Projective Vector Algebra; An Algebra of Vectors Independent of the Axioms of Congruence And of Parallels
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In our eReader you can find the full English version of the book. Read Projective Vector Algebra; An Algebra of Vectors Independent of the Axioms of Congruence And of Parallels 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 Projective Vector Algebra; An Algebra of Vectors Independent of the Axioms of Congruence And of Parallels
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To quickly assess the difficulty of the text, read a short excerpt:
Vice versa, if 0, S, T, were our original data we could derive from Fig. 2i the way of con- structing the fourth harmonic M (conjugate to Tg), thus : Through S draw two straights l^, l^, and let their termini be T^, Tg ; draw T^O and TgO, cutting /j, l^ in A, B; then AB will cross OT^ in the required point M.
We have already called 2X the double of the vector X. Similarly we can call M = |S one-half of S and XM one-half of Y-X, the other diagonal. Thus the above result can now safely be stated ...in the following manner : The diagonals of a plane quadrilateral, whose opposite sides are vectorially equal,* bisect one another.
Notice that in virtue of this result (and by Ex. 2) the straight TtM bisects OX, and T^M bisects OY. This gives another^very convenient, method of constructing the 'mid-point' of a given segment.
It is scarcely necessary to add that if we write (vectorially) AM=x{AB) and MB=x'{AB), where M is any point of the segment AB, then x + x' = i.
For this means only that AM+MB=AB, which was the rule for adding a chain of vectors.
What to read after Projective Vector Algebra; An Algebra of Vectors Independent of the Axioms of Congruence And of Parallels?
You can find similar books in the "Read Also" column, or choose other free books by Ludwik Silberstein to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Vice versa, if 0, S, T, were our original data we could derive from Fig. 2i the way of con- structing the fourth harmonic M (conjugate to Tg), thus : Through S draw two straights l^, l^, and let their termini be T^, Tg ; draw T^O and TgO, cutting /j, l^ in A, B; then AB will cross OT^ in the required point M.
We have already called 2X the double of the vector X. Similarly we can call M = |S one-half of S and XM one-half of Y-X, the other diagonal. Thus the above result can now safely be stated ...in the following manner : The diagonals of a plane quadrilateral, whose opposite sides are vectorially equal,* bisect one another.
Notice that in virtue of this result (and by Ex. 2) the straight TtM bisects OX, and T^M bisects OY. This gives another^very convenient, method of constructing the 'mid-point' of a given segment.
It is scarcely necessary to add that if we write (vectorially) AM=x{AB) and MB=x'{AB), where M is any point of the segment AB, then x + x' = i.
For this means only that AM+MB=AB, which was the rule for adding a chain of vectors.
What to read after Projective Vector Algebra; An Algebra of Vectors Independent of the Axioms of Congruence And of Parallels?
You can find similar books in the "Read Also" column, or choose other free books by Ludwik Silberstein to read onlineMoreLess
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