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Elements of mechanics: treated by means of the differential and integral calculus (1887)

Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 69

An illustration from Elements of mechanics: treated by means of the differential and integral calculus, 1887, leaf 69
etrical lines and areas. 54. Let APBQ be a plane curve, and AB a diameter,that is, a line which bisects a system of parallel chords; let JP Q be one of thechords bisected. The centre of grav-ity of the chord JP Q will be upon AB,and in like manner, the centre ofgravity of any pair of points lying… … CENTRE OF GRAVITY. 65 made up of the system of parallel chords bisected, and sincethe centre of gravity of each chord is upon the diameter, itfollows that the centre of gravity of the area is upon thediameter. Hence, if any curve, or area, has a diameter, the centrfof gravity of the curve, or area,…

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