The Outlines of QuaternionsLongmans, Green, 1894 - 190 páginas |
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Página vii
... drawn from the mean point to all the points of the system is zero 26 · • 26 36 ° . The projection of the mean point is the mean point of the projected system SECTION 2 Linear Equations connecting Four Noncoplanar Vectors 37 ° . Vector ...
... drawn from the mean point to all the points of the system is zero 26 · • 26 36 ° . The projection of the mean point is the mean point of the projected system SECTION 2 Linear Equations connecting Four Noncoplanar Vectors 37 ° . Vector ...
Página 2
... draw a straight line from A to B we must know , first , the Latitude of B ; secondly , its Longi- tude ; and thirdly , the Radius of the Earth . Every vector , then , implicitly involves three numbers ; one indicating its length , and ...
... draw a straight line from A to B we must know , first , the Latitude of B ; secondly , its Longi- tude ; and thirdly , the Radius of the Earth . Every vector , then , implicitly involves three numbers ; one indicating its length , and ...
Página 3
... drawn from the term B of the first to the term С of the second vector ( Hamilton ) . In symbols , fig . 1 , A'C ' AB AC - -- AB = BC . The foregoing definition is perfectly general , and includes the case in which the vectors are ...
... drawn from the term B of the first to the term С of the second vector ( Hamilton ) . In symbols , fig . 1 , A'C ' AB AC - -- AB = BC . The foregoing definition is perfectly general , and includes the case in which the vectors are ...
Página 4
... drawn from the origin of the first , B , to the term of the second , C. Hence , BA + AB = BB = 0 ( 1 ) 12 ° . We have now to consider the sum of two non- successive vectors . Definition . If there be two successive vectors , AC and CD ...
... drawn from the origin of the first , B , to the term of the second , C. Hence , BA + AB = BB = 0 ( 1 ) 12 ° . We have now to consider the sum of two non- successive vectors . Definition . If there be two successive vectors , AC and CD ...
Página 7
... drawn parallel to AB . We know from Euclid that OB ' = mOB ; hence , if OB = 6 , OB ' = mp . Similarly , A'B ' = mAB . But A Α FIG . 3 . A'B ' A'O + OB ' , and AB = AO + OB . Therefore , ma + mẞ = m ( a + B ) . It can be similarly ...
... drawn parallel to AB . We know from Euclid that OB ' = mOB ; hence , if OB = 6 , OB ' = mp . Similarly , A'B ' = mAB . But A Α FIG . 3 . A'B ' A'O + OB ' , and AB = AO + OB . Therefore , ma + mẞ = m ( a + B ) . It can be similarly ...
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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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