Log _l_ = 4·30194 Log _l_² = 8·604 - - Log cos _Z_ = 1·63416 Log sin² _Z_ = 1·911 - - _B_ 2·51194 _C_ = 9·053 ------- ----- - 2·44804 = 1·568 ------- ----- _d_φ, 1st term = + 280″·6 Log _l_ = 4·30194 - 2nd term = − 0″·4 Log sin _Z_ = 1·95545 -------------- - _d_φ = 280″·2 _A′_ = 2·50948 ------- = 4′ 40″·2 = 2·76687 - φ = 23° 55′ 30″·6 Log cos φ′ = 1·96072 -------------- ------- φ′ = 24° 0′ 10″·8 = 2·80615 -------------- ------- _d_λ = 640″·0 Whence = 10′ 40″·0 { φ′ = 24° 0′ 10″·8 λ = 34° 54′ 36″·9 260 { -------------- { λ′ = 35° 5′ 16″·9 λ′ = 35° 5′ 16″·9 -------------- In the above, it will be noticed that the azimuth is always noted as so much east or west of north or south. If this convention be adopted, one may consider the first term of _d_φ as always +, and the second term will be + if the azimuth contains the word south,—if it is from the north, while the total _d_φ is to be added or subtracted according as one is going north or south. A somewhat similar convention is adopted in neglecting the sign of _d_λ till the actual addition or subtraction is made. It was found in the field that this method prevented any mistake of sign, while being much simpler to work than one involving angles greater than 90°.