Books Books In every plane triangle, it will be, as the sum of any two sides is to their difference... Trigonometry, Plane and Spherical: With the Construction and Application of ... - Page 6
by Thomas Simpson - 1748 - 77 pages ## Trigonometry Improv'd, and Projection of the Sphere, Made Easy: Teaching the ...

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... ## The Mathematician

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... ## Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ...

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 : :... ## Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ...

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.... ## A Complete Treatise of Practical Navigation, Demonstrated from It's First ...

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... ## The Practical Navigator, and Seaman's New Daily Assistant: Being an Epitome ...

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... ## A Treatise of Practical Surveying: Which is Demonstrated from Its First ...

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.... ## The New Practical Navigator: Being a Complete Epitome of Navigation: to ...

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... 