Reaction water wheel, Strode's-patent, Wing's-patent, , improvement in Wing's-patent, Reeds, improved weavers, Senneff's-patent, of lead to pressure, Results of machinery, Rigging and masting vessels, De La Garde's-patent, Ropes and cordage, manufacturing, Harris'-patent, Ropes, manufacturing of, Townsend and Durfee's-patent, Sail cloth, Ramsay and Orr's-patent, S PAGE 85 86 89 26 143 141 342, 406 37 191 315 215 186 265 289 Sashes, window, Prosser's-patent, 185 Saw set, Whiting's-patent, 171 Scraping hides, William's-patent, 173 Self-adjusting rail-road car, with guide rails, Pollock's-patent, Stiffening hats, composition for, Macomber's-patent, Stringing piano fortes, mode of-patent, Sugar cane, culture and manufacture, -, crystallizing, Fawcett and Clark's-patent, 258 observations on, by patentee, 261 263 317 238 32 337 191 30 55 393 395 Sulphate of magnesia, manufacturing, Grisenthwaite's-patent, Tanning apparatus, Brown's-patent, T improvement in, Cogswell's-patent, Telescopes, invention of Thrashing and cleaning grain, Lane's-patent, -, spruce and pine, strength of, Tobacco, drying, or curing, Tuck's-patent, Turner on the value of ores of manganese, Types for music, Bruce's-patent, U Ure on gunpowder, detonating matches, &c. V W Vessels, rigging and masting, De La Garde's-patent, Watches, improved pivot holes for Water, report of Franklin Institute committee on, as a moving power, - -, boring for, Disbrow's-patent, wheel, improved, Howard's-patent, - power, new system of wheel shaft, splicing, wheel, reaction, Wing's-patent, improvement in Wing's-patent, testimonials in favour of, PAGE 33 47 181 320 327 270 179 229 384 . 62, 131 356 185 105, 202 37 128 145 92 143 386 214 292 85 86 OF THE FRANKLIN INSTITUTE OF THE State of Pennsylvania; DEVOTED TO THE MECHANIC ARTS, MANUFACTURES, GENERAL SCIENCE, AND THE RECORDING OF AMERICAN AND OTHER PATENTED INVENTIONS. EDITED BY THOMAS P. JONES, M. D. MEMBER OF THE AMERICAN PHILOSOPHICAL SOCIETY, AND OF THE ACADEMY OF PROFESSOR OF MECHANICS IN THE FRANKLIN INSTITUTE, WASHINGTON. VOL. VIII. NEW SERIES. PHILADELPHIA : PUBLISHED BY THE FRANKLIN INSTITUTE, AT THEIR HALL; THOMPSON & HOMANS, WASHINGTON CITY; G. & C. & H. CARVILL, NEW YORK; AND MONROE & FRANCIS, BOSTON. J. HARDING, PRINTER. 1831 JOURNAL OF THE FRANKLIN INSTITUTE OF THE State of Pennsylvania, DEVOTED TO THE MECHANIC ARTS, MANUFACTURES, GENERAL SCIENCE, AND THE RECORDING OF AMERICAN AND OTHER PATENTED INVENTIONS. JULY, 1831. On the Quadrature of the Circle, by the Editor. ALTHOUGH the practicability of making a perpetual motion is a question settled in the negative by every man well versed in the principles of mechanics; and although those acquainted in the higher geometry, have given up the attempt to square the circle, or, in other words, to find a square the area of which shall be exactly equal to that of a circle whose diameter is given; we are yet not unfrequently amused, through the medium of the journals of the day, with the assurance, that what has eluded the researches of the most able engineers, and the most profound mathematicians, has been luckily discovered by some sciolist, without the use of the midnight lamp. In a former number of this journal, we gave some account of the most prominent schemes of perpetual motion, and it is our design in the present article to notice the attempts which have been made to square the circle. We have been directed to this subject by some recent publications in the papers of Washington city, in which a gentleman in one of the public offices, has triumphantly announced his most complete success in this difficult, if not impossible problem; and informs us that he has entrusted his secret to fifteen individuals, all of whom are perfectly satisfied of the correctness of his principles. We are not told how many out of the fifteen are capable of forming a judgment upon the subject, but we happen, however, to know that at least one of the number is unacquainted with the meaning of decimals; and we also know that those most capable of deciding the question are not, and have no desire to be, of the number of the initiated. A few years ago VOL. VIII.-No. 1.-JULY, 1831. 1 |