A Primer Of Quaternions

<p>The contents of the book are as follows</p><p>1. Steps </p><p>Definitions and Theorems </p><p>Centre of Gravity </p><p>Curve Tracing Tangents </p><p>Parallel Projection </p><p>Step Proportion </p><p>Examples</p><p>2. Rotations. Turns. Arc Steps</p><p>Definitions and Theorems of Rotation </p><p>Definitions of Turn and Arc Steps </p><p>Examples</p><p>3. Quaternions</p><p>Definitions and Theorem </p><p>Examples </p><p>Multiplication </p><p>The Rotator q()q−1 </p><p>Powers and Roots </p><p>Representation of Vectors </p><p>Examples </p><p>Addition </p><p>Formulas </p><p>Geometric Theorems </p><p>Examples </p><p>4. Equations of First Degree </p><p>Scalar Equations Plane and Straight Line</p><p>Examples</p><p>Nonions </p><p>Vector Equations the Operator φ </p><p>Linear Homogeneous Strain </p><p>Finite and Null Strains </p><p>Solution of φρ = δ </p><p>Derived Moduli. Latent Roots </p><p>Latent Lines and Planes </p><p>The Characteristic Equation </p><p>Conjugate Nonions </p><p>Self-conjugate Nonions </p><p>Examples </p>