Edits to “Statement”, “Solution”, “Answer”
en/13.1.8.md
+4 −4
| @@ -1,13 +1,13 @@ | |||
| ### Statement | |||
| − | $13.1.8.$ [Insert the problem statement] | ||
| + | $13.1.8.$ Construct an image of the object in a dihedral mirror with an angle at the vertex of $90^\circ$. How does this image differ from the image in a flat mirror? The mirror is located in the corner of the room. From what points in the room can you see your image? | ||
| ### Solution | |||
| − |  | ||
| − | While there are images created by a single reflection at each mirror, we are interested in the image created by two consecutive reflections at both mirrors. An observer at $A$ can see such image of point $B$ at $B''$, while an observer at $B$ can see such image of point $A$ at $A''$. | ||
| + | While there are images created by a single reflection at each mirror, we are interested in the image created by two consecutive reflections at both mirrors. An observer at $A$ can see such an image of point $B$ at $B\,''$, while an observer at $B$ can see such an image of point $A$ at $A''$. Such images can be observed from anywhere in a rectangular room. Unlike the images created by a single reflection (such as those at $A'$ and $B\,'$, the image created by two consecutive reflections are not inverted (or doubly inverted). Note that the image of point $A$ at $A^*$ is not observable by the observer at $B$, but may be observed from other positions. | ||
| #### Answer | |||
| − | [Insert a concise answer or boxed result] | ||
| + | See the solution. | ||
| @@ -1,13 +1,13 @@ | |||
| ### Statement | ### Statement | ||
| $13.1.8.$ [Insert the problem statement] | $13.1.8.$ Construct an image of the object in a dihedral mirror with an angle at the vertex of $90^\circ$. How does this image differ from the image in a flat mirror? The mirror is located in the corner of the room. From what points in the room can you see your image? | ||
| ### Solution | ### Solution | ||
|  | ||
| While there are images created by a single reflection at each mirror, we are interested in the image created by two consecutive reflections at both mirrors. An observer at $A$ can see such image of point $B$ at $B''$, while an observer at $B$ can see such image of point $A$ at $A''$. |
While there are images created by a single reflection at each mirror, we are interested in the image created by two consecutive reflections at both mirrors. An observer at $A$ can see such an image of point $B$ at $B\,''$, while an observer at $B$ can see such an image of point $A$ at $A''$. Such images can be observed from anywhere in a rectangular room. Unlike the images created by a single reflection (such as those at $A'$ and $B\,'$, the image created by two consecutive reflections are not inverted (or doubly inverted). Note that the image of point $A$ at $A^*$ is not observable by the observer at $B$, but may be observed from other positions. | ||
| #### Answer | #### Answer | ||
| [Insert a concise answer or boxed result] | See the solution. | ||