| 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... | |
| Thomas Simpson - 1748 - 84 sider
...AD+AB ~ AD— AB . T . . that is, As the Sine of the Sum of the two Perpendiculars, is to the Sine of their Difference, fo is the Tangent of half the Sum of the two Safes tfftbe Tangent of half their Difference. PROP. XXVI. The ProducJ of the Square of Radius... | |
| 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... | |
| Henry Wilson - 1761 - 580 sider
...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 - 1770 - 514 sider
...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...to the Tangent of half their Difference. Or thus, SumBC&BD..Diff.BC&BD::T.|SumAngle.1T_4Di<r. 185 Leagues •• 33 Leagues : :T. 3gd. ifm. • The half... | |
| Archibald Patoun - 1770 - 578 sider
...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.... | |
| John Hamilton Moore - 1791 - 578 sider
...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... | |
| Robert Gibson - 1795 - 384 sider
...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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