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Tangent of the Distance of the Perpendicular from the
Middle of the Base.

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In any spberical Triangle ABC, it will be, as the Co-tangent of Half the Sum of the Angles at the Base, is to the Tangent of Half their Difference, so is the

Tangent of Half the vertical Angle, to the Tangent of the Angle which the Perpendicular CD makes with the

Line CF bisecting the vertical Angle. (See the preceding Figure.)

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Note, In letting fall your Perpendicular, let it always be from the End of

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