## Question

###### Provide the missing betweenness arguments to complete Euclid's proof of ( 1.7 ) in the case he considers. Namely, assuming that the ray $\overrightarrow{A D}$ is in the interior of the angle $\angle C A B,$ and assuming that $D$ is outside the triangle $A B C,$ prove that $\overrightarrow{C B}$ is in the interior of the angle $\angle A C D$ and $\overrightarrow{D A}$ is in the interior of the angle $\angle C D B$ (FIGURE CAN'T COPY)

Provide the missing betweenness arguments to complete Euclid's proof of ( 1.7 ) in the case he considers. Namely, assuming that the ray $\overrightarrow{A D}$ is in the interior of the angle $\angle C A B,$ and assuming that $D$ is outside the triangle $A B C,$ prove that $\overrightarrow{C B}$ is in the interior of the angle $\angle A C D$ and $\overrightarrow{D A}$ is in the interior of the angle $\angle C D B$ (FIGURE CAN'T COPY)

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