The survival of the valid. Peer review ; The scientific method
Birth. The bowl of night. The two-sphere universe ; Coordinate systems ; The sun
Epicycles and relative motion. A mechanical linkage ; Relative motion
The deferent-epicycle model. Retrograde motion ; Ptolemy ; The deferent-epicycle model ; Intimations of numerology ; The equant
Making money, et cetera. Epicyclic curves as decorative patterns ; Cycloidal curves
Rebirth. The reluctant revolutionary. Adjusting the Ptolemaic theory ; Copernicus ; Galileo
Circles no more. The ellipse ; Two pearls ; Tracking planets
The war with Mars. Tycho Brahe ; Kepler
Enlightenment. The birth of mechanics. Archimedes ; Galileo
The astronomical alchemist. Newton's dynamics ; Rotational dynamics ; The law of universal gravitation