I randomly pick one for you.
The Antiquities of the Jews, book 8, chapter 5, section 1,
How Solomon Built Himself A Royal Palace, Very Costly And Splendid; And How He Solved the Riddles Which Were Sent Him By Hiram.
1. After the building of the temple, which, as we have before said, was finished in seven years, the king laid the foundation of his palace, which be did not finish under thirteen years, for he was not equally zealous in the building of this palace as he had been about the temple; for as to that, though it was a great work, and required wonderful and surprising application, yet God, for whom it was made, so far co-operated therewith, that it was finished in the forementioned number of years: but the palace, which was a building much inferior in dignity to the temple, both on account that its materials had not been so long beforehand gotten ready, nor had been so zealously prepared, and on account that this was only a habitation for kings, and not for God, it was longer in finishing. However, this building was raised so magnificently, as suited the happy state of the Hebrews, and of the king thereof. But it is necessary that I describe the entire structure and disposition of the parts, that so those that light upon this book may thereby make a conjecture, and, as it were, have a prospect of its magnitude.
What Solomon built is neither witnessed by Josephus, nor experienced by him. To Josephus as a historian, this is a fact by examining the credibility of information at hand that this was eye-witnessed by the Jews back in Solomon's days.
That's how history is written. We Chinese have around 5000 years of written history. Books written by authors more than 1000 years after the occurrence of events/figures can be considered legitimate, as long as credible information can be acquired through writings done by previous historians, which subsequently are believed to have information ultimately from eye-witnesses back to the time of occurrence.