Introduction to Quaternions: With Numerous Examples |
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Page 8
... sides of a triangle are together greater than the third side " . But it is not really so . The anomalous appearance arises from the fact that whilst we have extended the meaning of the symbol beyond its arithmetical signification , we ...
... sides of a triangle are together greater than the third side " . But it is not really so . The anomalous appearance arises from the fact that whilst we have extended the meaning of the symbol beyond its arithmetical signification , we ...
Page 10
... sides of a parallelogram are equal ; and the diagonals bisect each other . Since AB is parallel to CD , if vector AB be represented by a , vector CD will be represented by some numerical multiple of a ( Art . 3 ) , call it ma . And ...
... sides of a parallelogram are equal ; and the diagonals bisect each other . Since AB is parallel to CD , if vector AB be represented by a , vector CD will be represented by some numerical multiple of a ( Art . 3 ) , call it ma . And ...
Page 11
... sides of a triangle meet in a point which trisects each of them . Let the sides of the triangle ABC be bisected in D , E , F ; and let AD , BE meet in G. Let vector BD or DC be a , CE or EA ß , then , as vectors , BA = BC + CA = 2a + 2ẞ ...
... sides of a triangle meet in a point which trisects each of them . Let the sides of the triangle ABC be bisected in D , E , F ; and let AD , BE meet in G. Let vector BD or DC be a , CE or EA ß , then , as vectors , BA = BC + CA = 2a + 2ẞ ...
Page 12
... sides , they are any points whatever in those sides , it is required to find G and the point in which CG produced meets AB . BC Let DC Hence = CA m , = n ; also let vector DC = a , vector CE = ß ; CE .. BC = ma , CA = nß . BG = xBE , GA ...
... sides , they are any points whatever in those sides , it is required to find G and the point in which CG produced meets AB . BC Let DC Hence = CA m , = n ; also let vector DC = a , vector CE = ß ; CE .. BC = ma , CA = nß . BG = xBE , GA ...
Page 14
... sides of a quadrilateral coincide , whether the four sides of the quadrilateral be in the same plane or not . Let ABCD be a quadrilateral ; E , H , G , F the middle points of AB , BC , CD , DA ; X the middle point of EG . Let vector AB ...
... sides of a quadrilateral coincide , whether the four sides of the quadrilateral be in the same plane or not . Let ABCD be a quadrilateral ; E , H , G , F the middle points of AB , BC , CD , DA ; X the middle point of EG . Let vector AB ...
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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
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