EXAMPLE 1.

Let the latitudes, on the same side of the equator, be 10° and 60°;

then the middle latitude and its complement are 35° and 55°, and half

the difference of the latitudes is 25°: and the difference of longitude

being 110°, the operation will stand as below.

Log. 6600´ (in 110°) 3.8195439

Constant log. -4.1015105

----------

-1.9210544

Log. sin. 35° -1.7585913

----------

S = ... -1.6796457

Again T = 1.4281480

_m_ = .4513202

---------

Log. (T + _m_) (= 1.8794682) 0.2740350

Log. (T - _m_) (= 0.9768278) -1.9898180

----------

Log. 0.2842170 = D = -1.4536500

----------

S - D (= log. tangent 59° 16´) = 0.2259957

agreeing to a minute with the solution by a table of meridional

parts.

Philosophical transactions, Vol. L. Part II. For the year 1758. Giving some account of the present undertakings, studies, and labours, of the ingenious, in many considerable parts of the world. · 第 25 / 119 题