Complex sentence: In the United States, the Lincoln catafalque, first used for Abraham Lincoln's funeral in 1865, has been used for all those who have lain in state in the Capitol Rotunda.
Split into simpler sentences: In the United States, while lying in state under the Capitol Rotunda, the casket is placed on the catafalque first used for Abraham Lincoln's funeral in 1865. This catafalque has been used for all those who have lain in state in the Capitol rotunda.