On the Analytical Representation of Direction: An Attempt Applied Chiefly to Solving Plane and Spherical Polygons, 1797Royal Danish Academy of Sciences and Letters, 1999 - 143 Seiten |
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Seite 93
... ( x + ny + Ez ) ,, ( COS v + ε sin v ) = ( cos + ε sin 1⁄2 ) · ( x + ŋy + εz ) · ( cos + sin 2/2 ) • where is the quaternion product , and ( 22 ) similarly [ Juel 1895 , 35 ; Thiele in Wessel 1897 , XIV ] . Such observations are ...
... ( x + ny + Ez ) ,, ( COS v + ε sin v ) = ( cos + ε sin 1⁄2 ) · ( x + ŋy + εz ) · ( cos + sin 2/2 ) • where is the quaternion product , and ( 22 ) similarly [ Juel 1895 , 35 ; Thiele in Wessel 1897 , XIV ] . Such observations are ...
Seite 119
... ( x + ny + ɛz ) ,, ( Cos III + ɛ sin III ) = ny + ( x + ɛz ) · ( cos III + ɛ sin III ) as already observed §§ 28-32 . How the above equation s ,, I ' „ , II ' ,, III ' , „ , IV ' „ , V ' ‚ „ , ... ,, N ' = s , may serve in solving a spher ...
... ( x + ny + ɛz ) ,, ( Cos III + ɛ sin III ) = ny + ( x + ɛz ) · ( cos III + ɛ sin III ) as already observed §§ 28-32 . How the above equation s ,, I ' „ , II ' ,, III ' , „ , IV ' „ , V ' ‚ „ , ... ,, N ' = s , may serve in solving a spher ...
Seite 121
... x + ny + ɛz , while the second is = x + 7 + εz : then according to § 3 Ez = 3 ; in this equation the IV ' does not occur , because IV ' = cos IV + sin IV , i.e. since there was multiplication by IV ' in the first term , the ɛz was ...
... x + ny + ɛz , while the second is = x + 7 + εz : then according to § 3 Ez = 3 ; in this equation the IV ' does not occur , because IV ' = cos IV + sin IV , i.e. since there was multiplication by IV ' in the first term , the ɛz was ...
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On the Analytical Representation of Direction: An Attempt Applied Chiefly to ... Caspar Wessel Eingeschränkte Leseprobe - 1999 |
On the Analytical Representation of Direction: An Attempt Applied Chiefly to ... Caspar Wessel Keine Leseprobe verfügbar - 1999 |
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