A Geometrical Vector Algebra
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In our eReader you can find the full English version of the book. Read A Geometrical Vector Algebra 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 Geometrical Vector Algebra
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C, A" may be regarded as the ratio of (1) Since A" B C to B; (2) It is the product of a tensor and a directed rotor, a", e (3) It is the sum of a scalar or number and a directed unlocated line or vector, a" cos 8 -\- a" a si. -t 0; (4) It is a quadrinomial of the form k -{- I x -\- my -\- nz, where k is a pure number and the directive units x, y, z, have the relations x^ = y- = 2- = xyz = — I.
21. VECTOR ARCS. The rotor e*^ turns thru the angle a about the axis A any vector in the plane perpend...icular to A. The index a is a vector angle whose axis is A and whose magnitude is a radians. The length of the subtended arc is a a. If this circular arc be taken as a vector, written a, it is understood that its angle is a, its axis A and its radius a. A vector arc may take any position in its own circle, and has therefore one more degree of freedom than its vector axis.
Vector arcs need not be confined to arcs of circles, but whether the extension to other curves would be of any particular value remains to be seen.
What to read after A Geometrical Vector Algebra?
You can find similar books in the "Read Also" column, or choose other free books by T Proctor Thomas Proctor Hall to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
C, A" may be regarded as the ratio of (1) Since A" B C to B; (2) It is the product of a tensor and a directed rotor, a", e (3) It is the sum of a scalar or number and a directed unlocated line or vector, a" cos 8 -\- a" a si. -t 0; (4) It is a quadrinomial of the form k -{- I x -\- my -\- nz, where k is a pure number and the directive units x, y, z, have the relations x^ = y- = 2- = xyz = — I.
21. VECTOR ARCS. The rotor e*^ turns thru the angle a about the axis A any vector in the plane perpend...icular to A. The index a is a vector angle whose axis is A and whose magnitude is a radians. The length of the subtended arc is a a. If this circular arc be taken as a vector, written a, it is understood that its angle is a, its axis A and its radius a. A vector arc may take any position in its own circle, and has therefore one more degree of freedom than its vector axis.
Vector arcs need not be confined to arcs of circles, but whether the extension to other curves would be of any particular value remains to be seen.
What to read after A Geometrical Vector Algebra?
You can find similar books in the "Read Also" column, or choose other free books by T Proctor Thomas Proctor Hall to read onlineMoreLess
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