The new American practical navigator : being an epitome of navigation, containing all the tables necessary ... (1802)
Bowditch, Nathaniel, 1773-1838, Lee, Marvin, former owner. DSI, Stuart, Gilbert, 1755-1828 DSI, Burndy Library, donor. DSI · [Salem] : Printed at Newburyport, Mass., 1802, by Edmund M. Blunt, for Cushing and Appleton, Salem : Sold by every book-seller, ship- chandler, and mathematical-instrument-maker in the United States and West Indies · leaf 44
alf the angle C, as the rectangle CB+CE+BE CBxCEisto 2CB-fCE—BE X . For continue EC to A, making C A —CB, draw ED per- 2pendiculartoCE,bifecl:CEinH,andjoin AB. Then(fuppofingCB to be great-er than EB) we have [byArt. 63.) CE : CB-fBE :: CB —BECB2—BE2 : ■ = 2 • H D ; by adding half of this to Cli… … -CE 2-CE AC+CD _ CB-fCD ; hence Ti5]2_ CB2+ _ CB- CD+CD2 ; alfo,BD2 _ CB» —CD2 ; hence AB2 __ AD2-f- BD2 _2-CB2 +l CB • CD—?.-CB, CB-f-CD — zCB • AD : hencq AB2 ; AD2 :: zCB : AD __ 4-cr Geometry/ CB-f-CE-f-BE * CB+CE—BE • ; but AB being radius, AD is the co-fine 2CEof the angle A, which is equal…
Navigation · Nautical astronomy
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