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Diffstat (limited to 'index.html')
| -rw-r--r-- | index.html | 20 |
1 files changed, 19 insertions, 1 deletions
@@ -93,6 +93,7 @@ </section> <section> <div id="iterationCtr"></div> + <div id="flaecheErg"></div> <div class="flexContainer"> <canvas id="koch"></canvas> </div> @@ -157,7 +158,24 @@ </div> </section> <section> - <p>\[ \frac{2s^2\sqrt{3}}{5} \]</p> + <p class="fragment fade-in"> + Jedes neue Dreieck hat \( \frac{1}{9} \) des vorherigen Flächeninhalts + </p> + <p class="fragment fade-in">\[ N_n = 4^n \]</p> + <p class="fragment fade-in">\[ \triangle_n = \left(\frac{1}{9}\right)^n \]</p> + <p class="fragment fade-in"> + \[ \Delta A_n = 4^{n-1} \cdot \left(\frac{1}{9}\right)^{n - 1} = + \left(\frac{4}{9}\right)^{n-1} \] + </p> + </section> + <section> + <p>\[ A_n = \sum_{k=0}^{n} \left(\frac{4}{9}\right)^k \]</p> + </section> + <section> + <p>\[ A = \sum_{n=0}^{\infty} \left(\frac{4}{9}\right)^n \]</p> + <p class="fragment fade-in"> + \[ = \frac{1}{1 - \frac{4}{9}} = \frac{9}{5} = \underline{\underline{1,8}} \] + </p> </section> </section> |