Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 38
... Note . a2ß2 must not be confounded with ( aß ) 3 . 23. Before proceeding further it is desirable we should work out a few simple Examples . Ex . 1. To express the cosine of an angle of a triangle in terms of the sides . Let ABC be a ...
... Note . a2ß2 must not be confounded with ( aß ) 3 . 23. Before proceeding further it is desirable we should work out a few simple Examples . Ex . 1. To express the cosine of an angle of a triangle in terms of the sides . Let ABC be a ...
Σελίδα 41
... 2 · 4 ( OQ - OP ) 3 = 4PQ3 . Therefore as lines the same is true . Note . The points A , B , C , D need not be in one plane . Ex . 9. Four times the squares of the distances ART . 23. ] VECTOR MULTIPLICATION AND DIVISION . 41.
... 2 · 4 ( OQ - OP ) 3 = 4PQ3 . Therefore as lines the same is true . Note . The points A , B , C , D need not be in one plane . Ex . 9. Four times the squares of the distances ART . 23. ] VECTOR MULTIPLICATION AND DIVISION . 41.
Σελίδα 51
... Notes to his Euclid . [ More directly 24 επ β == γ , 2B π 20 γ α , From these π - B. or ( A + B + C ) == · 1 , A + B + C = T . ] Ex . 4. In the figure of Euclid 1. 47 the three lines AL , BK , CF meet in a point . Let BC = a , CA = ß ...
... Notes to his Euclid . [ More directly 24 επ β == γ , 2B π 20 γ α , From these π - B. or ( A + B + C ) == · 1 , A + B + C = T . ] Ex . 4. In the figure of Euclid 1. 47 the three lines AL , BK , CF meet in a point . Let BC = a , CA = ß ...
Σελίδα 60
... ( Note . In addition to this we must have the equation of the plane of the paper , in which p is tacitly supposed to lie . This may be written as Sep = 0. ) 33. Equation of a plane . Let P be any point in the plane , OD perpendicular to ...
... ( Note . In addition to this we must have the equation of the plane of the paper , in which p is tacitly supposed to lie . This may be written as Sep = 0. ) 33. Equation of a plane . Let P be any point in the plane , OD perpendicular to ...
Σελίδα 65
... Note that , if ẞ || y , we have simply 2p = x'ẞ ; and , as there is now but one scalar indeterminate , the locus is a straight line instead of a plane . Ex . 2. Planes cut off , from the three rectangular co - ordinate axes , pyramids ...
... Note that , if ẞ || y , we have simply 2p = x'ẞ ; and , as there is now but one scalar indeterminate , the locus is a straight line instead of a plane . Ex . 2. Planes cut off , from the three rectangular co - ordinate axes , pyramids ...
Άλλες εκδόσεις - Προβολή όλων
Introduction to Quaternions, with Numerous Examples Philip Kelland,Peter Guthrie Tait Πλήρης προβολή - 1873 |
Introduction to Quaternions, with Numerous Examples. Philip Kelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2010 |
Introduction to Quaternions, with Numerous Examples P. Kelland,P. G. Tait Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 8 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 52 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Σελίδα 39 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 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.
Σελίδα 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?.
Σελίδα 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*.
Σελίδα 26 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Σελίδα 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.