Introduction to Quaternions, with Numerous Examples

ABCD aßy axis centre chord circle cone conjugate diameters constant diagonals drawn ellipse ellipsoid equal example find the equation find the locus given plane given point given straight lines gives Hence hyperbola latus rectum line of intersection line which joins mean point meet middle points multiplication notation nẞ operating P₁ parabola parallelepiped parallelogram prove quadrilateral Quaternions right angles rotation Sapa Saß scalar second order semi-diameters shews sides Similarly simple shear Spop squares ß² ß³ strain subtraction Tait tangent plane tensor tetrahedron three vectors triangle unit vectors values Vaß vector parallel vector perpendicular versor Vẞy whence yẞ αβγ φρ