As there are 10 of them, I will split these poems by chapter they appear in. I'm not certain if every poem has to be zoomed on using "z" to count towards the achievement (The game will play a short ambient sound when you do or either look at it long enough I think).
INTERLOPER#1 - At the end of the chapter, after you go through the two doors with exit signs
, the first poem will be visible on your left.
DEAD TENANT#2 - After clearing the rebel camp, go to the door by which you progress, but instead of going straight and turning left by the turret, immediately turn right. The poem will be easily visible at the back wall of the storage room, with a few medkits on the shelves to heal you up if you aren't full health.
#3 - Not long after, during the fight sequence with rebels, go into a room to the right of the rebel hiding behind two boxes with an explosive barrel. The poem will be lit up by the light shining through the boarded window.
LOW#4 - The 4th poem can be seen on the right wall, after you enter the door you just opened with a lever in the office. It can be easily missed as it is on the bottom of the wall.
#5 - Near the end of the stalker section, after you regain your nightvision, go back to the gate which the stalker opened for you, cross the rails, and turn right. The poem will be on the wall to the right of the electric box.
#6 - The final poem in this chapter will be right before boarding the train to pillar 10. After going down the stairs with the Breen statue in front of them, instead of turning right - towards the train, turn left and look to the left of the closed doors.
BAD COP#7 - Right at the beggining, after completing that weird button puzzle, destroying the blue light and entering the room with a stalker, go the right wall of the room (with the combine symbol high up) and turn right. The poem will be in front of you. (in case you miss it, it's under a pair of prisoner pods if that helps).
#8 -Once you scare it away (
), progressing to the next room you will find a vaccination station. Once you leave it the poem will be to the right of the room you just came from.
#9 - In the room where you face off against it (
), the poem can be found on the wall where the door you entered through is, to the left of it (looking at the wall after going up with the elevator).
#10 - The final poem can be found after defeating the two enemies (
). Just go up to the end of the hallway and standing in front of the burning thingy, turn around. It will be on your left.
The guide was made using my own experiences and a video from "VashackX":