This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 Excerpt: ...was saved only by the traces breaking. Always somewhat of a mystic, he considered this a special summons to abandon the world; he wrote an account of the accident on a small piece of parchment, which for the rest of his life he wore next to his heart to remind him of his covenant. He then moved to Port Royal, where he ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 Excerpt: ...was saved only by the traces breaking. Always somewhat of a mystic, he considered this a special summons to abandon the world; he wrote an account of the accident on a small piece of parchment, which for the rest of his life he wore next to his heart to remind him of his covenant. He then moved to Port Royal, where he continued to live until his death. Always delicate, he had injured his health by his incessant study, and from the age of seventeen or eighteen he suffered constantly from insomnia and acute dyspepsia. 196. His early essay on the geometry of conics, written in 1639 but not published till 1779, seems to have been founded on the teaching of Desargues. Two of the results are important as well as interesting. The first of these is the theorem known now as "Pascal's theorem," namely, that if a hexagon be inscribed in a conic, the points of intersection of the opposite sides will lie in a straight line. The second, which is really due to Desargues, is that if a quadrilateral be inscribed in a conic, and a straight line be drawn cutting the sides taken in order in the points A, B, C, and D, and the conic in P and Q, then PA.PC: PB.PD=QA.QC: QB.QD. 197. Pascal's Arithmetical Triangle was written in 1653, but not printed till 1665. The triangle can be easily written down, and the numbers in any diagonal give the coefficients of the expansion of a binomial: moreover the construction enables us to write down the expansion of (a ] b)" if that of (a + b)"-1 be known. Pascal used the triangle partly for this purpose and partly to find the numbers of combinations of m things taken n at a time, which he stated (correctly) to be (m +1)(- + 2)(ra + 3)...m/(m-n) 198. Perhaps as a mathematician Pascal is best known in connection with his co...
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Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 250grams, ISBN:
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Seller's Description:
Very Good in Good jacket. A Very Good copy (pencil owner's name) in green cloth of this 1930 printing, in a price-clipped Good dust jacket with chipping at the spine tips. Sound binding, clean/unmarked within, and not ex-library.