Term for Writing Style

There is a kind of writing in which the writer presents his claim, discovery, or method (of doing a thing) that had not been written, shared, or heard of before.

He writes it in such a logical and sensible manner that the reader (at first skeptical) will consider, then find himself agreeing, eventually feeling that he knew it all his life anyway, and ends up supporting the author by simply saying, "Of course -- we all knew that anyway".

The writer is not debating, and mentions several times to the reader that "this is just another perspective; one may believe this information or not, it may or may not be correct, but here is what I found" and he totally wins the reader over by just using common sense (which isn't quite as common as it seems)...

It might be called "persuasive writing" but that actually sounds kind of lame. Is there a term used by the literate for that style?