Differential And Integral Calculus, With Applications

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200 SUCCESSIVE DIFFERENTIATION.
99. The Figure and Size of the Earth. i The size and figure of the Earth is inferred from the / measured length of a degree or minute of latitude at sea level ; the length is found to vary slightly with the , latitude, showing that the Earth is not exactly spherical ; but the length of a mean sexagesimal minute of latitude is i taken as one geographical, nautical, or sea mile (French mille), so that the length of a quadrant of a meridian is 90 X 60 = 5400 sea mil
...es; and the length of the Admiralty measured mile being taken as 6080 feet, the circumference of the Earth is 360 X 60 x 6080 feet.
On the Metric System the quadrant is divided cen- tesimally, and the mean centesimal minute of latitude is taken as the kilometre ; so that the quadrant is 10000 = 10 4 kilometres, or 10 7 metres, or 10 9 centimetres.
This would make the metre = 3'2832 feet; but as the metre is more nearly 3"2809 feet, this shows that the quadrant is about 10007 kilometres; but for practical purposes it is sufficient to take the round numbers.


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