Introduction to Quaternions: With Numerous Examples |
From inside the book
Results 1-5 of 17
Page 2
... satisfied ; and accord- ingly the master goes on to say : " If I multiply by more than one , the thing is increased ; if I take it but once , it is not changed ; and if I take it less than once , it cannot be so much as it was before ...
... satisfied ; and accord- ingly the master goes on to say : " If I multiply by more than one , the thing is increased ; if I take it but once , it is not changed ; and if I take it less than once , it cannot be so much as it was before ...
Page 22
... satisfy the con- dition required , the proposition is proved generally ( Art . 11 ) . 13. Conversely , if a , ß , y are coinitial coplanar vectors , and if both aa + bB + cy = 0 and a + b + c = 0 , then do a , ß , y terminate in a ...
... satisfy the con- dition required , the proposition is proved generally ( Art . 11 ) . 13. Conversely , if a , ß , y are coinitial coplanar vectors , and if both aa + bB + cy = 0 and a + b + c = 0 , then do a , ß , y terminate in a ...
Page 76
... satisfied by the values of p to both points of sec- tion ; and being the equation of a straight line ( 32. 3 ) is the equation of the line joining the points of section of circle D with circle A - call it line 1 , and so of the others ...
... satisfied by the values of p to both points of sec- tion ; and being the equation of a straight line ( 32. 3 ) is the equation of the line joining the points of section of circle D with circle A - call it line 1 , and so of the others ...
Page 80
... satisfied for both points of contact , and since it is the equation of a straight line ( 32. 3 ) it must be satis- fied for every point in the straight line which passes through those points : it is therefore the equation of the chord ...
... satisfied for both points of contact , and since it is the equation of a straight line ( 32. 3 ) it must be satis- fied for every point in the straight line which passes through those points : it is therefore the equation of the chord ...
Page 87
... satisfied by 0 = 288 , i.e. the planes all pass through a point G in CE , such that a3 CG CE , c2 = or CE.CG = a2 ... satisfy both equations , and therefore their difference 2S ( B − y ) p = c — b , which , being the third equation ...
... satisfied by 0 = 288 , i.e. the planes all pass through a point G in CE , such that a3 CG CE , c2 = or CE.CG = a2 ... satisfy both equations , and therefore their difference 2S ( B − y ) p = c — b , which , being the third equation ...
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.