Introduction to Quaternions |
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Page v
... written entirely by Prof. Kelland . The mode of presentation which he employed must always be of great interest , if only from the fact that he was an exceptionally able teacher ; but the success of the work , as an introduction to a ...
... written entirely by Prof. Kelland . The mode of presentation which he employed must always be of great interest , if only from the fact that he was an exceptionally able teacher ; but the success of the work , as an introduction to a ...
Page viii
... treatise . The work is , as I have said , the joint production of Prof. Tait and myself . The preface I have written without consulting my colleague , as I am thus enabled to say what could not otherwise have been said , viii PREFACE . +.
... treatise . The work is , as I have said , the joint production of Prof. Tait and myself . The preface I have written without consulting my colleague , as I am thus enabled to say what could not otherwise have been said , viii PREFACE . +.
Page 32
... written symbol in a sequence is the operator on that which follows : in other words that aß shall read a into ẞ ' , and denote a operating on ß . 6 16. As in the Cartesian Geometry , so here we indicate the position of a point in space ...
... written symbol in a sequence is the operator on that which follows : in other words that aß shall read a into ẞ ' , and denote a operating on ß . 6 16. As in the Cartesian Geometry , so here we indicate the position of a point in space ...
Page 39
... writing TVẞa as the tensor multiplier of Vẞa so as to drop the vector e on both sides ; we have , calling BA , a ; BC , B ; BE = BA + AE = a + xß ; .. V. B ( a + xẞ ) = V ( BC.BE ) , i.e. Vẞa V ( BC . BE ) , = remembering that xß2 has ...
... writing TVẞa as the tensor multiplier of Vẞa so as to drop the vector e on both sides ; we have , calling BA , a ; BC , B ; BE = BA + AE = a + xß ; .. V. B ( a + xẞ ) = V ( BC.BE ) , i.e. Vẞa V ( BC . BE ) , = remembering that xß2 has ...
Page 43
... ( writing the results in the same order ) , a2 b2 line PQ2 = + a2 + b2 + +0 3 3 2 2 2 + ab sin C + ab cos C - 2ab cos C + ab sin C + 0 / 3 3 √3 4 4 = - 3 ( a2 + b2 — ab cos C ) + ab sin C √√3 / 3 úlra the . 4x 24 S1 c2 ) 2 = ( a2 + b2 ...
... ( writing the results in the same order ) , a2 b2 line PQ2 = + a2 + b2 + +0 3 3 2 2 2 + ab sin C + ab cos C - 2ab cos C + ab sin C + 0 / 3 3 √3 4 4 = - 3 ( a2 + b2 — ab cos C ) + ab sin C √√3 / 3 úlra the . 4x 24 S1 c2 ) 2 = ( a2 + b2 ...
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Common terms and phrases
A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES Exercises Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence HISTORY hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Litt Litt.D LL.D M.A. BOOK M.A. Cr MACMILLAN'S Mathematics middle points parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews Spop squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors values Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
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