Fire altars were an important part of ritual throughout the ancient wo
rld. Geometric ritual, often a part of the fire altars, was intimately
connected with problems of mathematics and astronomy. Manuals of alta
r design from India explain the basis behind the reconciliation of the
lunar and the solar years. This astronomy is based on the use of mean
motions. Computation rules from Vedanga Jyotisa, an astronomy manual
from the latter part of the second millennium sc that was used during
the closing of the age of the altar ritual, are also described.