A Primer of Quaternions
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In our eReader you can find the full English version of the book. Read A Primer of Quaternions Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book 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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