It's called an epigraph.
at the beginning of the book, or at the beginning of each chapter
The quote at the beginning of a book is called an epigraph.
The term for the quote at the beginning of a book is called an "epigraph."
Nothing makes us so lonely than our own secrets.
It is called an epigraph (see http://en.wikipedia.org/wiki/Epigraph_(literature) ).
There are many elements that could appear, although not all elements appear in all books. These include things like a copyright page, a title page, a dedication page, a foreword, and a table of contents.
The first chapter in the book "Flipped" by Wendelin Van Draanen is called "The Very Beginning."
Frontis piece is the illustration at the beginning of a book
The quote "What if it lines up like it did in the Trojan War?" can be found in Chapter 1 of "The Lightning Thief" by Rick Riordan. It is spoken by Percy Jackson in a conversation with Mrs. Dodds at the beginning of the book.
At the beginning of chapter 5, it is Monday morning.
At the beginning of a chapter
The beginning chapter of "Moby Dick" is set in December.