How to paint flat ceilings to not show roller lines?

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The best flat paint to use has more caulk and less resin. The flattest paint is primer. Primer makes awesome ceiling paint that also lasts for decades. We've been painting flat ceilings with high-quality primers for 40 years. Our ceilings look amazing! 

Being said,

Ceiling paint

if you are concerned about paint dripping onto your face, flooring etc you can use paint specifically made for painting ceilings. Ceiling paint has a gel added to the paint which helps reduce spatter and dripping.