The phrase "a steady eye" is correct and usable in written English.
It can be used to describe someone who is focused, attentive, or calm in a situation that requires careful observation or precision.
Example: "To succeed in archery, you need a steady eye and a calm demeanor."
Alternatives: "a focused gaze" or "a calm eye."
With great precision and a steady eye, Ms. Sears paints circles around most of her contemporaries, who dare to cover such Surreal, historically laden ground.
Mr. Gilroy directs with a steady hand and a steady eye, too, with none of the visual frenzy that characterizes the "Bourne" thrillers.
In the work's black-and-white film, the camera keeps a steady eye on boulders in a quarry, as if monitoring the stately march of geologic time.
Rather, the director, Laurent Cantet — using a small team and three high-definition video cameras — keeps a steady eye on the children, these anxious, maddening little people flailing and sometimes stalling on the entryway to adulthood.
On this captivating quartet recording, he establishes a lock-tight rapport with his energetic rhythm section and a cognitive interaction with the alto saxophonist Rudresh Mahanthappa, another talent to keep a steady eye on.
I think that no idea is so outlandish that it should not be considered and viewed with a searching, but at the same time, I hope, with a steady eye.
In Martin Chuzzlewit he tried "to resist the temptation of the current Monthly Number, and to keep a steadier eye upon the general purpose and design" (1844 Preface).
During a period when Britain was to the world what America is now, the No. 1 nation with a widely admired élan, Churchill always kept a friendly, steady eye on the oncoming American chariot.
At Ashmolean Museum, Oxford Willem Kalf, Still Life: Fruit, Goblet and Salver, 1660s This Dutch artist casts a cool and steady eye on the pleasures of the physical world.
Try to look people in the eye most of the time when you're talking to them, and when you're not talking to them, use a few seconds of steady eye contact to spark someone's interest from across the room.
If you're talking to a woman, feel free to maintain fairly steady eye contact, but if you're not, looking her in the eyes for more than a few seconds at a time can put her seriously ill-at-ease.
