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Elements of mechanics: for the use of colleges, academies, and high schools (1859)

Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 67

An illustration from Elements of mechanics: for the use of colleges, academies, and high schools, 1859, leaf 67
Gravity of symmetrical 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 PQ be one of thechords bisected. The centre of grav-ity of the chord PQ will be upon AB,and in like manner, the centre ofgravity of any pair of… … 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 centreof gravity of the curve, or…

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