r\cdot \pi }$

$r = \frac{ M}{s\cdot \pi }$

$s =\sqrt{h^{2} + r^{2} }$

$r =\sqrt{s^{2} - h^{2} }$

$h =\sqrt{s^{2} - r^{2} }$

$Kegelstumpf$

$V = \frac{4}{3}\cdot r^{3} \cdot \pi$

$r = ^{3} \sqrt{\frac{V\cdot 3}{4\cdot \pi }}$

$O = 4\cdot r^{2} \cdot \pi$

$r = \sqrt{\frac{ O}{\pi \cdot 4}}$

$\alpha = \frac{180}{ \pi} \cdot x$

$x = \frac{\pi }{180}\cdot \alpha $

$\sin \alpha - \cos \alpha - \tan \alpha $

$\sin \alpha = y $

$\cos \alpha = x $

$\tan \alpha = m $

$\sin \alpha - \cos \alpha - \tan \alpha $

$\sin \alpha = y $

$\cos \alpha = x $

$\tan \alpha = m $

$sin \alpha = \sqrt{1 - cos^{2} \alpha }$

$cos \alpha = \sqrt{1 - sin^{2} \alpha }$

$tan \alpha = \frac{sin \alpha }{cos \alpha }$

$sin \alpha = tan\alpha \cdot cos \alpha$

$cos \alpha = \frac{sin \alpha }{tan \alpha }$

$sin \alpha = \frac{a}{c}$

$a = sin \alpha \cdot c$

$c = \frac{ a}{sin\alpha }$

$cos \alpha = \frac{b}{c}$

$b = cos \alpha \cdot c$

$c = \frac{ b}{cos \alpha }$

$tan \alpha = \frac{a}{b}$

$a = tan \alpha \cdot b$

$b = \frac{ a}{tan\alpha }$

$a = \frac{b\cdot sin\alpha }{ sin\beta }$

$sin\alpha = \frac{a\cdot sin\beta }{ b}$

$a = \sqrt{b^{2} +c^{2} -2\cdot b\cdot c\cdot cos\alpha }$

$cos\alpha = \frac{b^{2} +c^{2} -a^{2} }{2\cdot b\cdot c}$

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