. The Scientific American reference book; a compendium of useful information for inventors and mechanics, containing the complete patent laws of the United States ... forms for patents, caveats, assignments, licenses, and shop rights ... etc., etc . be the radius of i Problem 3.—^To find the diameterof a circle that shall be any numberof times the area of a given circle:Let A B C D be the given circle;draw the two diameters A B and C Dat right angles to each other, and thecord A D will be the radius of thecircle o P, twice the area of the givencircle nearly; and half the cord will,circle that


. The Scientific American reference book; a compendium of useful information for inventors and mechanics, containing the complete patent laws of the United States ... forms for patents, caveats, assignments, licenses, and shop rights ... etc., etc . be the radius of i Problem 3.—^To find the diameterof a circle that shall be any numberof times the area of a given circle:Let A B C D be the given circle;draw the two diameters A B and C Dat right angles to each other, and thecord A D will be the radius of thecircle o P, twice the area of the givencircle nearly; and half the cord will,circle that will contain half the area, Problem 4.—To describean ellipsis, the transverseand conjugate diameters be-ing given: From o, ascentre, with the differenceof the transverse and con-jugate semi-diameters, setoff* o c and o d ; draw the diagonal c c?, and continue the line o c to A:, by the addition of half the diagonal c <Z,then will the distance o khe the radius of the centres thatwill describe the ellipsis; draw the hnes A B, C D, C E,and B H, cutting the semi-diameters of the ellipsis in thecentres k B m n; then with the radius m s, and with k,and m as centres, describe the arcs D H and A E ; also,with the radius n r, and with n and B as centres, describethe arcs E H and A H, and the figure A E D 11 will be theellipsis required. The Scientific American.—It is hardly necessaryfor us to speak of its merits to those who are thoroughlyposted up in the improvements of the age ; but the generalreading public may not be so well aware that it contains thefinest engravings of all the late inventions—the new moni-


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