Introduction to QuaternionsMacmillan and Company, 1882 - 232 |
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Strona 13
... respectively , they are points taken in BC , CA , AB produced , at the same distances respectively from C , A , and B ; to find the inter- sections . Let the points of intersection be respectively G ,, G2 , G. G3 E we and B A F ...
... respectively , they are points taken in BC , CA , AB produced , at the same distances respectively from C , A , and B ; to find the inter- sections . Let the points of intersection be respectively G ,, G2 , G. G3 E we and B A F ...
Strona 16
... respectively by two different routes , -viz . through C and through E for P ; through B and through E for Q --and comparing the results . cp = pct Cor . 1. PE : EC :: p - 1 : 1 " ups cp.cc V x : 1 :: AP : AB . Cor . 2. AE AD : 2z : 1 ...
... respectively by two different routes , -viz . through C and through E for P ; through B and through E for Q --and comparing the results . cp = pct Cor . 1. PE : EC :: p - 1 : 1 " ups cp.cc V x : 1 :: AP : AB . Cor . 2. AE AD : 2z : 1 ...
Strona 19
... respectively : construct a rhombus APQR on them and draw its diagonal AR . Then since the diagonals of a rhombus bi- sect its angles , it is clear that the vector AD which bisects the angle A is a multiple of AR the diagonal vector of ...
... respectively : construct a rhombus APQR on them and draw its diagonal AR . Then since the diagonals of a rhombus bi- sect its angles , it is clear that the vector AD which bisects the angle A is a multiple of AR the diagonal vector of ...
Strona 21
... respectively to a , B , y . Now if the vectors corresponding to those sides taken in order be aa , bß , cy respectively , we shall have , by going round the triangle , aa + bB + cy = 0 . 10. If a , ß , y are three vectors neither ...
... respectively to a , B , y . Now if the vectors corresponding to those sides taken in order be aa , bß , cy respectively , we shall have , by going round the triangle , aa + bB + cy = 0 . 10. If a , ß , y are three vectors neither ...
Strona 30
... respectively ; prove that BD , BC , BE form an harmonical progression . 12. The diagonals of a parallelepiped bisect one another . 13. The mean point of a tetrahedron is the mean point of the tetrahedron formed by joining the mean ...
... respectively ; prove that BD , BC , BE form an harmonical progression . 12. The diagonals of a parallelepiped bisect one another . 13. The mean point of a tetrahedron is the mean point of the tetrahedron formed by joining the mean ...
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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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