Account Of The Life And Writings Of Robert Simson, M.d.; Late Professor Of Mathematics In The…

Paperback | May 20, 2012

byWilliam Trail

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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. 1812 Excerpt: ...Propositions are also called problems, from a double meaning of the word; and among such problems Loci must of course have a place, and therefore Porism also; but it is not easy to reconcile the different observations of Proclus on this subject. aX5" + Hebvao. edit p. 61. If any such notion had existed in the times of Pappus or Proclus, as the ingenious desinition of Mr. Playfair involves, we might have expected some reference or allusion to it in a discussion like this concerning problems. Proclus, in the present slate of the text, even w.ith all the skill of Barocius, is not always intelligible, nor consistent in his disserent observations on the fame subject. See his comment on the 1st Prop. Eucl.; also on the 22d Prop, compared with his comment on the corollary to the 15th Prop. Note E. p. 57. The 1 nth Prop, of the seventh book of Pappus has become remarkable, from the consideration which has been given to it by many distinguished mathematicians of modern times, more than from any particular excellence belonging to it, as it stands in that author. In 1742, an extension of it was proposed by M. CRAMERof Geneva to M. De Castillon,viz. by supposing the three points not to be in a straight line, as is assumed in the Proposition of Pappus; and then the problem was thus expressed, "a circle and three " points being given in position, to inscribe a triangle in the circle of which " the three sides (hall respectively pass through the three given points." It was not however till H76, that Castillon published a solution, in the Berlin Memoirs of that year. The solution is geometrical, and distinguislied into many cases, fn the fame volume is an algebraical solution by La Grange, by means of some trigonometrical formulas. In the Pelersbur...

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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. 1812 Excerpt: ...Propositions are also called problems, from a double meaning of the word; and among such problems Loci must of course have a pla...

Format:PaperbackDimensions:58 pages, 9.69 × 7.44 × 0.12 inPublished:May 20, 2012Publisher:General Books LLCLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0217163106

ISBN - 13:9780217163101

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