| Henry Wilson - Astronomy - 1720 - 218 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 - 520 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 - 584 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 - 578 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 - 384 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 - 710 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 - 356 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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