How to retrieve the position of a row inside a table with garbage data in all cloumns?

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hello_world();

in fact.. how to goTo next/previous row of a table without using
incremental ids AND without reading the whole table?
i will explain:
I wanna do something like a paging toolbar blinded to a list of rows
(for example, a literally view of a db table).
The first difference from a normal paging system, is that i wanna show
only one row per page, and luckily i know the id of that first viewed
row; so, no problem until here. Im able to show the first row xD.
The second difference is that i don't know the position of the first
viewed row inside the whole original table, only the id of the row
(maybe someone is laughing while reading 'only').

I would like to know the position of that row to allow a easy goTo
next/prev method using LIMIT/OFFSET sql clauses.
But, since id's aren't incremental, and since i don't know the position
of that row, i cant find any way to know witch row is the next/prev.

I found a few solutions and it is poorly working now, reading the whole
table and thats all :o].
The front-end of the app, is not robust enough to fast-process this
amount of data (javascript), so this solution is a piece of ____.

I'm missing something?
How to retrieve the position of a row in a given table (always ordered
by ASC id) without reading more than one result per query using -only-
raw id's?

Thanks for your time.
Trullo :o]

P.S. Im using php526/mysql5051b but a generic answer is highly appreciated.

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