 | Henry Wilson - Astronomy - 1720 - 214 pages
.... • . >; 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... | |
 | Geometry - 1751 - 420 pages
...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... | |
 | Henry Wilson - Navigation - 1761 - 580 pages
...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... | |
 | James Atkinson - Navigation - 1765 - 504 pages
...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 : :... | |
 | James Atkinson - Navigation - 1770 - 516 pages
...• 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.... | |
 | Archibald Patoun - Navigation - 1770 - 580 pages
...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... | |
 | John Hamilton Moore - Nautical astronomy - 1791 - 558 pages
...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... | |
 | Robert Gibson - Surveying - 1795 - 386 pages
...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. III.... | |
 | John Hamilton Moore - Nautical astronomy - 1810 - 644 pages
...from 640 to вов' on the line of numbers, equal AC. OBLIQUE TRIGONOMETRY. AXIOM III. In every plane triangle it will be, as the sum of any two sides, is to their difference, '.o is rhe* tangent of half; he sum of the angles opposite these sides, to the tangent of half their... | |
 | William Nicholson - Natural history - 1821 - 358 pages
...find the angle B 1) C obtuse, and the side C D. To the sine DC 56.88 1.75485 Axiom III. In every plane triangle, it will be as the sum of any two sides is to their difference ; so is the tangent of half the sum of the angles opposite there, to the tangent of half their difference.... | |
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In every plane triangle, it will be, as the sum of any two sides is to their difference... 
