Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα 10
... 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 since CA is ...
... 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 since CA is ...
Σελίδα 16
... x ( 1 + p ) = yp , x ( 1 + q ) = − q + Y , whence i . e . CF BC x = ( 1 + x ) pq , = BF AD CE BC BD AE ' .. AD . BF.CE = AE . CF. BD . Ex . 11. If from any point within a parallelogram 16 [ CHAP . II . QUATERNIONS .
... x ( 1 + p ) = yp , x ( 1 + q ) = − q + Y , whence i . e . CF BC x = ( 1 + x ) pq , = BF AD CE BC BD AE ' .. AD . BF.CE = AE . CF. BD . Ex . 11. If from any point within a parallelogram 16 [ CHAP . II . QUATERNIONS .
Σελίδα 17
... parallelogram , parallels be drawn to the sides , the corresponding diagonals of the two A P R B T parallelograms thus formed , and of the original parallelogram shall meet in the same point . Let PQ , RS meet in T ; join TO , OD . Let ...
... parallelogram , parallels be drawn to the sides , the corresponding diagonals of the two A P R B T parallelograms thus formed , and of the original parallelogram shall meet in the same point . Let PQ , RS meet in T ; join TO , OD . Let ...
Σελίδα 29
... parallelogram , so that AP : AB :: BQ : BC , & c . , PQRS will form a parallelogram . 2. If the points be taken so that AP = CR , BQ = DS , the same is true . 3. The mean point of PQRS is in both cases the same as that of ABCD . 4. If P ...
... parallelogram , so that AP : AB :: BQ : BC , & c . , PQRS will form a parallelogram . 2. If the points be taken so that AP = CR , BQ = DS , the same is true . 3. The mean point of PQRS is in both cases the same as that of ABCD . 4. If P ...
Σελίδα 30
... parallelogram described as in Ex . 1 , the intersections of PQ , P'Q ' , & c . shall be in the angular points of a parallelogram EFGH constructed from PQRS as P'Q'R'S ' is constructed from ABCD . 5. The quadrilateral formed by bisecting ...
... parallelogram described as in Ex . 1 , the intersections of PQ , P'Q ' , & c . shall be in the angular points of a parallelogram EFGH constructed from PQRS as P'Q'R'S ' is constructed from ABCD . 5. The quadrilateral formed by bisecting ...
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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