b=asin. Bsin. A,c=asin. Csin. A.
b=asin. Bsin. A,c=asin. Csin. A.
To compute the Areas of Triangles.—When two sides and the included angle are known,aandbrepresenting the two sides and θ the included angle,
A =a bsin. θ2.
A =a bsin. θ2.
To find by logarithms the area in acres and decimals of an acre,
Log. A = log.a+ log.b+ log. sin. θ - 15·30103.
Log. A = log.a+ log.b+ log. sin. θ - 15·30103.
When two angles and the included side are known, β and θ being the angles andathe included side,
A =a2sin. β sin. θ2 sin. (β + θ).
A =a2sin. β sin. θ2 sin. (β + θ).
To find by logarithms the area in acres and decimals of an acre,
Log. A = 2 log.a+ log. sin. β + log. sin. θ - log. sin. (β + θ) - 15·30103.
Log. A = 2 log.a+ log. sin. β + log. sin. θ - log. sin. (β + θ) - 15·30103.
When the three sides are known,abcbeing the three sides andstheir half sum,
A = √s(s-a)(s-b)(s-c).
A = √s(s-a)(s-b)(s-c).
To find by logarithms the area in acres and decimals of an acre,
Log. A =log.s+ log. (s-a) + log. (s-b) + log. (s-c)2- 5.
Log. A =log.s+ log. (s-a) + log. (s-b) + log. (s-c)2- 5.
Table showing the Reduction in Links and Decimals of a Link to be made per Chain for every Half Degree of Inclination from 3° to 30°.
Table showing the Reduction in Links and Decimals of a Link to be made per Chain for every Half Degree of Inclination from 3° to 30°.
Table of Corrections in Feet and Decimals of a Foot.
Table of Corrections in Feet and Decimals of a Foot.