## Toolbox

• {{:Construct a pentagon/nav}}
• {{:Construct a pentagon/eq|01}}
• {{varphi}}

## Math

If the math / LaTeX module is installed, these should display:

01 $\frac\mbox{NO + ND}\mbox{NO} = \frac\mbox{NO}\mbox{ND}$ 02 $\frac{\frac{s}{t} + \frac{t}{t}}{\frac{s}{t}} = \frac{s}{t}$ 03 $\frac{\varphi + 1}{\varphi} = \varphi$ 04 $\frac{s+t}{s} = \frac{s}{t}$ 05 $\varphi + 1 = \varphi^2$ 06 $\varphi^2 - \varphi - 1 = 0$ 07 ${ax}^2 - {bx} - {c} = 0$ 08 $x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$ 09 $x = \frac{-(-1) \pm \sqrt {(-1)^2-4(1)(-1)}}{2(1)}$ 10 $\varphi = {1 \pm \sqrt{5} \over 2}$ 11 $\varphi = {1 + \sqrt{5} \over 2} 12 [itex] \frac{\varphi}{\varphi} + \frac{1}{\varphi} = \varphi$ 13 $1 + \frac{1}{\varphi} = \varphi$ 14 $\frac{1}{\varphi} = \varphi - 1$ 15 $\mbox{DA}' = {g} = \frac{1}{\varphi} = \varphi - 1$ 16 $\mbox{MA}' = \sqrt {\left(\frac{1}{2}\right)^2 + (1)^2}$ 17 $\mbox{MA}' = \sqrt {\frac{1}{4} + 1} = \sqrt {\frac{5}{4}} = {\sqrt {5} \over \sqrt {4}}$ 18 $\mbox{MA}' = {\sqrt {5} \over {2}}$ 19 $\mbox{PA}' = {\sqrt {5} \over {2}} + \frac{1}{2} = {1 + \sqrt{5} \over 2}$ 20 $\mbox{QA}' = {\sqrt {5} \over {2}} - \frac{1}{2}$ 21 $\mbox{QA}' = {\sqrt {5} \over {2}} + \left(\frac{1}{2} - \frac{1}{2}\right) - \frac{1}{2}$ 22 $\mbox{QA}' = {1+\sqrt {5} \over {2}} - \frac{1}{2} - \frac{1}{2}$ 23 $\mbox{QA}' = {1+\sqrt {5} \over {2}} - 1$ 24 $\mbox{AB} = \sqrt {{5-\sqrt {5} \over {2}}}$