« VorigeDoorgaan »
THE PRESENT TREATise is intended to open up the subject of Vibratory Motion to students who have mastered the elements of dynamics.
The key to the whole subject is Simple Harmonic motion, to which accordingly a large amount of space has been devoted. Its definition and leading properties are discussed in Chapter I.
Chapter III. discusses the composition of two Simple Harmonic motions of the same period, and contains some novelties in the shape of simple geometric proofs of propositions usually established by trigonometry (see especially 99 24-28). Chapter II. has cleared the way by some explanations regarding the general subject of composition of motions.
These first three chapters lead straight to the geometry of Simple Harmonic waves, which is accordingly discussed in Chapter IV. The proofs of some of the most important properties of waves are given in duplicate,