Introduction to Quaternions: With Numerous Examples |
From inside the book
Results 1-5 of 32
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 B. . 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 B. . 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. ß ( a + xß ) = V ( BC.BE ) , i.e. Vẞa V ( BC . BE ) , = remembering that xß3 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. ß ( a + xß ) = V ( BC.BE ) , i.e. Vẞa V ( BC . BE ) , = remembering that xß3 has ...
Page 43
... ( writing the results in the same order ) , line PQ2 = o a2 ba + a2 + b2 + +0 3 3 2 2 + √3 3 ab sin C + ab cos C - 2ab cos C + 2 ab sin C + 0 √3 4 3 ( a2 + b2 - ab cos C ' ) + 4 ab sin C √3 2 3 = ( a + b + c ) + area of ABC , ( a2 ( a3 ...
... ( writing the results in the same order ) , line PQ2 = o a2 ba + a2 + b2 + +0 3 3 2 2 + √3 3 ab sin C + ab cos C - 2ab cos C + 2 ab sin C + 0 √3 4 3 ( a2 + b2 - ab cos C ' ) + 4 ab sin C √3 2 3 = ( a + b + c ) + area of ABC , ( a2 ( a3 ...
Other editions - View all
Common terms and phrases
ALGEBRA ARITHMETIC Assistant Master aßy axis BEGINNERS bisects Cambridge centre chord circle Clifton College cone CONIC SECTIONS conjugate diameters constant drawn Edited ELEMENTARY TREATISE ellipse ellipsoid ENGLISH equal EXAMPLES FASNACHT Fcap find the locus G. E. FASNACHT GEOMETRY given lines given point gives GRAMMAR GREEK Hence hyperbola Illustrated intersection Introduction and Notes ISAAC TODHUNTER J. P. MAHAFFY LATIN Lecturer LL.D M.A. Cr m₁ MACMILLAN'S Mathematics middle points Owens College p₁ parabola parallelepiped parallelogram PRIMER Prof Professor quaternion revised right angles rotation Sapa Saß scalar School shews squares strain tangent plane tetrahedron Translated triangle Trinity College unit vectors Vaß vector parallel vector perpendicular Vẞy whence yẞ αβγ φρ
Popular passages
Page 23 - College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Page 8 - Any two sides of a triangle are together greater than the third side.
Page 31 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Page 52 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Page 39 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Page 52 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 18 - BREYMANN— Works by HERMANN BREYMANN, Ph.D., Professor of Philology in the University of Munich. A FRENCH GRAMMAR BASED ON PHILOLOGICAL PRINCIPLES. Second Edition. Extra fcap. 8vo. 4?.
Page 20 - Whitney and Edgren. — A COMPENDIOUS GERMAN AND ENGLISH DICTIONARY, with Notation of Correspondences and Brief Etymologies. By Professor WD WHITNEY, assisted by AH EDGREN. Crown 8vo. 7^. 6d. THE GERMAN-ENGLISH PART, separately, 5*.
Page 26 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 30 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.