Looking through an eyepiece, the sky will take on a different orientation depending on which telescope you use.
Through some telescopes, night sky objects will appear to be upside down, back to front or both at the same time. Add the often confusing equatorial mount movement and tilt, and you'd be forgiven for thinking something was wrong.
Each telescope design has a different optical configuration and that these different systems produce different views of the skies. With time you get used to the way your telescopes optics work just like you get used to your reflection in the mirror, or using a rear-view mirror in the car. In these cases our brains reverse the images without a second thought, and a telescope is no different.
Despite the fact that there is no "up" in astronomy, after all what is up in the northern hemisphere, is down in the southern hemisphere, it if often comforting to correct things to what you are accustomed to. Not only does it bring objects back to their familiar orientation, it also makes reading star charts and star hopping easier - when you are trying to star hop to a faint target under the glow of a red torch, revered images can be trying.
The difference in orientation is a consequence of how the light is brought to focus be each telescope design.
In general, if your telescope has an even number of elements - such as a Newtonian reflector your target will appear up side down. If it has an odd number, such as a Nasmyth-Coude with it's three mirror configuration, the image is reversed left to right. A simple refracting telescope produces an up side down view.
These also reflect light through 90° but they use prisms. They are sometimes sold with telescopes, but are much more useful for terrestrial observation as the extra glass they contain dims the view of faint starlight.
Remember that when adding extra equipment between your telescope and your eye or camera, the more degraded the image will become. You will loose light as optics will scatter some away, and you may will introduce aberrations to the image.
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