## Areas and volumes: their accurate and approximate determination |

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### Common terms and phrases

area contained area in square area-rule areas and volumes arithmetic mean axis base base-line BD bounding centimetre centre Chapter circle of radius circumference cone cordite cross-section cubic feet cubic inches curve AC curved surface cylinder displacement Divide the base-line eleven ordinates equation Examples Ilia figure Find an expression find the area Find the volume frustum ft.-lbs ft./sec given graph height h Hence hv h2 IIIc lbs.-weight length mean height mean ordinate mean value methods mid-ordinate rule middle-ordinates miles per hour multiplied number of units ordinates hv Pappus parabola parallel perpendicular piston face plane Plot points polygon poundals prism radii rectangle respectively result right angles right pyramid seconds sector shown Simpson's rule solid of revolution speed sphere spherical cap spherical segment square inches square units stair starts from rest straight line top and bottom Total 20 Sum trapezium rule vertical height zone