A Primer of Quaternions
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33. Functions of a Quateenion q. The tensor of q, or briefly Tq, is its ratio of exten- sion. JE.g., T2 = 2=T{-2)= T{2, 30°).
The versor of q ( Uq) is the versor with the same arc of turn as q. E.g., U2 = l, U{-2)=-l, U{2, 30°)= (1,30°).
The arc, angle, axis, great circle, and plane of q, are respectively the arc, angular magni- tude, axis, great circle, and plane of its turn.
E.g., arc (2, 30°) is a counter-clockwise arc of 30° of unit radius in the plane of the paper, and arc (2, —30°) is the... same arc oppositely directed; Z (2, 30°) = Z(2, -30°) = 30° = 7r/6 radians; axis (2, 30°) is a unit length perpen- dicular to the plane of the paper directed towards the reader, and axis (2, —30°) is the same length oppositely directed ; etc.
46 PRIMER OF QUATERNIONS If qOA= OB, and if i be the foot of the per- pendicular from £ upon the line OA, then OL, LB are called the components of q's product B M B respectively parallel and perpendicular to the midtiplicand ; also, the projections of OB par- allel and perpendicular to OA.
What to read after A Primer of Quaternions?
You can find similar books in the "Read Also" column, or choose other free books by Hathaway, Arthur S. (Arthur Stafford), 1855- to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
33. Functions of a Quateenion q. The tensor of q, or briefly Tq, is its ratio of exten- sion. JE.g., T2 = 2=T{-2)= T{2, 30°).
The versor of q ( Uq) is the versor with the same arc of turn as q. E.g., U2 = l, U{-2)=-l, U{2, 30°)= (1,30°).
The arc, angle, axis, great circle, and plane of q, are respectively the arc, angular magni- tude, axis, great circle, and plane of its turn.
E.g., arc (2, 30°) is a counter-clockwise arc of 30° of unit radius in the plane of the paper, and arc (2, —30°) is the... same arc oppositely directed; Z (2, 30°) = Z(2, -30°) = 30° = 7r/6 radians; axis (2, 30°) is a unit length perpen- dicular to the plane of the paper directed towards the reader, and axis (2, —30°) is the same length oppositely directed ; etc.
46 PRIMER OF QUATERNIONS If qOA= OB, and if i be the foot of the per- pendicular from £ upon the line OA, then OL, LB are called the components of q's product B M B respectively parallel and perpendicular to the midtiplicand ; also, the projections of OB par- allel and perpendicular to OA.
What to read after A Primer of Quaternions?
You can find similar books in the "Read Also" column, or choose other free books by Hathaway, Arthur S. (Arthur Stafford), 1855- to read onlineMoreLess
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