Introduction to Quaternions: With Numerous ExamplesMacmillan, 1882 - 232 σελίδες |
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Σελίδα 39
... squares of the diagonals of a paral lelogram is equal to the sum of the squares of the sides . Retaining the notation and figure of Ex . 1 , Art . 7 , CB = a + ß , AD = a - ẞ ; .. CB2 + DA2 = 2a3 + 2ß3 , and , changing all the signs ...
... squares of the diagonals of a paral lelogram is equal to the sum of the squares of the sides . Retaining the notation and figure of Ex . 1 , Art . 7 , CB = a + ß , AD = a - ẞ ; .. CB2 + DA2 = 2a3 + 2ß3 , and , changing all the signs ...
Σελίδα 40
... squares of the sides of the triangle fall short of three times the squares of the distances of the angular points from O , by the square of three times the distance of the mean point from 0 . Let then ( Art . 14 ) , or Now OA = a , OB ...
... squares of the sides of the triangle fall short of three times the squares of the distances of the angular points from O , by the square of three times the distance of the mean point from 0 . Let then ( Art . 14 ) , or Now OA = a , OB ...
Σελίδα 41
... squares of half the sides . Retaining the notation of the last example , and the figure of Ex . 4 , Art . 7 , 1 1 1 ... squares of the sides of any quadrilateral exceed the squares of the diagonals by four times the square of the line ...
... squares of half the sides . Retaining the notation of the last example , and the figure of Ex . 4 , Art . 7 , 1 1 1 ... squares of the sides of any quadrilateral exceed the squares of the diagonals by four times the square of the line ...
Σελίδα 42
... squares of the distances of any point whatever from the angular points of a quadrilateral are equal to the sum of the squares of the sides , the squares of the diagonals and the square of four times the distance of the point from the ...
... squares of the distances of any point whatever from the angular points of a quadrilateral are equal to the sum of the squares of the sides , the squares of the diagonals and the square of four times the distance of the point from the ...
Σελίδα 43
... squares of the edges exceeds the sum of the squares of the diagonals by eight times the square of the straight line which joins the points of inter- section of the two pairs of diagonals . Let OA = a , OB = ß , OC = y , OD = 8 ; sum of ...
... squares of the edges exceeds the sum of the squares of the diagonals by eight times the square of the straight line which joins the points of inter- section of the two pairs of diagonals . Let OA = a , OB = ß , OC = y , OD = 8 ; sum of ...
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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