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Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables (1852)

Perkins, George R. (George Roberts), 1812-1876 · New York, D. Appleton · leaf 20

An illustration from Plane trigonometry, and its application to mensuration and land surveying. Accompanied with all the necessary logarithmic and trigonometric tables, 1852, leaf 20
note the length of the arc whichmeasures this angle ; also let the an-gle CAD be denoted by o ; then willBAD be denoted by a-\-o. Draw EF perpendicular to AC, andfrom the points E and F draw EGand FH perpendicular to AB; alsodraw FK perpendicular to EG. Since the sides of the triangleEFK are… … AE AE AE HF AF KE EF AFXAE + EF XAE* 10 TRIGONOMETRY. [CHAP. I. HF AF KE By our definitions (§ 8), -^—r = sin. a ; -r-g = cos. b; ^ cos. a; EF AE sin. b. Hence, we have sin. {a-\-b)~ sin. a cos. b + cos. & sin. &.Again, we have , .., xx AG AH-KF AH KF AE AE AE AE AH AF KF EF x...-.. . ,…

Plane trigonometry · Surveying

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