Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página xvii
... Vectors 472 , 473 473-475 475-477 685-687 . General expression for vector - quotients 688-690 . Multiplication of vector - quotients is distributive 477 , 478 478 , 479 691-694 . Versors as roots of unity • 479 , 480 695-703 . Vector ...
... Vectors 472 , 473 473-475 475-477 685-687 . General expression for vector - quotients 688-690 . Multiplication of vector - quotients is distributive 477 , 478 478 , 479 691-694 . Versors as roots of unity • 479 , 480 695-703 . Vector ...
Página 473
... Vector ( AB ) Vector ( CD ) . = The extended use of directed lengths will of course involve the formulæ : = - Vector ( BA ) . Vector ( AB ) = Vector ( AA ) = 0 . Addition of Vectors . 670. In Art . 340 , it was shown that if A , B , C ...
... Vector ( AB ) Vector ( CD ) . = The extended use of directed lengths will of course involve the formulæ : = - Vector ( BA ) . Vector ( AB ) = Vector ( AA ) = 0 . Addition of Vectors . 670. In Art . 340 , it was shown that if A , B , C ...
Página 474
... vectors , drawn from the same point , is a vector drawn from that point and represented by the diagonal of the parallelogram of which the two given vectors are adjacent sides . 673. If three non - coplanar axes be drawn from any point O ...
... vectors , drawn from the same point , is a vector drawn from that point and represented by the diagonal of the parallelogram of which the two given vectors are adjacent sides . 673. If three non - coplanar axes be drawn from any point O ...
Página 476
... vector . Just as in ordinary Geometry we abstract from the direction of a line and consider only its length , so here we abstract from the length of the line and consider only its direction . A vector may in fact be defined either as a ...
... vector . Just as in ordinary Geometry we abstract from the direction of a line and consider only its length , so here we abstract from the length of the line and consider only its direction . A vector may in fact be defined either as a ...
Página 477
... vector - quotient involves four abstract numbers : - ( 1 ) The ratio of the lengths of the two vectors . ( 2 ) The ... vector- quotient a quaternion . 684 . We may now mainly consider vector - quotients which have the same axis . And ...
... vector - quotient involves four abstract numbers : - ( 1 ) The ratio of the lengths of the two vectors . ( 2 ) The ... vector- quotient a quaternion . 684 . We may now mainly consider vector - quotients which have the same axis . And ...
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Términos y frases comunes
acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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