The phrase "a kind of horizontal" is correct and usable in written English.
It can be used when describing something that resembles or is similar to a horizontal orientation or position.
Example: "The design features a kind of horizontal alignment that enhances the overall aesthetic of the room."
Alternatives: "a type of horizontal" or "a sort of horizontal".
"When you look back to the 1990s we had a kind of horizontal homogeneity.
A kind of horizontal Eiffel Tower, suspended over existing urban development, the project was both superstructure and infrastructure.
After the big race a parade of wobbling legs made their final trek to the train station, supporting each other in a kind of horizontal conga line.
The distance between me and my friends opened up into what seemed like miles; I experienced a kind of horizontal vertigo.
One goes through life in a kind of horizontal haze; the other is as upright and nagging as her own remorseless self-examination.
It is the vast plain and bleak open space that matches the emotional landscape of Lear: a kind of horizontal abyss that opens up as if due to a shifting of tectonic plates.
I can't see a lot of skew, but then again, it looks as if the creators went out of their way to avoid situations where skew would be evident (basically, any kind of horizontal movement).
When the frost ultimately retreats, in a warm rain or under a hot sun come spring, it will retreat with a load of subterranean stone in its grasp, creating a kind of thin, horizontal moraine across the pasture, and yet it will leave the beetle grubs where they lie.
Jean-Jacques Daniel Dony built a different kind of horizontal zinc smelter in Belgium, which processed even more zinc.
But even with their warts, they are providing Iraqis a forum for the kind of horizontal conversation -- between Sunnis, Shiites, Turkmen, Christians and Kurds -- that Saddam never allowed and must happen for any Iraqi democracy to have a solid base.
This new base of customers — workers from Oklahoma, Texas and other parts of the country with long experience in drilling natural gas wells — are drawn to the region by jobs just across the state border in rural Pennsylvania, where a kind of drilling known as horizontal hydraulic fracturing, or hydrofracking, has vastly expanded over the last two years.
