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The horizontal (left-right) dimension is called longitude. The vertical (top-bottom) is called latitude. However, I'm not sure how to adjectivize and adverbize those terms.

The best shot expressing the meaning I can think of is "latitude-wise" for the vertical case. Here, I have two questions.

Is there a more sophisticated term for that? And if not...

What is the most recommended way to express the work-around of mine?
a. latitude-wise
b. latitudewise
c. latitude wise
d. latidudelly
e. lati-what-ever-else-combo-might-be-conceiveable

Of course, the same wonderings go for the horizontal dimension, i.e. "longitude-wise". However, I'd be strongly surprised if it differed in principle from the vertical one.

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    General Reference - longitudinal, latitudinal. No reason why you can't append -ly to either.
    – FumbleFingers
    Commented Dec 29, 2013 at 19:07
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    It depends on what you're talking about. See Fillmore's lecture on Space.
    – John Lawler
    Commented Dec 29, 2013 at 19:07
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    Certainly, but even 2-D maps have overlays (thus becoming 2½-D); and it is not a given that Top on the map is North on the territory mapped, nor that parallels and meridians are consistently marked or even useful.
    – John Lawler
    Commented Dec 29, 2013 at 19:30
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    Why, thank you. Nitpickiness is one of the things linguists are trained for -- in order to find the boundaries of a phenomenon and describe it accurately -- and after 50 years or so it's hard to avoid the instinct.
    – John Lawler
    Commented Dec 29, 2013 at 19:41
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    @JohnLawler I feel that I need to emphasize that, although the term "nit-pick" is generally regarded derogatory, I use it as one of the best qualities one can exhibit when discussing facts and hard issues. In my view, most of the problems in relations between people don't occur due to the difference of views but the failure to express and/or perceive the likeness of these. I meant that as a compliment (throwing in the towel, so to speak). It's hats off for you, friend. Hats off and thrown latidudinally!
    – Konrad Viltersten
    Commented Dec 29, 2013 at 19:45

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First off, you have the terms reversed: latitude is a horizontal line and longitude is a vertical line.

As far as using them as adjectives and adverbs:

latitudinal (adj), latitudinally (adv)

longitudinal (adj), longitudinally (adv)

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    Wikipedia seems to disagree with your first statement. :) (Or, rather, the statement itself is correct down to the bones but the vertical direction on the map is equivalent to moving accross the latitudes, meaning that it's the latitudinal movement that takes you to the poles.)
    – Konrad Viltersten
    Commented Dec 29, 2013 at 19:25
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    I just realized a horrible, logical-excrement. While latitude is, as you very correctly pointed out, a horizontal entity, the latitudinal movement is very much a vertical occurrence. It'd be much more convenient if I was a sloppy, dumb individual unconcerned with exactness of the linguistic weirdifications. Then again, I'm a math post-grad. :)
    – Konrad Viltersten
    Commented Dec 29, 2013 at 19:28

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