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Synopsis
Excerpt from Elements of Vector Algebra
It is scarcely necessary to explain that the deductions given in this book are based on Euclid's axioms, notably with the inclusion Of his postulate Of parallels - upon which the equality Of vectors is most essentially based. Those readers who are desirous Of seeing how the formal rules here given can be generalized so as to be valid independently of the axioms of congruence and of parallels, may consult the author's Projective Vector Algebra (bell Sons, and a sequel to it published in Phil. Mag. For July, 1919, pp. 115-143. It is, however, advisable for the student to become first thoroughly familiar with the euclidean vector algebra as here presented.
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