An Elementary Treatise on Quaternions |
From inside the book
Results 1-5 of 77
Page vii
... easily have rivalled the bulk of one of Hamilton's volumes . The beginner is recommended merely to read the first five Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he ...
... easily have rivalled the bulk of one of Hamilton's volumes . The beginner is recommended merely to read the first five Chapters , then to work at Chapters VI , VII , VIII ( to which numerous easy Examples are appended ) . After this he ...
Page ix
... easily introduced into Quaternions as into Cartesian methods ) are quite beyond the amount of mathematics which even the best students can master in three years ' reading . One grand step to the supply of this want is , of course , the ...
... easily introduced into Quaternions as into Cartesian methods ) are quite beyond the amount of mathematics which even the best students can master in three years ' reading . One grand step to the supply of this want is , of course , the ...
Page 3
... easily that p , q , r must be non - reals : but , he asks , " seraient - elles imaginaires réductibles à la forme générale 4+ B√1 ? " This he could not answer . In fact they are the i , j , k of the Quaternion Calculus . ( See Chap ...
... easily that p , q , r must be non - reals : but , he asks , " seraient - elles imaginaires réductibles à la forme générale 4+ B√1 ? " This he could not answer . In fact they are the i , j , k of the Quaternion Calculus . ( See Chap ...
Page 7
... easily extended to incommensurables by the usual reductio ad absurdum . 23. ] An important , but almost obvious , proposition is that any vector may be resolved , and in one way only , into three components parallel respectively to any ...
... easily extended to incommensurables by the usual reductio ad absurdum . 23. ] An important , but almost obvious , proposition is that any vector may be resolved , and in one way only , into three components parallel respectively to any ...
Page 11
... easily verified by producing Aa to twice its length and joining the extremity with B. ( b . ) The bisectors of the sides of a triangle meet in a point , which trisects each of them . Taking A as origin , and putting a , ß , y for ...
... easily verified by producing Aa to twice its length and joining the extremity with B. ( b . ) The bisectors of the sides of a triangle meet in a point , which trisects each of them . Taking A as origin , and putting a , ß , y for ...
Other editions - View all
Common terms and phrases
a₁ axes axis Cartesian centre of inertia Chapter circle cloth cone conjugate constant cöordinates coplanar curvature curve developable surface diameters differential direction drawn easily ellipsoid envelop equal evidently expression Extra fcap extremity fcap Find the equation Find the locus given equation given line given vectors gives Hamilton Hence hodograph integral intersection last section length linear and vector locus normal obviously once operator origin osculating osculating plane P₁ parabola parallel perpendicular properties quaternion radius rectangular represents result right angles rotation S.aßy Saß scalar scalar equations second order self-conjugate shew solution sphere spherical straight line suppose surface surface of revolution tangent plane Taylor's Theorem tensor theorem three vectors triangle unit-vectors Vaß vector function versor w₁ write written Τρ φρ