Introduction to QuaternionsMacmillan and Company, 1882 - 232 |
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... VECTOR ADDITION AND SUBTRACTION Definition of a VECTOR , with conclusions immediately resulting therefrom , Art . 1—6 ; examples , 7 ; definition of UNIT VECTOR and TENSOR , with examples , 8 ; coplanarity of three coinitial vectors ...
... VECTOR ADDITION AND SUBTRACTION Definition of a VECTOR , with conclusions immediately resulting therefrom , Art . 1—6 ; examples , 7 ; definition of UNIT VECTOR and TENSOR , with examples , 8 ; coplanarity of three coinitial vectors ...
Strona 19
... units in length , and the unit vector along AB be designated by a , then will vector AB be aa ( Art . 3 ) . Sir William Hamilton has termed the length of the line in such cases , the TENSOR of the vector ; so that the vector AB is the ...
... units in length , and the unit vector along AB be designated by a , then will vector AB be aa ( Art . 3 ) . Sir William Hamilton has termed the length of the line in such cases , the TENSOR of the vector ; so that the vector AB is the ...
Strona 20
... unit vectors from A , and if & be another vector from A such that 8 = x ( a + ẞ ) ; then 8 bisects the angle between a and B. Ex . 2. The three bisectors of the angles of a triangle meet in a point . Let AD , BE bisect A , B and meet in ...
... unit vectors from A , and if & be another vector from A such that 8 = x ( a + ẞ ) ; then 8 bisects the angle between a and B. Ex . 2. The three bisectors of the angles of a triangle meet in a point . Let AD , BE bisect A , B and meet in ...
Strona 24
... unit vectors along OP , OQ be denoted by a , ß ; and put then and and OP ̧ = m1a , OP ̧ = ma , OP ̧ = m ̧α ; 1 3 OQ1 = n1ß , OQ , = n‚ß , OQ ̧ = n2ß ; OR2 = OP1 + P ̧R2 = m1a + x ( n‚ß — m ̧a ) , OR ̧ = OQ2 + Q ̧R2 = n ̧ẞ + y ( ma — n ...
... unit vectors along OP , OQ be denoted by a , ß ; and put then and and OP ̧ = m1a , OP ̧ = ma , OP ̧ = m ̧α ; 1 3 OQ1 = n1ß , OQ , = n‚ß , OQ ̧ = n2ß ; OR2 = OP1 + P ̧R2 = m1a + x ( n‚ß — m ̧a ) , OR ̧ = OQ2 + Q ̧R2 = n ̧ẞ + y ( ma — n ...
Strona 28
... unit vectors parallel to these axes ; and by p1 , P2 , & c . the vectors to the different points ; and if we write x1 , Y1 ; X2 Y2 ) & c . for the Cartesian co - ordinates of the different points referred to those axes ; and define the ...
... unit vectors parallel to these axes ; and by p1 , P2 , & c . the vectors to the different points ; and if we write x1 , Y1 ; X2 Y2 ) & c . for the Cartesian co - ordinates of the different points referred to those axes ; and define the ...
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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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