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" Then as the sum of the sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference (Theor. "
Navigation New Modelled - Side xiv
av Henry Wilson - 1761 - 528 sider
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Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ...

Henry Wilson - 1720 - 218 sider
...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 all right lined Triangles ; as the Bafe...
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The Mathematician

1751 - 420 sider
...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 Angle of one Triangle...
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A Concise System of Mathematics ...

Alexander Ingram - 1830 - 458 sider
...to get half the sum of the unknown angles. Then as the sura of the sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference. Having thus found the half difference, add it to the half sum to get the angle opposite to the greater...
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A complete treatise on practical land-surveying

Thomas Holliday - 1838 - 404 sider
...are given, to find the rest. u2 Rule.—As the sum of the two given sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference: this half difference being added to half the sum of the unknown angles will give the greater angle,...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 sider
...two angles and the third side. RULE. As the sum of the two given sides, is to their difference, so is, the Tangent of half the sum of the unknown angles, to the Tangent of half their difference. Half the difference thus found added to half their sum, gives the greater of the two angles, and deducted,...
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A Complete System of Mensuration ...

Alexander Ingram - 1851 - 202 sider
...to get half the sum of the unknown angles. Then as the sum of the sides is to their difference, so is the tangent of half the sum of the unknown angles to the tangent of half their difference (Theor. 4. Trig.) Having thus found the half difference, add it to the half sum to get the angle opposite...
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A Complete Epitome of Practical Navigation ...

John William Norie - 1852 - 844 sider
...Angle contained between them are given. As the sum of the two given sides Is to their difference, So is the tangent of half the sum of the unknown angles To the tangent of half their difference : This half difference added to half the sum of the unknown angles, gives the greater angle, and subtracted,...
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