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A treatise on gear wheels (1904)

Grant, George B. (George Barnard), 1849-1917 · Boston, Grant gear works, incorporated · leaf 17

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ocess of integration. These processes, for the general case wherethe pitch line is curved, are quite intricate,but when the pitch line is a straight line,they are simple, and may be worked asfollows. To get the equation of the line of actionfrom that of the given rack odontoid, ar-range the… … d Xd V —y and y =X ^ tan. A X* ^ tan. A the equation of the straight line of action atright angles to the odontoid. Again, theequation of the cycloid being x = ver. sin.-i 1 y V^ry —d Xdy , X = ver. sm. y V 2ry—y^ y iS and x^ -\-y^ = 2ry is the equation of thecircular line of action. To get the…

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