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" ED. that is as the sum of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their difference. "
A Treatise of Practical Surveying: Which is Demonstrated from Its First ... - Strona 89
autor: Robert Gibson - 1795 - Liczba stron: 319
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Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ...

Henry Wilson - 1720 - Liczba stron: 192
.... • . >; 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 - Liczba stron: 77
...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 AC...
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The Mathematician

1751 - Liczba stron: 399
...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 - Liczba stron: 528
...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 - Liczba stron: 447
...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 of the Angles BDC and BCD, to the Tangent of half their Difference. Or thus, Sum BC&BD-- Diff. BC & BD : :...
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A Complete Treatise of Practical Navigation: Demonstrated from Its First ...

Archibald Patoun - 1770 - Liczba stron: 525
...S; A.:; 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...
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Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ...

James Atkinson - 1770 - Liczba stron: 447
...• f Sum is The twooppofite Angles [iSum.s Their- Diff. 33, Then, As the Sum of the Sides BC and 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. Or thus, SumBC&BD..Diff.BC&BD::T.|SumAngle.1T_4Di<r....
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The Practical Navigator, and Seaman's New Daily Assistant. ...

John Hamilton Moore - 1791 - Liczba stron: 296
...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...
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A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

Robert Gibson - 1806 - Liczba stron: 452
...angles A and C: now IG being parallel to AC ; AH : IH : : CH : GH. (by cor. 1. theo. 20. sect. 1.) But the wholes are as their halves, ie AH : IH : :...of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their...
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A Treatise of Practical Surveying, ...

Robert Gibson - 1808 - Liczba stron: 440
...IG being parallel to AC ; AH : IH : : CH : GH. (by cor> 1. theo. 20. seft. 1.) But the wholes areas their halves, ie AH : IH : : CE : ED, that is, as...of the two sides AB and BC, is to their difference ; so is the tangent of half the sum of the two unknown angles A and C, to the tangent of half their...
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