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Yes, by all means. It won’t do any harm to take a look at it. However, I would suggest that it would perhaps be advisable to go all the way through the LC course first to avoid any possible confusion caused by different methods of presentation.
Like all logic books of that period, Jevons’s is essentially a presentation of Aristotelian logic which is what I’m doing in my course. You could looks at sections VIII, IX, X, XV, XX and XXI to provide some supplementary reading to material I cover.
The book is available for PDF download from the Mises Institute at http://mises.org/library/elementary-lessons-logic so that, unless you’re uncomfortable reading online, there would be no compelling reason to buy it in hard copy.