Final answer:
The procedure known as Chorionic villus sampling involves taking a sample from the chorionic villi to perform prenatal diagnosis for genetic disorders.
Step-by-step explanation:
The procedure that involves obtaining sections of projections of the outer fetal membrane for fetal cell analysis is called Chorionic villus sampling (CVS). This procedure is used for prenatal diagnosis to detect chromosomal abnormalities and other genetic disorders. It involves taking a sample from the chorionic villi, which are projections of the chorionic membrane that burrow into the endometrium to form the fetal portion of the placenta. CVS can be carried out either through the cervix (transcervical) or the abdomen (transabdominal).