Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα 64
... locus of the middle points of all straight lines which are terminated by two given straight lines . Let AP , BQ be the two given straight lines , unit vectors parallel to which are ẞ , y ; AB the line which is perpendicular to both AP ...
... locus of the middle points of all straight lines which are terminated by two given straight lines . Let AP , BQ be the two given straight lines , unit vectors parallel to which are ẞ , y ; AB the line which is perpendicular to both AP ...
Σελίδα 65
... locus is a plane passing through O ( 33. Cor . 2 ) , and perpendicular to OA ( 33. Cor . 1 ) . 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 ...
... locus is a plane passing through O ( 33. Cor . 2 ) , and perpendicular to OA ( 33. Cor . 1 ) . 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 ...
Σελίδα 66
... locus of the middle points of straight lines terminated by two given straight lines and all parallel to a given plane . Retaining the figure and notation of Ex . 1 , let & be the vector perpendicular to the given plane we have Now 2p ...
... locus of the middle points of straight lines terminated by two given straight lines and all parallel to a given plane . Retaining the figure and notation of Ex . 1 , let & be the vector perpendicular to the given plane we have Now 2p ...
Σελίδα 67
... locus required is a straight line , the diagonal of the parallelogram whose sides are aa , CB . Ex . 5. To find the locus of a point such that the ratio of its distances from a given point and a given straight line is constant-- all in ...
... locus required is a straight line , the diagonal of the parallelogram whose sides are aa , CB . Ex . 5. To find the locus of a point such that the ratio of its distances from a given point and a given straight line is constant-- all in ...
Σελίδα 68
... locus . Ex . 6. The same problem when the points and line are not in the same plane . Retaining the same figure and notation , we see that PQ is no longer a multiple of a ; but PQ = SQ - SP = a + yy ― p ; 2 .. p2 = e3 ( a + yy − p ) 3 ...
... locus . Ex . 6. The same problem when the points and line are not in the same plane . Retaining the same figure and notation , we see that PQ is no longer a multiple of a ; but PQ = SQ - SP = a + yy ― p ; 2 .. p2 = e3 ( a + yy − p ) 3 ...
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
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