The Outlines of QuaternionsLongmans, Green, 1894 - 190 páginas |
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Página vi
... Scalars , Unit- Vectors , and Tensors 22 ° . Definition of a scalar 23 ° . 93 29 unit - vector and a tensor 24 ° . Distinction between a scalar and a tensor PAGE 4 5 5 5 7 ∞ 00 CHAPTER II ON POINTS AND VECTORS IN A GIVEN PLANE SECTION ...
... Scalars , Unit- Vectors , and Tensors 22 ° . Definition of a scalar 23 ° . 93 29 unit - vector and a tensor 24 ° . Distinction between a scalar and a tensor PAGE 4 5 5 5 7 ∞ 00 CHAPTER II ON POINTS AND VECTORS IN A GIVEN PLANE SECTION ...
Página ix
... Scalar and a Vector 17 ° . q = Sq + Vq • 18 ° . Recapitulation of the formulæ of 17 ° 19 ° . On the symbol , cos 0 + € sin 44 48 49 20 ° . The sum of a scalar and a vector is a quaternion 49 21 ° . Vector multiplication is not ...
... Scalar and a Vector 17 ° . q = Sq + Vq • 18 ° . Recapitulation of the formulæ of 17 ° 19 ° . On the symbol , cos 0 + € sin 44 48 49 20 ° . The sum of a scalar and a vector is a quaternion 49 21 ° . Vector multiplication is not ...
Página xi
... scalar and vector terms , the sums of the scalar and vector terms on either side are respec- tively equal . 65 CHAPTER V THE VARIOUS KINDS OF QUATERNIONS 45 ° . Collinear quaternions 66 46 ° . Reciprocal 66 " 9 47 ° . Opposite 67 " " 48 ...
... scalar and vector terms , the sums of the scalar and vector terms on either side are respec- tively equal . 65 CHAPTER V THE VARIOUS KINDS OF QUATERNIONS 45 ° . Collinear quaternions 66 46 ° . Reciprocal 66 " 9 47 ° . Opposite 67 " " 48 ...
Página xiii
... scalar 111 113 112 ° . " " an area 114 SECTION 2 Differential of a Vector 113 ° . General formula for the differential of a vector 114 ° . Differential of p = t2a 2 SECTION 3 115 116 = q2 Differential of a Quaternion 115 ° . General ...
... scalar 111 113 112 ° . " " an area 114 SECTION 2 Differential of a Vector 113 ° . General formula for the differential of a vector 114 ° . Differential of p = t2a 2 SECTION 3 115 116 = q2 Differential of a Quaternion 115 ° . General ...
Página xiv
... scalar equations 131 ° . 132 ° . 99 99 " " 99 can always be determined by three scalar equations cannot be eliminated by fewer than four scalar equations SECTION 2 Linear Vector Equations 133 ° . Definition of the general form of a ...
... scalar equations 131 ° . 132 ° . 99 99 " " 99 can always be determined by three scalar equations cannot be eliminated by fewer than four scalar equations SECTION 2 Linear Vector Equations 133 ° . Definition of the general form of a ...
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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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