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" BD, is to their Difference ; fo is the Tangent of half the Sum of the Angles BDC and BCD, to the Tangent of half their Difference. "
Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ... - Side 47
av James Atkinson - 1770 - 447 sider
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Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ...

Henry Wilson - 1720 - 218 sider
.... • . >; v. . : AXIOM HI. , • , j In all Triangles, as the Sum of the Legs including any Angle is to their Difference, fo is the Tangent of half the Sum of the unknown Angles, to the Tangent of half th«ir Difference. •' . .; v ,. : "'. • -I AXIOM IV. In...
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Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - 1748 - 84 sider
...AC ; AB+ BC :: AB— BC: E THEOREM V. In any flam 'Triangle, it will be, as the Sum of any two Sides is to their Difference, fo is the Tangent of Half the Sum of the two oppojite Angles, to the Tangent cf Half their Difference. For, let ABC be the Triangle, and ABand...
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The Mathematician

1751 - 420 sider
...that as the Tangent of half the Sum of the unknown Angles in one Triangle, is to the Tangent of half their Difference, fo is the Tangent of half the Sum of the unknown Angles in the other Triangle, to the Tangent of half their Difference. But if the included...
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Navigation New Modelled

Henry Wilson - 1761 - 580 sider
...AXIOM in Trigonometry. Chap. I, AXIOM III. In all Triangles, as tlie Sum of the Leg"; of any Angle is to their Difference, fo is the Tangent of half the Sum of the other two Angles, to the Tangent of half their Difle^ rencc; and therefore, When there are given two...
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Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ...

James Atkinson - 1765 - 504 sider
...is. 7**' 3°™Their DifF. 33 " 6 ( f Sum is 394. ijm. Then, As the Sum of the Sides BC and BD, is te their Difference ; fo is the Tangent of half the Sum...to the Tangent of half their Difference. Or thus, Sum BC&BD-- Diff. BC & BD : : T. ^SumAngle-. T.±DifF. 185 Leagues •• 33 Leagues : : T. 3gd. 1501....
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A Complete Treatise of Practical Navigation, Demonstrated from It's First ...

Archibald Patoun - 1770 - 578 sider
...AB: BC, öfr. 'Tbeor. 2. In any plane Triangle ABC, icwill be as the Sum of any two Sides AC and BC, is to their Difference, fo is the Tangent of half the Sum of the Angles ВАС, ABC, at the Bafe AB, to the Tangent of half the Difference of the fame . Artgles. Î . Deftion....
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The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

John Hamilton Moore - 1791 - 578 sider
...on the Line of Numbers.' AXIOM III. In every Plane Triangle it will be, as the Sum of any two Side» is to their Difference,, fo is the Tangent of half the Sum of the Angles oppofite theft- Sides to the Tangent of half their Difference. ' Which half Difference, being added...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1795 - 384 sider
...Wholes are as their Halves, ie AH : IH : : CE : ED, that is, as the Sum of the two Sides AB and BC, is to their Difference ; fo is the Tangent of half the Sum of the two unknown Angles A and C, • to the Tangent of half their Difference. QED THEO. Plate V. <THE 0....
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