The Outlines of QuaternionsLongmans, Green, 1894 - 190 páginas |
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Página v
... coplanar , and diplanar vectors SECTION 2 Equality and Inequality of Vectors 7 ° . Definition of equal vectors 8 ° . Example of equal vectors 9 ° . All equal vectors are denoted by the same symbol SECTION 3 Subtraction and Addition of ...
... coplanar , and diplanar vectors SECTION 2 Equality and Inequality of Vectors 7 ° . Definition of equal vectors 8 ° . Example of equal vectors 9 ° . All equal vectors are denoted by the same symbol SECTION 3 Subtraction and Addition of ...
Página vi
... Three Vectors 27 ° . If la + mß + ny = 0 , a , ß , y are coplanar 11 28 ° . If la + mB + ny = o , and a , B , y terminate in a straight line ; then + m + n = 0 12 ART . 29 ° . Anharmonic and harmonic section of vi OUTLINES OF QUATERNIONS.
... Three Vectors 27 ° . If la + mß + ny = 0 , a , ß , y are coplanar 11 28 ° . If la + mB + ny = o , and a , B , y terminate in a straight line ; then + m + n = 0 12 ART . 29 ° . Anharmonic and harmonic section of vi OUTLINES OF QUATERNIONS.
Página vii
... COPLANAR VECTORS 32 ° . Illustrations CHAPTER IV ON POINTS AND VECTORS IN SPACE SECTION 1 The Mean Point 19 33 ° . Definitions of the simple and complex mean points 34 ° . The position of the mean point depends absolutely upon the ...
... COPLANAR VECTORS 32 ° . Illustrations CHAPTER IV ON POINTS AND VECTORS IN SPACE SECTION 1 The Mean Point 19 33 ° . Definitions of the simple and complex mean points 34 ° . The position of the mean point depends absolutely upon the ...
Página viii
... coplanar quaternions 31 99 ( i )土 a α α 99 γ 8 ± Y , & c . . = ( j ) Miscellaneous definitions SECTION 2 The Nature of a Quaternion 2o . ( a ) Nature of the symbol ( b ) 99 B α 99 symbol βα 3 ° . The operation of tension diplanar ...
... coplanar quaternions 31 99 ( i )土 a α α 99 γ 8 ± Y , & c . . = ( j ) Miscellaneous definitions SECTION 2 The Nature of a Quaternion 2o . ( a ) Nature of the symbol ( b ) 99 B α 99 symbol βα 3 ° . The operation of tension diplanar ...
Página xii
... Coplanar Quaternions = Kq . q , & c . SECTION 3 Right Quaternions = V2V1 • 66 ° . Sv ̧v2 = } ( v , v2 + v2v1 ) ; Vv1v2 = } ( v‚v2 — v‚v1 ) ; Kv ̧v2 = 67 ° . Product of two right quaternions at right angles to each other is a third right ...
... Coplanar Quaternions = Kq . q , & c . SECTION 3 Right Quaternions = V2V1 • 66 ° . Sv ̧v2 = } ( v , v2 + v2v1 ) ; Vv1v2 = } ( v‚v2 — v‚v1 ) ; Kv ̧v2 = 67 ° . Product of two right quaternions at right angles to each other is a third right ...
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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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