![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGkiHNCWtRb3XaaqzVTMrGvzDkH859EgNofX4b0FuKpKz56Cs-o2_b3_hrGqv3NGFcdw4ROfXm-w3bhRJj6bMoRIzIaylcQujZupj3XQuBKZwO-MTQOSfMv-Nne1QJCSsFZu5cM-7edHsb/s1600/bf1.png)
The butterfly problem
In the previous post, we show a simple proof of the butterfly problem by using Pascal's hexagon theorem. Today, we will list a few more proofs. These proofs will be presented in the form of exercises so that interested readers can brush up on their problem-solving skills .
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiGkiHNCWtRb3XaaqzVTMrGvzDkH859EgNofX4b0FuKpKz56Cs-o2_b3_hrGqv3NGFcdw4ROfXm-w3bhRJj6bMoRIzIaylcQujZupj3XQuBKZwO-MTQOSfMv-Nne1QJCSsFZu5cM-7edHsb/s1600/bf1.png)
Pascal's butterfly
Today we will present a beautiful union between Pascal's hexagon theorem and the butterfly theorem.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX8_R_rF6-Zvu4plUrq8GDzzkAz7xHqeYYG51RA19r_OgU898YUmL-BrEeiM8m7p9Isyb3djwxidw1hb1YYilrkC8Sf1D7BUGPKnpY0723xQVrT_mC6XgeiDTdoglo8-MG0HG7AioRT8pQ/s1600/pascal3.jpg)
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