The Outlines of QuaternionsLongmans, Green, 1894 - 190 páginas |
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Página 1
... called its Origin ; and its final point , B , is called its Term . With the exception of three special vectors ( i , j , k , Pt . II . , 6 ° ) , vectors will be denoted in these pages either by a symbol combining their initial and final ...
... called its Origin ; and its final point , B , is called its Term . With the exception of three special vectors ( i , j , k , Pt . II . , 6 ° ) , vectors will be denoted in these pages either by a symbol combining their initial and final ...
Página 2
... called Vector and Revector . Coinitial Vectors are vectors whose origins coincide . If there be any series of vectors such that the origin of the second coincides with the term of the first , the origin of the third with the term of the ...
... called Vector and Revector . Coinitial Vectors are vectors whose origins coincide . If there be any series of vectors such that the origin of the second coincides with the term of the first , the origin of the third with the term of the ...
Página 8
... called a Scalar ( scala , a scale ) . Scalars are the real quantities of algebra , and as such are combined with each other according to the ordinary laws of algebra . 23o . In equation ( 1 ) of 18 ° , AZ = mAB , where m is a positive ...
... called a Scalar ( scala , a scale ) . Scalars are the real quantities of algebra , and as such are combined with each other according to the ordinary laws of algebra . 23o . In equation ( 1 ) of 18 ° , AZ = mAB , where m is a positive ...
Página 10
... called the Origin of the System ; and each particular vector , say OA , is called the vector of its own term , A. Let OA = a , OB = Then , by 19 ° , they are the form B , be any two given parallel vectors . connected together by an ...
... called the Origin of the System ; and each particular vector , say OA , is called the vector of its own term , A. Let OA = a , OB = Then , by 19 ° , they are the form B , be any two given parallel vectors . connected together by an ...
Página 19
... called the Mean Point . B ) AM = ƒ AA ' = } ( ~~~ 3 ) = Y = B. 3 • 2. The Incentre , I , and the ( b ) Excentre , E. ( 1 ) I is the cross of AA ' and BB ' , the bisectors of the angles CAB and ABC respectively . Produce CI to meet AB in ...
... called the Mean Point . B ) AM = ƒ AA ' = } ( ~~~ 3 ) = Y = B. 3 • 2. The Incentre , I , and the ( b ) Excentre , E. ( 1 ) I is the cross of AA ' and BB ' , the bisectors of the angles CAB and ABC respectively . Produce CI to meet AB in ...
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Términos y frases comunes
arcs axis bisects centre chord circle coinitial vectors collinear commutative law conic conjugate consequently coplanar coplanar quaternions Crown 8vo diameter differential diplanar direction equal equation geometric given Hence hyperbola Illustrations intersection latus rectum Let OA locus mean point mẞ Multiplying OABC operation opposite P₁ parabola parallel parallelopiped perpendicular plane AOB positive or negative reciprocal right angles right quaternion right versors rotation Saß Saßy scalar Scientific Works published Similarly sphere SrVq ẞa symbols tangent TaTẞ tensor three vectors triangle Tẞ TẞTa unit-vector variable Vaß vector versor vertex VqVr VrVq Vẞy Woodcuts α α αβ β α βα φρ ОА ов ос тв وو ᎢᏰ
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