 | Henry Wilson - 1720 - 218 σελίδες
.... • . >; 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... | |
 | Thomas Simpson - 1748 - 84 σελίδες
...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... | |
 | 1751 - 420 σελίδες
...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 - 1761 - 580 σελίδες
...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 - 1765 - 504 σελίδες
...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 : :... | |
 | Archibald Patoun - 1770 - 578 σελίδες
...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... | |
 | James Atkinson - 1770 - 514 σελίδες
...• 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.... | |
 | John Hamilton Moore - 1791 - 578 σελίδες
...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 - 1806 - 486 σελίδες
...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... | |
 | Robert Gibson - 1808 - 482 σελίδες
...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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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. 
